Answers
The pair of vertical angles are;
<E and <F
<T and < U
What are vertical angles?Vertical angles are defined as a pair of non-adjacent angles formed when two lines intersect.
When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles.
A pair of vertically opposite angles are always equal to each other.
These angles are congruent and of the same measure.
From the diagram shown, we have the angles as;
Vertical pairs as;
<E and <F
<U and < T
Learn about vertical angles at: https://brainly.com/question/1673457
#SPJ1
Related Questions
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
Answers
The two options that represent circles with diameter 12 units and center on the y-axis are:
x² + (y - 6)² = 36
x² + (y + 6)² = 36
What is circles diameter?The diameter of a circle is a straight line segment that passes through the center of the circle and connects two points on its circumference. It is twice the length of the circle's radius.
The equations that represent circles that have a diameter of 12 units and a center that lies on the y-axis are:
x² + (y - 6)² = 36
x² + (y + 6)² = 36
Explanation:
For a circle with diameter 12 units, the radius is half of the diameter, which is 6 units.
Since the center of the circle lies on the y-axis, the x-coordinate of the center is 0.
The general equation for a circle with center (h, k) and radius r is (x - h)² + (y - k)² = r².
Using the given information, we substitute h = 0, k = ±6, and r = 6 to get the two equations:
(x - 0)² + (y - 6)² = 6² => x² + (y - 6)² = 36
(x - 0)² + (y + 6)² = 6² => x² + (y + 6)² = 36
Therefore, the two options that represent circles with diameter 12 units and center on the y-axis are:
x² + (y - 6)² = 36
x² + (y + 6)² = 36
To know more about circles diameter visit:
https://brainly.com/question/28162977
#SPJ1
Jane takes her turn on the vine to practice her swing. As she swings, she goes back and forth across the river bank alternately over land and water. She has spent some time thinking about her motion and tells Tarzan to set the stopwatch to take measurements. Assume that her distance varies sinusoidally with the time of her swing. Tarzan finds that when time is 2 seconds, she is -30 feet over land. At time equals 6 seconds, she has crossed 20 feet of water.
Answers
The equation for the sinusoidal function that represents Jane's motion would be d(t) = 25 x sin(π/4 x (t + 4)) - 5
How to find the sinusoidal function ?Let d(t) be the distance Jane is from the bank (in feet) at time t (in seconds). Since Jane's motion is sinusoidal, we can express it as:
d(t) = A x sin(B x (t - C)) + D
We need to find the values of A, B, C, and D that satisfy these conditions.
Since the amplitude is half the peak-to-peak amplitude, we have:
A = 50 / 2 = 25
The vertical shift (D) is the average of the maximum and minimum distances:
D = (20 + (-30)) / 2 = -10 / 2 = -5
Since the sine function is -1 at 3π/2 (270 degrees), we have:
π/4 x (2 - C) = 3π/2
2 - C = 6
C = -4
So, the equation of the sinusoidal function representing Jane's motion is:
d(t) = 25 x sin(π/4 x (t + 4)) - 5
Find out more on sinusoidal function at https://brainly.com/question/26288131
#SPJ1
The question is:
Find the sinusoidal function that represents Jane's motion.
An angle measures 3. 4° less than the measure of its complementary angle. What is the measure of each angle?
Answers
Answer:
Let x be the measure of the angle we are trying to find, in degrees.
The complementary angle to x is 90° - x, since the sum of complementary angles is 90 degrees.
The problem tells us that x is 3.4 degrees less than its complementary angle, so we can set up the following equation:
x = (90 - x) - 3.4
Simplifying and solving for x, we get:
x = 86.6/2
x = 43.3
Therefore, the angle we are trying to find has a measure of 43.3 degrees, and its complementary angle has a measure of 90 - 43.3 = 46.7 degrees.
veterinary science: colts the body weight of a healthy 3-month-old colt should be about m 5 60 kg (source: the merck veterinary manual, a standard reference manual used in most veterinary colleges). (a) if you want to set up a statistical test to challenge the claim that m 5 60 kg, what would you use for the null hypothesis h0 ? (b) in nevada, there are many herds of wild horses. suppose you want to test the claim that the average weight of a wild nevada colt (3 months old) is less than 60 kg. what would you use for the alternate hypothesis h1 ? (c) suppose you want to test the claim that the average weight of such a wild colt is greater than 60 kg. what would you use for the alternate hypothesis? (d) suppose you want to test the claim that the average weight of such a wild colt is different from 60 kg. what would you use for the alternate hypothesis? (e) for each of the tests in parts (b), (c), and (d), would the area corresponding to the p-value be on the left, on the right, or on both sides of the mean? explain your answer in each case
Answers
(a) For the null hypothesis, we would use the claim that the average weight of a healthy 3-month-old colt is equal to 60 kg, that is,
H0 : μ = 60 kg.
(b) For the alternate hypothesis, we would use the claim that the average weight of a wild Nevada colt (3 months old) is less than 60 kg, that is,
H1: μ < 60 kg.
(c) For the alternate hypothesis, we would use the claim that the average weight of a wild Nevada colt (3 months old) is greater than 60 kg, that is, H1: μ > 60 kg.
(d) For the alternate hypothesis, we would use the claim that the average weight of a wild Nevada colt (3 months old) is different from 60 kg, that is, H1: μ ≠ 60 kg.
(e) For the test in part (b), the area corresponding to the p-value would be on the left of the mean because the alternate hypothesis is one-tailed and represents a left-tailed test.
For the test in part (c), the area corresponding to the p-value would be on the right of the mean because the alternate hypothesis is one-tailed and represents a right-tailed test.
For the test in part (d), the area corresponding to the p-value would be on both sides of the mean because the alternate hypothesis is two-tailed and represents a two-tailed test.
For similar question on hypothesis.
https://brainly.com/question/30897245
#SPJ11
which vaule of y makes the equation true 13 - y = 17 true?
pls help
Answers
Answer:
y = -4
Step-by-step explanation:
13 - y = 17
y = 13 - 17 = -4
Answer:
y = -4
Step-by-step explanation:
Alright so you shift the y to the other side:
13 = 17 + y
Now you shift the 17 to the other side,
y = 13 - 17 = -4
Hence, y = -4
Hope this helps and be sure to mark this as brainliest! :)
Solving systems by eliminations; finding the coeficients
please write all the problems down, 10 points for each problem, and Brainliest
Answers
As this is a contradiction, the system cannot be solved. The parallel lines of the two equations do not intersect.
what is equation ?A mathematical expression called and equation demonstrates the parity of two factors or values. It typically includes exponents, parameters, constants, and mathematical like addition, subtraction, multiplication, and division. Finding an unknown variable's value or expressing a correlation between a number of variables is the goal of an equation. To simulate real-world occurrences and address issues, equations are utilised in many mathematical areas, science, and engineering. Systems of equations, linear equations, and quadratic equations are a few types of equations.
given
We can multiply the first equation by two and then add the second equation to the system to find the solution via elimination. This results in:
[tex]2(x - 3y = 7) = 2x - 6y = 14\\2x - 6y = 12[/tex]
To remove x, we may now subtract the second equation from the first equation:
[tex](2x - 6y = 14) - (2x - 6y = 12) = 0[/tex]
That amounts to:
0 = 2
As this is a contradiction, the system cannot be solved. The parallel lines of the two equations do not intersect.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Forever Fitness charges $50 a month and $15 for each exercise class you take. Peachtree Gym charges $75 a month and $10 for each exercise class. How many exercise classes must you take in one month so that the cost of Forever Fitness is the same as Peachtree Gym?
Answers
Number of exercise classes must you take in one month so that the cost of Forever Fitness is the same as Peachtree Gym is 8
Let's denote by x the number of exercise classes taken in one month.
For Forever Fitness, the total cost in one month would be:
50 + 15x
For Peachtree Gym, the total cost in one month would be:
75 + 10x
We want to find out when these two costs are equal, so we can set them equal to each other and solve for x
50 + 15x = 75 + 10x
Simplifying this equation by subtracting 10x from both sides gives:
40 = 5x
Dividing both sides by 5 gives
x = 8
Learn more about equation here
brainly.com/question/14603452
#SPJ4
Chipwich Summer Camp surveyed 100 campers to determine which lake activity was their favorite. The results are given in the table.
Lake Activity Number of Campers
Kayaking 15
Wakeboarding 11
Windsurfing 7
Waterskiing 13
Paddleboarding 54
If a circle graph was constructed from the results, which lake activity has a central angle of 54°?
Kayaking
Wakeboarding
Waterskiing
Paddleboarding
Answers
If a circle graph was constructed from the results, the lake activity has a central angle of 54° is Paddleboarding.
How to find lake activity?To find the lake activity with a central angle of 54° in the circle graph, we need to determine the percentage of campers who chose that activity.
The total number of campers surveyed is 100, and the number of campers who chose paddleboarding is 54. Therefore, the percentage of campers who chose paddleboarding is:
54/100 x 100% = 54%
To convert this percentage to a central angle in degrees, we can use the formula:
Central angle = Percentage * 360°
So, the central angle for paddleboarding is:
54% x 360° = 194.4°
Therefore, the correct option is d. Paddleboarding.
Learn more about circle graphs, here:
https://brainly.com/question/30289738
#SPJ1
what is the surface are of a cylender when the radius is 6in and the height is 9 in
Answers
Answer:
565.486677646 inches squared
Step-by-step explanation:
Let's recall the formula for the surface area of a cylinder:
[tex]A=2\pi rh+2\pi r^2[/tex]
Where r is the radius and h is the height.
We are given that the radius is 6 inches and the height is 9 inches.
Substitute the values and solve the equation, like so:
[tex]A=2\pi (6)(9)+2\pi (6)^2=\\A=2\pi (54) +2\pi(36)=\\A=108\pi +72\pi =\\A=180\pi[/tex]
Thus, in terms of pi, the surface area is equal to [tex]180\pi[/tex].
180 times pi is equal to approximately 565.486677646 inches squared.
what are the first four terms if a1=5 and an=3an-1?
Answers
a1 = 5
a2 = 3a1 = 3(5) = 15
a3 = 3a2 = 3(15) = 45
a4 = 3a3 = 3(45) = 135
Therefore, the first four terms of the sequence are:
5, 15, 45, 135.
PLEASE ANSWER DUE TODAY!!!!
Answers
Answer:
below
Step-by-step explanation:
26. yes because a straight line is formed
27. domain - -2 to 2
range -2 to 1
Answer:
Yes, the graph is a linear function.
Domain: x∈[-2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5]
Range: y∈[-1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2]
Step-by-step explanation:
A linear function is an expression that will form a straight line when graphed (or a graph that forms a straight line). These points form a straight line, so the function is linear.
The domain of the function is everything that x can be equal to. We can see here that the ordered points are:
(-2, -1.5), (-1.5, -1), (-1, -0.5), (-0.5, 0), (0, 0.5), (0.5, 1), (1, 1.5), (1.5, 2)
So, the domain of the function is all of the x values of the ordered pairs, or:
x∈[-2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5]
(the symbol next to the x means "belongs to.")
As for the range, it is everything that y can be equal to. Let us look once again at the ordered pairs. The range of the function is equal to the y coordinates of these ordered pairs, or:
Range: y∈[-1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2]
Keep in mind that if the function contains more than one value for x or y, it is listed ONLY ONCE in the domain/range.
the average number of phone inquiries per day at the emergency center is four. find the probability that it will receive five calls on a given day.
Answers
the probability that the emergency center will receive five calls on a given day is approximately 0.156, or 15.6%.
To find the probability of receiving five calls on a given day at the emergency center, we need to use the Poisson distribution formula:
[tex]P(x = 5) = (e^{-4})*\frac{(4^5)}{(5!)}[/tex]
Where:
- x = number of phone inquiries
- e = Euler's number (approximately 2.71828)
- ! = factorial (i.e. 5! = 5*4*3*2*1)
Given that the average number of phone inquiries per day is four, we can use that as our lambda (λ) value in the Poisson distribution formula, since lambda represents the mean number of events in a specific time interval:
λ = 4
Now we can substitute these values into the formula and solve:
P(x = 5) = (e^-4)*(4^5)/(5!) = (2.71828^-4)*(1024)/(120) ≈ 0.156
Therefore, the probability that the emergency center will receive five calls on a given day is approximately 0.156, or 15.6%.
learn more about Poisson distribution formula:
https://brainly.com/question/30388228
#SPJ11
The probability that the emergency center will receive five calls on a given day is approximately 0.1755 or 17.55%.
To find the probability that the emergency center will receive five calls on a given day, given that the average number of phone inquiries per day is four, we can use the Poisson distribution formula.
Identify the average rate (λ): In this case, λ = 4 calls per day.
Identify the desired number of events (k): In this case, k = 5 calls.
Use the Poisson distribution formula: [tex]P(X = k) = (e^(-λ) \times (λ^k)) / k![/tex]
e is the base of the natural logarithm (approximately 2.71828)
λ is the average rate
k is the desired number of events
k! is the factorial of k
Plug in the values and calculate the probability:
[tex]P(X = 5) = (e^{(-4)} \TIMES (4^5)) / 5![/tex]
[tex]P(X = 5) = (0.0183 \times 1024) / 120[/tex]
P(X = 5) ≈ 0.1755
So, the probability that the emergency center will receive five calls on a given day is approximately 0.1755 or 17.55%.
for such more question on probability
https://brainly.com/question/24756209
#SPJ11
Which of the numbers listed below are solutions to the equation? Check all
that apply.
x = 49
A. 9
B. 7
C. -7
D. -49
E. 49
F. None of these
Answers
The only solution for the equation is the one in option E, 49
Which numbers are solution for the equation?Here we have the equation:
x = 49
A value of x is a solution only if the equation is true, this means, we have the same number in both sides.
Here obviously there exist only one solution, and it is when x takes the value 49.
49 = 49
So the only correct option is E.
Learn more about equationsa t:
https://brainly.com/question/22688504
#SPJ1
25 Points Please Help!!!
Denae is designing bouquets for the tables at her restaurant. She wants at least twice as many daisies as daffodils in each bouquet. Daisies are $0. 50 each and daffodils are $0. 75 each. Denae has a total of $50 to spend. Denae needs both daisies and daffodils in each bouquet.
Let x represent the number of daisies. Let y represent the number of daffodils.
Which inequalities are among the constraints for this situation?
Select each correct answer.
y > 0
y≤2xy≤2x
x≤2yx≤2y
0. 5x+0. 75y≤500. 5x+0. 75y≤50
x≥0. 5
Answers
The correct answer from the following given to find the details regarding the bouquet is:
y > 0
x ≥ 2y
0.5x + 0.75y ≤ 50
From the problem, we know that Denae wants at least twice as many daisies as daffodils in each bouquet, and she has a total of $50 to spend. This means that the number of daisies (x) and daffodils (y) must satisfy certain constraints.
The correct inequality among the constraints for this situation are:
y > 0, since there must be at least one daffodil in each bouquet.
x ≥ 2y, since Denae wants at least twice as many daisies as daffodils in each bouquet.
0.5x + 0.75y ≤ 50, since Denae has a total of $50 to spend and daisies cost $0.50 each and daffodils cost $0.75 each.
Therefore, the correct answers are:
y > 0
x ≥ 2y
0.5x + 0.75y ≤ 50
To know more about inequality
https://brainly.com/question/20383699
#SPJ4
Which situation can be represented by the equation 2x + 150 = 5x
Mary has 5 stamps and buys 150 stamps each week. Nick has no stamps and buys 2 stamps each week. When will Marty have
more stamps than Mary?
Mary has 2 stamps and buys 150 stamps each week. Nick has no stamps and buys 5 stamps each week. When will they have
the same number of stamps?
Mary has 150 stamps and buys 5 stamps each week. Nick has no stamps and buys 2 stamps each week. When will Marty have
more stamps than Mary?
Mary has 150 stamps and buys 2 stamps each week. Nick has no stamps and buys 5 stamps each week. When will they have
the same number of stamps?
Answers
The situation can be represented by the equation 2x + 150 = 5x is"Mary has 2 stamps and buys 150 stamps each week. Nick has no stamps and buys 5 stamps each week. When will they have the same number of stamps?" (option b)
The equation 2x + 150 = 5x means that two expressions, 2x + 150 and 5x, are equal. In other words, whatever value we substitute for x, these two expressions will always have the same value. We can use this equation to solve different situations by finding the value of x that satisfies the equation.
Mary starts with 2 stamps and buys 150 stamps each week, while Nick starts with no stamps and buys 5 stamps each week. To determine when they will have the same number of stamps, we need to use the equation 2x + 150 = 5x. We can rewrite the equation as 150 = 3x, and solve for x by dividing both sides by 3. This gives us x = 50, which means that it will take Mary 50 weeks to have the same number of stamps as Nick.
Hence the correct option is (b).
To know more about equation here
https://brainly.com/question/10413253
#SPJ4
A circle with center O(6, 3) contains the point A(3, -1).
-10
10
OB=
-10
B(3-3)
next
A(3,-1)
Write a subtraction expression for each length OB and AB:
0(6.3)
AB
10
15
need help thanks :)
Answers
In the given circle the formula for subtracting the length of AB is -3-(-14).
What is the circle?A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent.
A circle is also known as the location of points that are evenly spaced apart from the center.
The radius of a circle is measured from the center to the edge.
A car tire, a time-telling wall clock, and lollipops are a few objects in our immediate environment that have a circular form.
So, the measurement of an object's travel distance is the space between two spots.
We must calculate the distance between points A and B using the provided diagram.
The x-coordinate being equal, it follows that:
AB = y2 - y1
AB= -3 - (-14)
AB = 11 units
Therefore, in the given circle the formula for subtracting the length of AB is -3-(-14).
Know more about circle here:
https://brainly.com/question/24375372
#SPJ1
Correct question:
A circle with center O(3,3)O(3,3) contains the point A(-1,14)A(−1,14).
Write a subtraction expression for each length OF AB and ABAB:
In a race, 14 out of the 25 swimmers finished in less than 47 minutes. What percent of swimmers finished the race in less than 47 minutes? Write an equivalent fraction to find the percent.
Answers
We must first convert the given information into an equivalent fraction. The answer is 56%.
What is equivalent fraction?Equivalent fractions have the same value or represent the same portion of a whole even though they may have different numerators and denominators.
To do this, we must multiply both the numerator (14) and denominator (25) by the same number so that the denominator equals 100.
To do this, we must multiply both 14 and 25 by 4.
This gives us 14*4/25*4 = 56/100.
To convert this fraction to a percent, we can simply divide the numerator by the denominator and multiply the result by 100.
Therefore, 56/100 * 100 = 56%.
This result can also be found by setting up a proportion. We can set up the proportion as follows:
14/25 = x/100.
To solve for x, we must multiply both sides by 100. This gives us 14*100/25 = x.
Hence, x = 56. Therefore, 56% of swimmers finished the race in less than 47 minutes.
For more questions related to proportion
https://brainly.com/question/1496357
#SPJ1
The average home size in the United States in 1970 was 1,400 square feet. The average size was about (5)(3) times greater in 2004. What was the average home size in 2004?
Answers
The average home size in the United States in 2004 was 7,000 square feet.
To solve this problem, we can use the concept of ratios. Let x be the average home size in 2004.
The concept of ratios involves comparing two or more quantities by expressing them as a fraction or a division of one quantity by another. It is used to determine how much larger or smaller one quantity is than another, and is often used in mathematics, science, finance, and other fields
We know that the average home size in 1970 was 1,400 square feet, and that the average size in 2004 was about 5 times greater. This can be expressed as:
x = 5(1,400)
Simplifying the right side of the equation, we get
x = 7,000 square feet
Learn more about ratio here
brainly.com/question/13419413
#SPJ4
In circle S with � ∠ � � � = 60 m∠RST=60 and � � = 4 RS=4 units find area of sector RST. Round to the nearest hundredth
Answers
If the measure of angle RST is 60°, and RS=4 units, then the area of sector RST is 8.374 square units.
In geometry, a "Sector" of a circle is defined as the portion of circle enclosed by two radii and the arc between them. It can be thought of as a slice or a wedge cut out of a circle.
To find the area of the "sector-RST" in circle centered at "S", we use the formula for area of a sector of a circle, which is :
⇒ Area of sector = (θ/360) × π × r²,
where θ = central angle of sector in degrees, π = 3.14159, and r = radius of circle,
In this case, we are given that m∠RST = 60 degrees and RS = 4 units. Since RS is the radius of the circle centered at "S", we use RS = r,
Substituting the values, θ = 60 degrees, r = RS = 4 units,
We get,
⇒ Area of sector RST = (60/360) × 3.14 × (4)²,
= (1/6) × 3.14 × 16,
= 8.374 square units,
Therefore, the required area of sector is 8.374 square units.
Learn more about Sector here
https://brainly.com/question/29055300
#SPJ4
The given question is incomplete, the complete question is
In circle centered at "S", R and T are the points on the circumference with m∠RST = 60 and RS=4 units .Find area of sector RST.
PLEASE ANSWER ASAP
1. How many atoms are present in 8.500 mole of chlorine atoms?
2. Determine the mass (g) of 15.50 mole of oxygen.
3. Determine the number of moles of helium in 1.953 x 108 g of helium.
4. Calculate the number of atoms in 147.82 g of sulfur.
5. Determine the molar mass of Co.
6. Determine the formula mass of Ca3(PO4)2.
IT WOULD BE HELPFUL
Answers
The number of atoms in 8.500 moles of chlorine atoms can be calculated using Avogadro's number, which is approximately 6.022 × 10²³ atoms/mole.
So, the number of atoms in 8.500 moles of chlorine atoms would be:
8.500 moles × 6.022 × 10²³ atoms/mole = 5.12 × 10²⁴ atoms of chlorine.
The molar mass of oxygen is approximately 16.00 g/mol. Therefore, the mass of 15.50 moles of oxygen would be:
15.50 moles × 16.00 g/mol = 248 g of oxygen.
The molar mass of helium is approximately 4.00 g/mol. Therefore, the number of moles of helium in 1.953 x 10^8 g of helium would be:
1.953 x 10^8 g / 4.00 g/mol = 4.88 x 10⁷ moles of helium.
The molar mass of sulfur is approximately 32.06 g/mol. Therefore, the number of moles of sulfur in 147.82 g of sulfur would be:
147.82 g / 32.06 g/mol ≈ 4.61 moles of sulfur.
The molar mass of cobalt (Co) is approximately 58.93 g/mol.
The formula mass of Ca₃(PO₄)₂ can be calculated by adding the molar masses of all the individual atoms in the formula.
The molar mass of calcium (Ca) is approximately 40.08 g/mol, the molar mass of phosphorus (P) is approximately 30.97 g/mol, and the molar mass of oxygen (O) is approximately 16.00 g/mol.
Therefore, the formula mass of Ca₃(PO₄)₂ would be:
3 × 40.08 g/mol (for Ca) + 2 × (2 × 30.97 g/mol + 4 × 16.00 g/mol) (for P and O) = 310.17 g/mol.
Learn more about molar mass here: https://brainly.com/question/21334167
#SPJ1
how to find ratio of a area of 1125 square feet and 45 square feet
please do step by step on how you get it
Answers
Answer:
25:1
Step-by-step explanation:
To find the ratio of the areas of two figures, you need to divide the larger area by the smaller area. In this case, the larger area is 1125 square feet, and the smaller area is 45 square feet.
So the ratio of the larger area to the smaller area is:
1125 sq ft / 45 sq ft
To simplify the ratio, you can divide both numbers by their greatest common factor, which in this case is 45.
1125 sq ft / 45 sq ft = 25 / 1
Therefore, the ratio of the larger area to the smaller area is 25:1.
Hope this helps!
Need help asap thank you
Answers
The value of the Central angle and Circumscribed angle are respectively: 97° and 83°
How to find the angle in the circle?A circumscribed angle is the angle formed by the intersection of two tangent lines (lines that each touch the circle at exactly one point) to a circle.
The circumscribed angle theorem states that the measure of a circumscribed angle is the supplement of the central angle that intercepts the same arc (the supplement of an angle is the difference between 180° and the angle). Because a central angle has the same degree measure as its intercepted arc, it follows from the circumscribed angle theorem that the measure of a circumscribed angle is the supplement of the degree measure of the intercepted arc.
The formula for the circumscribed angle theorem is:
θ = 180° - C
Where:
θ is the circumscribed angle
C is the central angle
Thus:
3x + 11 = 180 - (5x - 23)
3x + 11 = 180 - 5x + 23
3x + 11 = 203 - 5x
8x = 203 - 11
8x = 192
x = 192/8
x = 24
Thus:
Central angle = 5(24) - 23
= 120 - 23
= 97°
Circumscribed angle = 180 - 97 = 83°
Read more about Circumscribed angles at: https://brainly.com/question/20274496
#SPJ1
a survey conducted among students in the school cafeteria asked a set of questions listed below. which survey question would produce a qualitative response?
Answers
The survey question that would produce a qualitative response is one that asks about qualities or attributes.
A qualitative response is a non-numeric response that describes the characteristics or qualities of something.
In a survey, a qualitative question typically asks about opinions.
Attitudes, behaviors, or other non-measurable factors.
Out of the following survey questions, the one that would produce a qualitative response is:
"What is your favorite food in the cafeteria?"
This question is asking for a subjective opinion, which is a qualitative response. The response could vary from student to student and cannot be quantified numerically.
A qualitative response is a response that is based on qualities or attributes, rather than numerical or measurable data.
Out of the listed questions, the survey question that would produce a qualitative response is:
What is your favorite color?
This question asks about a personal preference, which cannot be measured numerically. The response would be a word or phrase indicating the color, which is a qualitative attribute.
For similar questions on qualitative
https://brainly.com/question/28136063
#SPJ11
is this correct 2(n + 6) + (n + 6)
2n + 2 + n + 4
Answers
Answer: False
Step-by-step explanation:
If the question is relating to equality, your answer currently is incorrect.
If we solve both sides of the ( + ) we have :
2(n + 6) = 2n + 12
2n + 12 + n + 6 = 3n + 18
Therefore, the two that are equal are 2(n + 6) + (n + 6) and 3n + 18.
There is also another set of expressions that are equal:
2n + 2 + n + 4 = 3n + 6
please help me with this
Answers
The point (1,2) is the point of intersection of the two lines.
How to verify the pointIt should be noted that to verify if the point (1,2) is a solution to the system of linear equations, we need to substitute x=1 and y=2 into both equations and check if they are true.
The equation is true, so (1,2) is a solution to the first equation.
Substituting x=1 and y=2 into the second equation also makes the equation true.
Therefore, the point (1,2) is the point of intersection of the two lines.
Learn more about equations on;
https://brainly.com/question/22688504
#SPJ1
sharon is a good student who enjoys statistics. she sets a goal for herself to do well enough compared to her peers so that her standardized score on her statistics final is equal to her percentile rank (written as a decimal) among her classmates. scores on the statistics final are normally distributed. what goal did she set for herself?
Answers
Sharon's desired percentile rank of 0.78.
To determine the goal Sharon set for herself, we need to understand the relationship between standardized scores and percentile ranks.
In a standardized test, such as Sharon's Statistics final, the standardized score represents how well a student performed relative to the average score of the test-takers.
The percentile rank, on the other hand, indicates the percentage of test-takers that scored below a particular student.
In Sharon's case, she wants her standardized score to be equal to her percentile rank.
Therefore, her goal is to achieve a standardized score of 0.78 (written as a decimal) on her Statistics final.
This means she aims to score better than approximately 78% of her classmates, as indicated by her desired percentile rank of 0.78.
Hence her desired percentile rank of 0.78.
Learn more about Statistics click;
https://brainly.com/question/31538429
#SPJ12
Why is brainly taking centuries for searches? This is a real pain, each one I have to wait a minimum of 3 minutes for answers to show.
Answers
High Traffic, Large Database, Internet Connectivity are the reason for taking centuries for searches.
What is the centuries for searches?High Traffic: If there are many users accessing the site simultaneously, the servers might get overloaded, leading to slow searches.
Large Database: Brainly has a vast database of questions and answers, which could slow down searches if the search algorithm isn't optimized.
Internet Connectivity: Slow internet connection on your side could result in slow searches
If you're experiencing slow searches, you can try the following: Check your internet connection and make sure it's stable and fast. Try clearing your browser cache and cookies and restart your browser.
If you're using an outdated browser, try updating it to the latest version. Consider reaching out to Brainly's customer support team to report the issue and seek assistance.
Therefore, High Traffic, Large Database, Internet Connectivity are the reason for taking centuries for searches.
Learn more about searches here:
https://brainly.com/question/29610536
#SPJ1
Mr. Lewis and Ms. Yonkers are grading 87 papers for a math class. Mr. Lewis has already grade 32, but Ms. Yonkers has only graded 16. Write an equation with the variable (p) and show your work to determine how many papers they have left to grade.
Answers
The number of papers they have left to grade is 39.
What is Subtraction?
Subtraction is a mathematical operation that involves taking away or removing a certain number of items or quantity from a larger group. It is the inverse of addition and is denoted by the minus sign (-).
Let p be the number of papers they have left to grade.
The total number of papers is 87, and Mr. Lewis has already graded 32 and Ms. Yonkers has graded 16, so the number of papers they have left to grade is:
p = 87 - 32 - 16
p = 39
Therefore, they have 39 papers left to grade.
To learn more about Subtraction visit the link:
https://brainly.com/question/13378503
#SPJ1
How do you interpret two-way tables?
Answers
Overall, interpreting a two-way table requires careful attention to detail and the ability to think critically about the data. It is important to look beyond the numbers themselves and try to understand what they are telling you about the relationship between the variables.
What are the Two-way tables?
Two-way tables, also known as contingency tables, are a way to display the frequency distribution of two categorical variables. The variables are usually listed as rows and columns, with the frequency of each combination of values shown in the cells of the table.
Interpreting a two-way table involves looking at the relationships between the variables and identifying patterns in the data. Here are some steps you can follow to interpret a two-way table:
Look at the marginal frequencies: These are the totals for each row and column. They give you an idea of the distribution of each variable individually.
Look at the conditional frequencies: These are the frequencies of each combination of values, divided by the marginal frequency of one of the variables.
They tell you the proportion of one variable that has a certain value, given that the other variable has a certain value.
Look for patterns: Look for rows or columns with high or low frequencies, and try to identify any trends or patterns in the data.
Are there any combinations of values that are more or less common than others? Are there any values that seem to be associated with each other?
Draw conclusions: Based on the patterns you observe, draw conclusions about the relationship between the two variables. Do they appear to be independent, or is there evidence of a causal relationship?
hence, Overall, interpreting a two-way table requires careful attention to detail and the ability to think critically about the data. It is important to look beyond the numbers themselves and try to understand what they are telling you about the relationship between the variables.
To learn more about the Two-way tables visit:
https://brainly.com/question/29257874
#SPJ1
1. Find the height of the parabolic balloon arch for the prom when the position of the bottom anchors are at x = 3 feet and x = 7 feet.
Answers
The height of the parabolic balloon arch for the prom is 12.25 feet.
Using these assumptions, we can find the equation of the parabola that the arch follows as x = a(y-k)² + h, where (h,k) is the vertex and a is a constant that determines the shape of the parabola. We can find the value of a by using one of the points that the arch passes through, say (3,0):
3 = a(0-k)² + h h = 3 - a(k²)
Similarly, using the other point that the arch passes through, say (7,0):
7 = a(0-k)² + h h = 7 - a(k²)
Equating the expressions for h, we get:
3 - a(k²) = 7 - a(k²) a = -1/4
Substituting this value of a into one of the equations for h, say h = 7 - a(k²), we get:
h = 7 + 1/4(k²)
So the vertex of the parabola is at (h,k) = (7,0), and the equation of the parabola is x = -1/4(y² - 28y + 49).
To find the height of the arch, we need to find the y-coordinate of the vertex, which is k = 0. So the height of the arch is given by the distance between the vertex and the lowest point of the arch, which is the x-intercept of the parabola. To find the x-intercept, we set y = 0 in the equation of the parabola:
x = -1/4(0² - 28(0) + 49)
x = -1/4(49) = -12.25
However, since we are dealing with a physical object, the height cannot be negative. Therefore, we take the absolute value of the x-intercept, which gives us:
| -12.25 | = 12.25 feet
To know more about height here
https://brainly.com/question/10726356
#SPJ4