In a set of three lines, a pair of parallel lines is intersected by a transversal. The intersection forms eight special angles. Two of the special angles, A and B, are corresponding angles.
For the set of parallel lines intersected by a transversal, A=4x and B=-5(x-18).
Part A: Write an equation to represent the corresponding relationship betweenA andB.
Part B: Use the equation to find the measures of A and B.
Answer:
Part A: 4x = -5(x-18)
Part B: A and B both = 40 degrees
Step-by-step explanation:
Ok, corresponding angles are in the same position on the two parallel lines cut by the transversal. And they are equal in measure. So, upper right = upper right.
So A = B
4x = -5(x -18)
4x = -5x + 90
9x = 90
x = 10
Angle A = 4x = 40 degrees, which means angle B is also 40, but let's show the work:
Angle B = -5(x - 18) = -50 + 90 = 40
g During winter, red foxes hunt small rodents by jumping into thick snow cover, without any visual clue. Researchers examined the compass direction of hundreds of such jumps. They found that 73% of jumps in the northeast direction were successful, compared with 60% of jumps in the southwest direction and only 18% of jumps in all other directions. True or False: Jumping direction and jump outcome are independent.
Answer: False
Step-by-step explanation:
Events can be classed as being dependent or independent depending on whether the outcome of a certain event affects the outcome of another. In the scenario above, the success rate of jumps in the Northeast direction is higher than in the southwest direction and even much than in other directions. With these uneven rate of success, the probability that a fox will have a successful jump will depend on the direction in which the fox is jumping. With an high expected success probability in the Northeast and southwest than in other directions
Branliest to correct answer explain how you got your answer please
WILL GIVE BRAINLIEST!!
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:
f(m) = 5(1.07)m
Part A: When the marine biologist concluded her study, the length of the fish was approximately 9.19 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)
Part C: What is the average rate of change of the function f(m) from m = 1 to m = 9, and what does it represent? (4 points)
Step-by-step explanation:
The original function is f(m) = 5(1.07)^m, with the m as an exponent
part A) if the final length is 9.19, we can set f(m) = 9.19 and solve for m
plugging it into a calculator, I get m = ~8.99, so a bit less than 9. therefore, a reasonable domain might be all the m values 9 or below, or m ≤ 9
part B) the y-intercept of a function is the value of the independent variable when the dependent variable = 0. the two variables in your problem are height and number of months - which one do you think is the independent one, and which one is dependent? then re-interpret "value of the independent variable when the dependent variable = 0" in terms of the actual quantities that the variables represent
part C) average rate of change from m = 1 to m = 9
f(9)−f(1)9−1
evaluate, and think about what that represents in terms of height and number of months
Please help ill mark brainliest if correct
I attached a photo of the problem
Answer:
12.8
Step-by-step explanation:
imagine a right triangle in the middle,
base: 16 ÷ 2 = 8 cm, height: 10 cm, side: s
10² + 8² = s²
=> s = √(10² + 8²)
=> s = √(100 + 64)
=> s = √164
=> s ≈ 12.8
I need help with this problem
1: yes
2:C
3:D
Step-by-step explanation:
a number is missing in no.3
the ans in 3 is -1,0,5,1,5,6
Need answer asap, correct answer will get brainliest.
Answer:
answer option number 4
Step-by-step explanation:
Answer:
p(2,-4) q(3,-1) r(4,-4)
Step-by-step explanation: Reflecting across the y axis changes the x coordinates.
In the late 2000's sales of SUVs decreased due to higher gas prices and improved alternative vehicles. A car dealer is interested whether it takes more days to sell SUV's vs. small cars. He gathers data from a sample of the most recent couple of months of sales and calculates that the he sold 18 SUV's with an average number of days to sale of 95 and a standard deviation of 32 days. For small cars, he sold 38 of them in an average of 48 days with a standard deviation of 24 days. The dealer wants to estimate how much longer it takes to sell an SUV vs. a small car by constructing a 95% confidence interval. 1. The facts of this problem are:
Answer:
1. The facts are;
[tex]\overline x _1[/tex] = 95 days
s₁ = 32 days
n₁ = 18 SUV's
[tex]\overline x _2[/tex] = 48 days
n₂ = 38 small cars
s₂ = 24 days
The confidence level = 95%
The confidence interval is (29.55, 64.45)
Step-by-step explanation:
The facts of the problem are;
The number of SUV's he sold, n₁ = 18 SUV's
The average number it took to sell the 18 SUV's, [tex]\overline x _1[/tex] = 95 days
The standard deviation of the time it took to sell the 18 SUV's, s₁ = 32 days
The number of small cars he sold, n₂ = 38 small cars
The average number it took to sell the 38 small cars, [tex]\overline x _2[/tex] = 48 days
The standard deviation of the time it took to sell the 38 small cars, s₂ = 24 days
The 95% confidence interval is given as follows;
Using a graphing calculator, we get, the critical-t, [tex]t_c[/tex] = 2.055529
[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) \pm t_{c} \cdot\sqrt{\dfrac{s _{1}^{2}}{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}[/tex]
[tex]\left (95-48 \right ) \pm 2.055529 \times \sqrt{\dfrac{32^{2}}{18}+\dfrac{24^{2}}{38}}[/tex]
We get C.I. = 29.55259 < μ₁ - μ₂ < 64.44741
∴ C.I. ≈ 29.55 < μ₁ - μ₂ < 64.45
The quadrilateral has the following side lengths: AB = 11, BC =7, CD = 9 and DA = 3. The angles at points A and C are right angles. What is the area of the quadrilateral?
Answer:
C
Step-by-step explanation:
We can calculate the area of triangles ABD and DBC, and then add them together to get the area of the whole quadrilateral.
[tex]A = \frac{11 \times 3 + 7 \times 9}{2} = \frac{33 + 63}{2} = \frac{96}{2} = 48[/tex]
What is the measure of m?
12
4.
n
m
m = [?]
Please help!
I think the answer to m is 8
Easy easy easy point easy please explain and make it quick as possible
Answer:
--
Step-by-step explanation:
so basically when we write all three of the expressions in one fraction we get the same answer for all three multiplications.
a. (3/4)*7=(3*7)/4
b. 7*(3/4)=(7*3)/4
c. 3*(7/4)=(3*7)/4
when we change the place of the values that are being multiplied the value of the multiplication does not change, that's why they will be have the same answer and when we multiply all the operations, we get the same value as the answer.
Answer:
Step-by-step explanation:
so basically when we write all three of the expressions in one fraction we get the same answer for all three multiplications.a. (3/4)*7=(3*7)/4b. 7*(3/4)=(7*3)/4c. 3*(7/4)=(3*7)/4when we change the place of the values that are being multiplied the value of the multiplication does not change, that's why they will be have the same answer and when we multiply all the operations, we get the same value as the answer.
please help fast!!!! trig/ geometry
Answer:
b = 5.7
A = 51.1°
B = 38.9°
Step-by-step explanation:
a = 7
c = 9
✔️Find b using Pythagorean theorem:
b = √(9² - 7²) ≈ 5.7
✔️Find A using trigonometric function:
Reference angle = A
Opposite = a = 7
Hypotenuse = c = 9
Apply SOH:
[tex] sin(A) = \frac{Opp}{Hyp} [/tex]
[tex] sin(A) = \frac{7}{9} [/tex]
[tex] A = sin^{-1}(\frac{7}{9}) [/tex]
A = 51.0575587° = 51.1°
✔️B = 180 - (90 + 51.1) (sum of triangles)
B = 38.9°
Terrell built a model of an airplane. The
length of one wing in the model is 4 inches
long. The scale of the model is 1 inch =
17.5 meters. Find the length of the actual
wing of the airplane.
Answer: 70 m
Step-by-step explanation: 4 inch 4·17.5 m = 70 m
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
Vertical/ x = 25.
Step-by-step explanation:
Vertical angles are self-explanatory; vertical angles are angles that are vertical from each other.
Vertical angles are also congruent (equal), meaning that both angles equal 75°.
4x - 25 = 75.
To solve this expression, we must first add 25 to 75. This is because there is a subtraction sign in front of 25, so we must do the opposite.
25 + 75 = 100
Lastly, divide 100 from 4.
4x = 100
100 / 4 = 25
x = 25
The dot plots show the age of different players on two different local soccer teams.
Team A
Team B
+
+
+
4
20
+
29
23
20
24
21
25
26
27
28
29
30
21
22
23
24
28
30
26
28
27
Age (years)
Age (years)
Which statement is best supported by the information in the table?
A.
The range of the data for Team A is equal to the range of the data for Team B
B.
The mode of the data for Team B is greater than the mode of the data for Team A
C.
The distributions of the data for Team A and Team B are approximately
symmetrical
D.
The median of the data for Team B is less than the median of the data for Team A
Answer:
answer is b...............
ms.vellejo has these cans of soup in her cabinet 1 can of tomato soup 4 cans of chicken soup 3 cans of cheese soup 2 cans of beef soup ms.velljo will randomly choose one can of soup what is the probililty that she will choose a can of beef or chicken soup
Answer:
There is a 40% chance that she will choose a can of beef soup, a 20% chance that she will choose a can of chicken soup, and a combined 60% chance that she will choose a can of beef or chicken soup.
Step-by-step explanation:
Since Ms. Vellejo has 1 can of tomato soup, 4 cans of chicken soup, 3 cans of cheese soup and 2 cans of beef soup in her cabinet, and she will randomly choose one can of soup, to determine what is the probililty that she will choose a can of beef or chicken soup, the following calculation must be performed:
1 + 4 + 3 + 2 = 10
Beef soup = 2 cans = 2/10 = 0.2 = 20%
Chicken soup = 4 cans = 4/10 = 0.4 = 40%
20 + 40 = 60
Thus, there is a 40% chance that she will choose a can of beef soup, a 20% chance that she will choose a can of chicken soup, and a combined 60% chance that she will choose a can of beef or chicken soup.
which value of y makes the inequality 3y^2 + 2(y - 5) >8 true?
A. y = 0
B. y = -1
C. y = -2
D. y = -3
Answer:
-3
Step-by-step explanation:
A scale drawing of a house uses a scale of 0.5 inches = 2 feet what is the length in inches of a line on the scale drawing that represents an actual length of 5 feet.
Answer:
We can use ratios for solve this problem
Cross multiply to get:
Lastly, divide both sides by 2 to isolate x
The line will be 1.25 inches
Hope this helps!
P.s. can I get Brainliest?
Brainiest if your right
i would say the answer is 5/8
because c is 3/4
What is the expression resulting from the following diagram?
3x)
Drop Down 1]
-2x-5
[Drop Down 2]
-4/11
[Drop Down 3]
[Drop Down 1)
Select a Value
Drop Down 2]
Select a Value
Drop Down 3]
Select a Value
Answer:
1. -12x^8
2. 8x^6
3. 16x^11
Step-by-step explanation:
The required values for the given table are -12x⁸, 8x⁶ and 16x¹¹ respectively. To understand the calculations, check below.
Multiplication table:The given table represents the Multiplication table.
To fill the table we need to multiply the corresponding elements of that cell of the table.
For drop-down 1,
[tex](-4x^{11})\times (3x^{-3})=(-4\times 3)x^{11-3}[/tex]
[tex](-4x^{11})\times (3x^{-3})=-12x^{8}[/tex]
For drop-down 2,
[tex](-4x^{11})\times (-2x^{-5})=(-4\times (-2))x^{11-5}[/tex]
[tex](-4x^{11})\times (-2x^{-5})=8x^{6}[/tex]
For drop-down 3,
[tex](-4x^{11})\times (-4)=(-4\times (-4))x^{11}[/tex]
[tex](-4x^{11})\times (-4)=16x^{11}[/tex]
Therefore, the required values are -12x⁸, 8x⁶ and 16x¹¹ respectively.
Find out more about 'Multiplication table' here:
https://brainly.com/question/17211095
Use the Cross Products Property to solve x/35 = 2/7.
Answer:
x = 10
Step-by-step explanation:
Set up:
[tex]\frac{x}{35} = \frac{2}{7} \\[/tex]
Cross multiple:
7x = 70
Divide by 7
x = 10
9x+10y =1 9x-6y=-15 solve using elimination
Answer:
I. x = -1
II. y = 1
Step-by-step explanation:
Given the following algebraic expressions;
9x + 10y = 1 .......equation 1
9x - 6y = -15 ......equation 2
To solve using the elimination method, we would subtract eqn 1 from eqn 2.
(9x - 9x) + (-6y - 10y) = (-15 - 1)
0x - 16y = -16
-16y = -16
16y = 16
y = 16/16
y = 1
Next, we would find the value of x;
From eqn 1;
9x + 10y = 1
Substituting the value of y, we have;
9x + 10(1) = 1
9x + 10 = 1
9x = 1 - 10
9x = -9
x = -9/9
x = -1
PLS HELP FAST NO LINKS
Use the trapezoid to answer the question.
Choose all the attributes that describe the trapezoid.
A. It has four acute angles,
B. It has two obtuse angles.
C. It has no perpendicular sides.
D. It has one pair of parallel sides.
E. It has two pairs of parallel sides.
Answer:
D and B would be your answer
WILL GIVE BRAINLIEST!!
If N is the plane of symmetry, click on the graphic to find the figure that is symmetrical with respect to plane N.
Answer:
thrid one looks right
Step-by-step explanation:
Answer:
The 4th cone
Step-by-step explanation:
Hello, the answer to your question is the 4th cone; the cone with its bottom half facing skyward. If you are familiar with plane symmetry, this question is fairly simple. Since the topmost cone has its bottom half facing downward, it would only be logical to choose the cone that forms mirror halves (superimpose) when paired.
Hope this helps.
Just in case my explanation was too confusing, I'll attach the image of the answer here.
Feel free to give me brainliest.
The population of largemouth bass in a pond is decreasing at the rate of 10% per year. If the population of largemouth bass is 5,000 this year, what will the population be in 16 years?
Answer:
Population after 16 year = 927 people (Approx.)
Step-by-step explanation:
Given:
Decrease rate = 10% per year
Current population = 5,000
Find:
Population after 16 year
Computation:
A = P[1-r]ⁿ
A = 5,000[1-0.1]¹⁶
A = 5,000[0.9]¹⁶
A = 5,000[0.1853]
A = 926.51
Population after 16 year = 927 people (Approx.)
Two planes just took off from St. Louis, MO. The first plane is traveling 3.5 times as fast as the second plane. After Traveling in the same direction for 9.5 hours they are 2375 miles apart What is the average speed of each plane? (Hint Since they are traveling in the same direction, the distance between them will be the difference of their distances.)
Answer:
Speed of first plane is 350 miles per hour
Speed of second plane is 100 miles per hour
Step-by-step explanation:
Let the speed of the second plane be X
Then the speed of the first plane will be 3.5 X
Distance travelled by first plane is 9.5 *X
Distance travelled by second plane is 9.5 * 3.5 X
Difference of distance between the two plane is
[tex]9.5 * 3.5 X - 9.5 *X = 2375\\23.75 X = 2375\\X = 100[/tex]miles per hour
Speed of first plane is 3.5 *100 = 350 miles per hour
Speed of second plane is 100 miles per hour
The building below is shown to scale; for every 1 inch of drawing, it is 5 feet in actual distance. The exterior surface area of the building is 250,000 square feet. What is the exterior surface area of the model?
Answer:
50,000 square inches
Step-by-step explanation:
1:5 ratio so 250,000/5=50,000
What is the measure of DBE?
please help!!!!!!!!!!!!!!!!!!
Answer: C. 1,485 cubic feet
Step-by-step explanation:
Ur welcome :)
Answer:
I am assuming the storage shed is shaped like a rectanglular prism.
v=lwh
v=9*15*11
v=1485 cubic feet
Answer is C.
Write a number with one decimal place, that is bigger than 3
but smaller than 4
Answer:
The answer can be 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, or 3.9.
Step-by-step explanation:
All of those work