Lines m and n are parallel and are intersected by transversal p.
Which angle corresponds with angle 2?
3
5
6
8
Answers
The angle which corresponds with angle 2 given that; lines m and n are parallel and are intersected by transversal p is; angle 6.
What are corresponding angles?Corresponding angles by definition are any pair of angles each of which happens to be on the same side of one of two lines cut by a transversal and also on the same side of the transversal.
Therefore, it follows from the definition above that the angle which is corresponding to Angle 2 as required in the task content is; angle 6.
This follows from the fact that angles 2 and 6; each happens to be on the same side of one of two lines cut by a transversal and also on the same side of the transversal.
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Related Questions
please help me I’m really stuck on this
Answers
Answer:
x < 1 and x > -4 (more down below)
Step-by-step explanation:
First we have to solve the algebra
|-2x - 3| + 2 < 7
|-2x - 3| < 5
1. -2x - 3 < -5 2. -2x -3 < 5
-2x < -2 -2x < 8
x < 1 x > -4 (switch the expression)
Now... The two answers are x < 1 and x > -4
The interval notation is a number line with circles on the two points (answers)
Sorry I can't exactly explain what that is you might have to search it up, but you need a number line like this, and you need to draw another line above the -5 and 1 with an open circle on -5 and 1
O-----------------------O
<---5, -4, -3, -2, -1, 0, 1, 2-->
For graphing, make a graph with 5 points on each side with 4 quadrants or whatever reasonable size, and draw a vertical line that extends all the way above and below your graph above 1 on line x and a vertical line all the way above and below your graph above above -5 on x, then shade everything in between those two lines.
This helps you to know what value you plug in for X makes the inequality true (shaded region)
What are the domain and range of the function f(x)=3/4x+5?
Answers
Answer:
domain: [tex](-\infty, \infty)[/tex]
range: [tex](-\infty, \infty)[/tex]
Step-by-step explanation:
You can put any real number into [tex]x[/tex] and get any real number out oft the function [tex]f(x)[/tex]
assume that roger federer announces that he will retire from professional tennis 5 years from now. there will be a total of 20 big competitions (grand slams) that will be played during that time and a recent statistical analysis estimated that federer can win each grand slam with probability 0.1. what is the probability that he wins at least 2 grand slams?
Answers
The probability that Roger Federer wins at least 2 Grand Slam titles is 60.82%
Given data:
To calculate the probability that Roger wins at least 2 Grand Slam titles out of the 20 competitions during the 5-year period, we can use the binomial distribution.
The binomial distribution calculates the probability of obtaining a certain number of successes (in this case, Roger winning a Grand Slam) in a fixed number of independent trials (the 20 competitions), given the probability of success in a single trial (0.1).
We need to calculate the probability of Roger winning 2, 3, 4, ..., up to 20 Grand Slam titles and then sum those probabilities to find the overall probability of winning at least 2 titles.
Using a binomial probability formula, the probability of getting exactly k successes in n trials is given by:
[tex]P(X = k) = C(n, k) * p^k * (1 - p)^{(n - k)}[/tex]
Where:
C(n, k) is the binomial coefficient (n choose k)
p is the probability of success in a single trial (0.1)
n is the number of trials (20)
To find the probability of winning at least 2 Grand Slam titles, we calculate the probabilities for k = 2, 3, 4, ..., 20, and sum them up:
P(X ≥ 2) = P(X = 2) + P(X = 3) + ... + P(X = 20)
P(X ≥ 2) = Σ(P(X = k)) from k = 2 to 20
Calculating each individual probability P(X = k) and summing them up can be tedious. However, use complementary probability to simplify the calculation:
P(X ≥ 2) = 1 - P(X = 0) - P(X = 1)
[tex]P(X = 0) = C(20, 0) * 0.1^0 * (1 - 0.1)^{(20 - 0) }[/tex]
[tex]=(1 - 0.1)^{20}[/tex]
= 0.12157
[tex]P(X = 1) = C(20, 1) * 0.1^1 * (1 - 0.1)^{(20 - 1) }[/tex]
[tex]= 20 * 0.1 * (1 - 0.1)^{19 }[/tex]
= 0.27017
P(X ≥ 2) = 1 - 0.1074 - 0.2684
P(X ≥ 2 ) = 0.60826 (approximately)
Hence, the probability that Roger Federer wins at least 2 Grand Slam titles out of the 20 competitions is approximately 0.60826, or 60.82%.
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A solution that is 20% acid and 80% water is mixed with a solution that is 50% acid and water. If twice as much 50% acid solution is used as 20% solution, then what is the ratio of acid to water in the mixture of the solutions?
Answers
Answer:
The ratio of acid to water is 2 to 3 in the mixture of the two solutions
This can be thought of as a chemistry problem or a math problem, but both use practically the same process to find the final answer.
So, let's say 2 liters of 50% acid and 1 liter of 20% acid is mixed.
In total, there is 2*(50%) + 1*(20%) of acid, so there is 1 liter of pure acid in 2 liters of 50% acid, and 0.2 liters of pure acid in 1 liter of 20% acid. This in total is 1.2 liters of acid. The total volume is 2 + 1 liters, which is 3 liters. the percentage can be found by dividing the amount of pure acid by the total volume, so 1.2/3, which equals 0.4, or 40%. The ratio would be 40% to 100-40%, or 40% to 60%, or 2 to 3
Enter all real solutions to $(m-4)^4 = \left(\frac 1{16}\right)^{-1}$.
Answers
The value of m is 8.
What is Exponents and powers?The amount of times a number has been multiplied by itself is shown by its exponent. The result of multiplying 8 by itself n times is represented as follows:
8 x 8 x 8 x 8 x …..n times = [tex]8^n[/tex]
Given:
[tex]$(m-4)^4 = \left(\frac 1{16}\right)^{-1}$.[/tex]
Now, solving for m
[tex](m-4)^4[/tex] = 16
[tex](m-4)^4[/tex] = [tex]4^4[/tex]
Taking the quad root we have
m -4 = 4
m = 4+ 4
m = 8
Hence, the value of m is 8.
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a surgeon developed a new procedure for knee replacement surgery. to study its effectiveness, they recruit patients who need knee replacement surgery and are willing to participate in a blind study. the surgeon randomly assigns each volunteer to receive either the new procedure or the standard procedure. after the surgeon performs the procedure, they monitor each patient to see if one group has better results than the other. what does it mean for this experiment to be blind?
Answers
Answer: The volunteers are unaware of which surgery they receive.
Step-by-step explanation:
Eddie is on holiday in Italy
Eddie has €150 to spend on gifts. He buys 1 pair of sunglasses for €70
3 pairs of shorts for €15 each
He also wants to buy a pair of trainers costing €40
Has Eddie got enough money to buy the trainers?
Answers
Answer:
No
Step-by-step explanation:
Total money = €150
1 pair of sunglasses = €70
3 pairs of shorts = €15 × 3 = €45
then, Total = €70 + €45 + x
€150 = €115 + x
x = €150 - €115
x = €35
Which means Eddie got only €35 left on him which is not enough for him to buy the trainers
please help me with this.
Answers
Answer:
Option A
Step-by-step explanation:
→ Multiply both sides by 2
2s = a + b + c
→ Minus b and c from both sides
2s - b - c = a
Select the ordered pair that is NOT marked on the coordinate plane below.
Answers
Answer: C. (2, 1)
Step-by-step explanation:
The numbers labeled are
(-5, -8)
(-2, 1)
(4, 0)
(2, 9)
Find coordinates by looking at each line. (x, y)
The x-axis is the horizontal line in the middle.
The y-axis is the vertical line going across.
The x-axis always goes first when plotting down coordinates, and y goes second.
So, the one NOT labeled is C (2, 1)
In triangle ABC, m angle A=45 degrees. The altitude divides side AB into two parts of 20 and 21 units. Find BC
Answers
The 20 and 21 unit leg lengths of the right triangles ΔACD and ΔBCD formed by the altitude CD indicates, by using Pythagorean theorem that the length of BC is 29 units
What is a right triangle?A right triangle is a triangle that has two perpendicular sides. The altitude of a triangle is perpendicular to the base of the triangle, forming two right triangles in acute triangle.
Angle ∠A = 45°
The length of the segment the altitude CD divides AB into = 20 and 21 units
Please find attached a drawing created using MS Word based on the question parameters.
[tex]tan(\angle A) = \dfrac{CD}{AD}[/tex]
AD = 20
Therefore;
[tex]tan(45^{\circ}) = \dfrac{CD}{20}[/tex]
CD = 20 × tan(45) = 20
Pythagorean theorem applied to right triangle ΔCBD, indicates that;
[tex]\overline{BC}^2[/tex] = [tex]\overline{CD}^2[/tex] + [tex]\overline{DB}^2[/tex]
DB = 21 units, which gives;
[tex]\overline{BC}^2[/tex] = 20² + 21² = 841
BC = √(841) = 29
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Determine which of the lines, if any, are parallel or perpendicular. explain. line a passes through (2, 10) and (4, 13). line b passes through (4, 9) and (6, 12) . line c passes through (2, 10) and (4, 9) .
Answers
Line a and line b are parallel to each other, and c is neither parallel nor perpendicular.
Line a passes through (2, 10) and (4, 13).
Line b passes through (4, 9) and (6, 12).
Line c passes through (2, 10) and (4, 9).
If a line passes through two points, then the slope of the line is
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Line a passes through (2, 10) and (4, 13). So, the slope of this line is
[tex]m_{a}=\frac{13-10}{4-2}=\frac{3}{2}[/tex]
Line b passes through (4, 9) and (6, 12). So, the slope of this line is
[tex]m_{b}=\frac{12-9}{6-4}=\frac{3}{2}[/tex]
Line c passes through (2, 10) and (4,9). So, the slope of this line is
[tex]m_{c}=\frac{9-10}{4-2}=\frac{1}{2}[/tex]
The product of slopes of perpendicular lines is -1.
and if the slope of 2 lines is equal then those lines are parallel
so, line a and line b are parallel to each other, and c is neither parallel nor perpendicular.
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URGENT
We're doing some experiments to work out how fast our agents can accelerate
Using v = u + at, work out the acceleration when v = 40, u = 20 and t = 10
Answers
First rearrange the equation so that a=(v-u)/t
The sum of the first three terms of a G.p is half its sum to infinity.find the positive common ratio
Answers
Let the first term be 'a' and common ratio be 'r'.
a + ar + ar² = a/2(1 - r)
=> r² + r + 1 = 1/2(1 - r)
=> r² + r + 1 - r³ - r² - r = 1/2
=> r³ = 1/2
=> r = (½)^⅓
:-)
Find the equation of the line shown in the pic (please help)
Answers
y intercept is 2
y=-1/4 x +2
Answer:
-1/4 * x + 2
Step-by-step explanation:
first figure out the slope. You can easily read the point where the graph is crossing the y axis. From there, more right and read how much the graph goes up wor down. You see the graph goes down, so you know the slope must be a negative value. To get the full value of the slope, you need to work out how much the graph goes down if you go 1 right. So when you move 1 right from the point 2 on the y axis, you can't easily read how much it went down. But you can see that the graph passes the pont of x = 4 and y = 1. So it went 4 right and 1 down. To only got 1 down you divide y/x -> 1/4
So the slope is -1/4
and because the graph hits the y axis at 2 and not at 0, you need to add +2 to the equation.
Which of the following shows an example of two irrational numbers being multiplied to get a rational number?
Answers
Answer:
[tex]\sqrt{2}[/tex] × [tex]\sqrt{8}[/tex] And [tex]\sqrt{2}[/tex] ×[tex]\sqrt{3}[/tex]
Step-by-step explanation:
3x9 are both whole numbers and 0x[tex]\sqrt{5}[/tex] has only one irrational number
Answer:
C) √2 × √8---------------------------
Option A3 × 9 = 27No, all three numbers are rationalOption B0 × √5 = 0No, one irrational number multipliedOption C√2 × √8 = √16 = 4Yes, two irrational numbers multiplied to get a rational numberOption D√2 × √3 = √6No, √6 is still irrational numberwrite down the value of 9 and a half?
Answers
The value of 9 and a half will be 9 1/2.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
In this case, addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.
Here, we want to find the value of 9 and half. This will be:
= 9 + 1/2
= 9 1/2
The value is 9 1/2.
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18) 7-(-1)²-(-9)
Whoever explains the best I will give Brainlyist or whatever it’s called
Answers
ANSWER: 137
Step-by-step explanation:
This can be rewritten as:
18 × 7 - (-1)² -(-9)
Using BODMAS
firstly open the brackets using the negative sign, we have;
18 × 7 +1² + 9
Now you can apply your BODMAS.
126 + 1 + 9
ANS = 137
which shape has a larger area: a rectangle that is 7 inches by 3/4 inch, or a square length 2 1/2 inches? Show your reasoning
Answers
The area of the of the rectangle is 5.25square inch and the area of the square is 6.25square inch. Therefore the square has larger area.
What is area of plane shape?The area of a shape is the “space enclosed within the perimeter or the boundary” of the given shape. We calculate the area for different shapes using formulas.
Area formula in rectangle is L× W and in square is L^2. This happened in square becos square has all it's sides equal. Where L and W are length and Width respectively
The area of rectangle with dimension 7inches by 3/4 inch is 7×3/4= 5.25 square inches
The area of the square with dimension 2 1/2 inches is( 5/2)^2= 25/4= 6.25m
Therefore the square has larger area
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please help, I will really appricaite it :)
Answers
Step-by-step explanation:
uploading the picture is an excellent way to make sure we get the original problem definition.
but I just answered this (even without the picture). so, you need it again ?
I NEED SOME HELP URGENT
solve for the missin lengths in the sets of sumilar figures below.
Answers
The Missing Lengths are AB = 10 units, OP = 10 units and f = 4 units
Similar triangles:Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.
When two triangles ΔABC and ΔXYZ are similar then
AB/XY = BC/YZ = AC/XZ
Here we have
ΔABC and ΔOPQ which are similar and right-angled triangles
As we know in a right-angled triangle
=> Hyp² = side² + side²
From ΔABC,
AB² = AC² + BC²
=> AB² = 6² + 4²
=> AB² = 100 = 10²
=> AB = 10 units
Since ΔABC and ΔOPQ are similar
=> AB/OP = BC/OQ = AC/PQ
=> 10/OP = 4/ f = 6/ 6
Take 10/OP = 6/ 6
=> 6(10) = 6(OP)
=> OP = 10 units
4/ f = 6/ 6
=> f = 4 units
Therefore,
The Missing Lengths are AB = 10 units, OP = 10 units and f = 4 units
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9,4,23,7,18,16,14.Work out the range of the numbers in the list.
Answers
Step-by-step explanation:
Range = Highest number - Lowest number
= 23 - 4
= 19
There are 10 students in a class: 6 boys and 4 girls. If the teachers chooses 3 at random, what is the probability that everyone in the group is a girl
Answers
There are 10 students in a class: 6 boys and 4 girls. If the teachers chooses 3 at random, then the probability that everyone in the group is a girl is 1/30
It is given that,
Total number of students = 10
Number of boys = 6
Number of girls = 4
Total number of ways to select 3 students from 10 students.
10C3= 10!/ 3!7!= 120
Total number of ways to select 3 students from 4 girls
4C3 = 4!/ 3!=4
The probability that everyone in the group is a girls is
P = 4/120
= 1/30
Hence , the probability that everyone in the group is a girl is 1/30
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This shows a diagram.
What is the value of x?
Answers
Step-by-step explanation:
[tex](3x + 2) + x = 180 \\ 3x + x = 180 - 2 \\ 4x = 178 \\ x = 44.5[/tex]
Answer:
x° = 44.5°
Step-by-step explanation:
x° and (3x + 2)° are supplementary angles, which means they add up to 180°.
Equation: x + 3x + 2 = 180
Step 1: Combine like terms.
[tex]\implies 4x + 2 = 180[/tex]
Step 2: Subtract 2 from both sides.
[tex]\implies 4x + 2 - 2 = 180 - 2[/tex]
[tex]\implies 4x = 178[/tex]
Step 3: Divide both sides by 4.
[tex]\implies \dfrac{4x}{4}=\dfrac{178}{4}[/tex]
[tex]\implies x = 44.5[/tex]
Step 4: Substitute 44.5 as the value of x in (3x + 2) to find its measure.
[tex]\implies 3(44.5)+2[/tex]
[tex]\implies 135.5[/tex]
Therefore, the measure of x° is 44.5°, and the measure of (3x + 2)° is 135.5°. Together, they add up to 180°.
X+3y+z=-8
2x+y-6z+20
x-2y+z=-13
Answers
The solution for the system of equations -
x+3y+z=-8
2x+y-6z=20
x-2y+z=-13
is x = 5.875, y = 1, z = 16.875
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line in point slope form can be also written as-
[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
We have the following set of equations -
x+3y+z=-8 ..[1]
2x+y-6z=20 ..[2]
x-2y+z=-13 ..[3]
We can write eq [3] as -
z = - 13 - x + 2y
So, eq [1] and [2], will become -
x + 3y + (-13 - x + 2y) = -8
x + 3y - 13 - x + 2y = -8
5y = - 8 + 13
5y = 5
y = 1 ..Eq[4]
AND
2x + y - 6z = 20
2x + y - 6(- 13 - x + 2y) = 20
2x + y + 78 + 6x - 12y = 20
2x + 1 + 78 + 6x - 12 = 20
8x = 47
x = 5.875 ..Eq[5]
Now -
x - 2y + z = -13
5.875 - 2 + z = - 13
z = 16.875
Therefore, the solution for the system of equations -
x+3y+z=-8
2x+y-6z=20
x-2y+z=-13
is x = 5.875, y = 1, z = 16.875.
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a cattle rancher wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle (see the figure below). there are 510 feet of fencing available to complete the job. what is the largest possible total area of the four pens?
Answers
The largest area of the rectangle is 6502.5 square feet.
Given that,
Using fence parallel to one of the rectangle's sides, a cattle rancher wants to surround a rectangular area and divide it into four pens (see the figure below). To finish the task, 510 feet of fencing are available.
We have to find what could the four pens' combined total area be.
We know that,
The rectangular shape's length is l and its width is b.
Total fencing= 2l + 5b=510 feet
2l +5b =510 feet
We can write as,
l=1/2(510-5b)
Total area of the rectangle is length into breath
A(b) = l × b
A(b) = 1/2(510-5b)×b
A(b)= 1/2(510b -5b²)
For maximum area
A'(b)=0
1/2(510b -5(2b))=0
b=51
We get l as
l = 1/2(510-5b)
l = 1/2(510-5(51))
l = 127.5
Total area of the rectangle is 127.5 × 51
Total area of the rectangle is 6502.5 square feet.
Therefore, The largest area of the rectangle is 6502.5 square feet.
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A carpet installer measures three rectangular bedrooms for new carpeting how much carpet is needed for the three bedrooms bedroom a 3.1 m x 3.1 m bedroom be 2.9 m x 3.2 m bedroom c2.5 m x 3.4 m
Answers
The 27.4 m² of carpet is needed for three bedrooms.
Firstly we will calculate the area of each room.
Area of bedroom a = 3.1 × 3.1
Area of bedroom a = 9.61 m²
Area of bedroom b = 2.9 × 3.2
Performing multiplication on Right Hand Side of the equation
Area of bedroom b = 9.29 m²
Area of bedroom c = 2.5 × 3.4
Area of bedroom c = 8.5 m²
Total area of all the rooms = 9.61 + 9.29 + 8.5
Performing addition on Right Hand Side of the equation
Total area of all the rooms = 27.4 m²
Hence, 27.4 m² carpet is required for three bedrooms.
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Plot the locus points for x = y
Answers
The the locus of the equation y = x is a straight line. The slope of the linear function → y = x is [m] = 1 and the [y] intercept is at [c] = 0.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given is the function -
x = y
We have the function -
y = x
Now, we can define locus as -
A curve or other figure formed by all the points satisfying a particular equation of the relation between coordinates, or by a point, line, or surface moving according to mathematically defined conditions.
This equation -
y = x
is a straight line.
Refer to the graph attached.
The slope of the line is [m] = 1
The [y] intercept is at [c] = 0
Therefore, the the locus of the equation y = x is a straight line. The slope of the linear function → y = x is [m] = 1 and the [y] intercept is at [c] = 0.
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Which is not true about a direct porprtion
Answers
The equation of the line in slope - intercept form will be -
y = (4/5)x + 5
Writ the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
At [c] = 0 -
y = mx
We have a directly proportional relation.
The general equation of a straight line is -
[y] = [m]x + [c]
At [c] = 0, y = mx
m = y/x
where [m] acts as a constant of proportionality.
So -
y = mx : represents direct proportionality between [y] and [x]. Its graph is a straight line.
Therefore, y = mx : represents direct proportionality between [y] and [x]. Its graph is a straight line.
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a croissant shop has plain croissants, cherry croissants, chocolate croissants, almond croissants, apple croissants, and broccoli croissants. how many ways are there to choose ) two dozen croissants with at least two of each kind?
Answers
There are 6188 ways are there to choose two dozen croissants with at least two of each kind.
A combination is the combination of two or more distinct things. Although it is not necessary to combine things in pairs, the term "combining" comes from the Latin word for "joining together two by two."Combination repetition is permitted.
There are six different varieties of croissants (n = 6), and we must select two dozen croissants (r = 12) with at least two of each type.
In combination, The order does not matter and repetition is allowed.
thus, according to combination,
[tex]C( n+ r - 1,r) = \frac{(n + r - 1 )!}{r! (n-1)!} \\\\C( 6+ 12 - 1,12) = \frac{(6 + 12 - 1 )!}{12! (6-1)!} \\\\ = \frac{17!}{12!5!} \\= 6188[/tex]
thus, there are 6188 ways possible to choose two dozen croissants with at least two of each kind.
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Tickets for the school play sell for $4 each. Which graph shows the relationship between the number of tickets s
(x) and the total income from the tickets (y)?
14-
12
Dollars
10
8
6
4
2
14
42
12
SH
4 6
8 10 12 14 X
Tickets
Answers
The graph of (y = 4x), which depicts the relationship between the quantity of tickets sold (x) and the sum of the proceeds from the sales (y), can be drawn by first formulating the linear equation and then using the transformation.
Which is the function's graph?
We have a piecewise function right here:
If x > 6, f(x) = 0.5*x - 2.
If x > 6, f(x) = -x - 1
Given:
Each ticket for the school play is $4.
There have been 'x' tickets sold in total.
The tickets generated 'y' in total revenue.
The graph showing the relationship between the quantity of tickets sold (x) and the sum of the ticket sales (y) can be drawn using the procedures below:
Form the linear equation in two variables as a first step.
y = 4x
The total revenue from the tickets is shown in the equation above.
Draw the graph of (y = x) in step two.
Step 3: In the graph of (y = x), multiply the x-axis by 4 units. The graph that is produced is (y = 4x).
You may find the graph for (y = 4x) below.
If you want to learn more about piecewise functions:
brainly.com/question/3628123
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