Please mark me as brainliest if this answer is correct and nobody tops it.
So, 18.50/2 = 9.25, so you can just multiply 9.25 by 7
9.25 · 7 = 64.75.
So Sammy earned $64.75, hope she buys something nice for herself with it. :)
20 POINTS PLEASE HELP FAST
The answer is -- 29,524
Answer:
29,524
Step-by-step explanation:
This is a geometric sequence; notice how each new term is 3 times the previous term. Thus, a(n) = 1 · 3^(n-1). The 10th term is a(10) = 3^(9) = 19683.
a(4) = 27 (given)
a(5) = 81 (calculated)
a(6) = 243
a(7) = 729
a(8) = 2107
a(9) = 6561
a(10) = 19683 (previously calculated)
So the sum of the first 10 terms is 29,524.
1 + 3 + 9 + 27 + 81 + ... + 6561 + 19683 =
A company offered one-half of its employees a bonus if the production of light bulbs increased by 30%. The other half of the employees was not offered a bonus. As the end of the month, production in the group that did not get the bonus offer increased by a mean of 20 and production in the bonus group increased by a mean of 30.
What is the correct order of steps to determine if the results are significant?
A) Run the experiment many times.
B) Randomly separate the employees’ individual results into two groups.
C) Calculate the probability of a difference of 10.
D )Calculate the difference of the means.
E) Calculate the mean of each group.
Will mark brainiest! Please, and Thank you!
Answer:
B. E. D. A. C
Step-by-step explanation:
The correct order of steps to determine the significance of results is:
B) Randomly separate the employees’ individual results into two groups.
E) Calculate the mean of each group.
D )Calculate the difference of the means.
A) Run the experiment many times.
C) Calculate the probability of a difference of 10.
Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 4 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cups?
Answer:
according to the equation it is 158.330917...
Step-by-step explanation:
put w as 64 and solve for t
Answer: 158.331 minutes.
Step-by-step explanation: To solve this problem we need to replace the given level of water (64 cups) in the equation, and isolate and calculate the time (t):
W=-0.414t+129.549
isolating t:
W-129.549=-0.414t
t=(W-129.549)/-0.414
replacing W=64
t=(64-129.549)/-0.414
t=-65.549/-0.414
t=158.331 minutes.
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = -2 + 3 cos θ
Select one:
a. No symmetry
b. y-axis only
c. x-axis only
d. Origin only
Answer:
The graph is symmetric about the x-axis only
Step-by-step explanation:
* Lets study the limacon curve
- Equations of the form:
# r = a + b sin θ
# r = a – b sin θ
# r = a + b cos θ
# r = a – b cos θ
All will produce limacons.
* Lets examine what happens for various values of a and b.
- When the value of a is less than the value of b, the graph is
a limacon with and inner loop.
- When the value of a is greater than the value of b, the graph is
a dimpled limacon.
- When the value of a is greater than or equal to the value of 2b,
the graph is a convex limacon.
- When the value of a equals the value of b, the graph is a special
case of the limacon. It is called a cardioid.
* Notice that, in each of the graphs of the liamcons, changing
from sine to cosine does not affect the shape of the graph just its
orientation.
- Equations using sine will be symmetric to the vertical axis
- Equations using cosine are symmetric to the horizontal axis.
∵ r = -2 + 3 cos Ф
- from the notes up the equation of cosine is symmetric to
the horizontal axis
∴ The graph is symmetric about the x-axis only
If fishing line cost .02 cents per foot, how much would 200 yards cost?
Answer:
12 cents
Step-by-step explanation:
(200 yd)·(3 ft/yd)·(0.02 ¢/ft) = 12 ¢
Which of the following relations is NOT a function?
A. {(2, 6), (- 4, 0), (2, 2), (3, 5)}
B. {(0, 0), (10, 4), (- 8, -5), (1, 1)}
C. {(12, 0), (- 4, 6), (2, 3), (6, 6)}
D. {(1, - 6), (9, 5), (7, 7), (5, 3)}
Answer:
It is A.
Step-by-step explanation:
In function A we see that there are 2 ordered pairs with value 2 in the first position with y values 6 and 2. So this is not a function.
A function is a relation in which each input pairs with exactly one output. In the given relations, option A is not a function because the input 2 pairs with both 6 and 2, contradicting the definition of a function.
Explanation:In mathematics, a function is a relation in which every input, also known as the domain, corresponds to exactly one output, called the range. Looking at the following relations, we determine if a relation is not a function by seeing if any input values are paired with more than one output.
Option A: {(2, 6), (- 4, 0), (2, 2), (3, 5)} is NOT a function because the input 2 corresponds to both 6 and 2, which violates the definition of a function.
Options B, C, and D each pair every input with exactly one output, thus they are all functions. In conclusion, the relation provided in option A is the only one that is not a function.
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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Use technology or a z-score table to answer the question.
The lengths of green beans for sale at a supermarket are normally distributed with a mean of 11.2 centimeters and a standard deviation of 2.1 centimeters. Consider a bag of 150 green beans.
How many green beans will be 13 centimeters or shorter?
Answer:
Choice C: approximately 121 green beans will be 13 centimeters or shorter.
Step-by-step explanation:
What's the probability that a green bean from this sale is shorter than 13 centimeters?
Let the length of a green bean be [tex]X[/tex] centimeters.
[tex]X[/tex] follows a normal distribution with
mean [tex]\mu = 11.2[/tex] and standard deviation [tex]\sigma = 2.1[/tex].In other words,
[tex]X\sim \text{N}(11.2, 2.1^{2})[/tex],
and the probability in question is [tex]X \le 13[/tex].
Z-score table approach:
Find the z-score of this measurement:
[tex]\displaystyle z= \frac{x-\mu}{\sigma} = \frac{13-11.2}{2.1} = 0.857143[/tex]. Closest to 0.86.
Look up the z-score in a table. Keep in mind that entries on a typical z-score table gives the probability of the left tail, which is the chance that [tex]Z[/tex] will be less than or equal to the z-score in question. (In case the question is asking for the probability that [tex]Z[/tex] is greater than the z-score, subtract the value from table from 1.)
[tex]P(X\le 13) = P(Z \le 0.857143) \approx 0.8051[/tex].
"Technology" Approach
Depending on the manufacturer, the steps generally include:
Locate the cumulative probability function (cdf) for normal distributions.Enter the lower and upper bound. The lower bound shall be a very negative number such as [tex]-10^{9}[/tex]. For the upper bound, enter [tex]13[/tex]Enter the mean and standard deviation (or variance if required).Evaluate.For example, on a Texas Instruments TI-84, evaluating [tex]\text{normalcdf})(-1\text{E}99,\;13,\;11.2,\;2.1 )[/tex] gives [tex]0.804317[/tex].
As a result,
[tex]P(X\le 13) = 0.804317[/tex].
Number of green beans that are shorter than 13 centimeters:
Assume that the length of green beans for sale are independent of each other. The probability that each green bean is shorter than 13 centimeters is constant. As a result, the number of green beans out of 150 that are shorter than 13 centimeters follow a binomial distribution.
Number of trials [tex]n[/tex]: 150.Probability of success [tex]p[/tex]: 0.804317.Let [tex]Y[/tex] be the number of green beans out of this 150 that are shorter than 13 centimeters. [tex]Y\sim\text{B}(150,0.804317)[/tex].
The expected value of a binomial random variable is the product of the number of trials and the probability of success on each trial. In other words,
[tex]E(Y) = n\cdot p = 150 \times 0.804317 = 120.648\approx 121[/tex]
The expected number of green beans out of this 150 that are shorter than 13 centimeters will thus be approximately 121.
You are given the system of equations to solve by the elimination method, which is an INCORRECT step that will NOT produce a system with the same solution?
2x + y = −10
3x + 4y = −20
A) multiply the first equation by 4 and subtract the second equation
B) multiply the first equation by −4 and add the second equation
C) add 8 times the first equation and −2 times the second equation
D) multiply y by 4 in the first equation and subtract the second equation
Answer:
Option D) multiply y by 4 in the first equation and subtract the second equation
Step-by-step explanation:
we have
2x+y=-10 ----> first equation
3x+4y=-20 ---> second equation
Verify each case
case A) multiply the first equation by 4 and subtract the second equation
so
(2x+y)*4=-10*4 ------> 8x+4y=-40
[8x+4y=-40]-[3x+4y=-20] -----> 5x=-20 -----> x=-4
This step is correct
case B) multiply the first equation by -4 and add the second equation
so
(2x+y)*-4=-10*-4 ------> -8x-4y=40
[-8x-4y=40]+[3x+4y=-20] ----->-5x=20 -----> x=-4
This step is correct
case C) add 8 times the first equation and −2 times the second equation
so
(2x+y)*8=-10*8 ------> 16x+8y=-80
(3x+4y)*-2=-20*-2 ----> -6x-8y=40
[16x+8y=-80]+[-6x-8y=40] ----->10x=-40 -----> x=-4
This step is correct
case D) multiply y by 4 in the first equation and subtract the second equation
so
2x+4y=-10
[2x+4y=-10]-[3x+4y=-20] -----> -x=-10+20 -----> x=-10
This step is incorrect
NOT produce a system with the same solution
The volume of a cube with a side length of 1 foot is cubic foot, or cubic inches. So, 1 cubic foot is equal to cubic inches.
The volume of a cube with a side length of 1 foot is 1 cubic foot, or 1728 cubic inches. So, 1 cubic foot is equal to 1728 cubic inches. The ratios of 1 cubic inch to 1/1728 cubic foot and 1 cubic foot to 1728 cubic inches can be used to convert between cubic inches and cubic feet.
When dealing with volumes, it's crucial to understand the relationship between cubic feet and cubic inches. Since 1 foot is equivalent to 12 inches, 1 cubic foot contains 12 × 12 × 12 = 1728 cubic inches. This conversion factor arises because volume is a measure of three-dimensional space, so each dimension is multiplied by itself three times.
To convert between cubic feet and cubic inches, you can use the conversion factor: 1 cubic foot = 1728 cubic inches. This means that to convert cubic feet to cubic inches, you multiply the volume in cubic feet by 1728, and to convert cubic inches to cubic feet, you divide the volume in cubic inches by 1728.
Understanding this relationship allows for easy conversion between the two units, whether you're dealing with measurements in feet or inches.
The probable question may be:
The volume of a cube with a side length of 1 foot is __ cubic foot, or __ cubic inches. So, 1 cubic foot is equal to __ cubic inches. The ratios of __ cubic inches to __ cublc foot and __ cubic foot to __ cubic inches can be used to convert between cubic inches and cubic feet.
What is the amplitude and period of f(t)= -cos 3t?
Answer:
option c
amplitude 1 ; period 2π/3
Step-by-step explanation:
Given in the question a function,
f(t)=-cos3t
Standard form of cosine function is
f(t)=acos(bt)
Amplitude is given by = |a|
Period of function is given by = 2π/b
So the amplitude is |-1| = 1
the period is 2π/3 = 2π/3
Answer:
c. The amplitude is 1.
The period is [tex]\frac{2\pi}{3}[/tex]
Step-by-step explanation:
The given cosine function is ;
[tex]f(t)=-\cos 3t[/tex]
This function is of the form;
[tex]f(t)=a\cos bt[/tex]
The amplitude is given by |a|
|-1|=1
The period of this function is given by;
[tex]T=\frac{2\pi}{|b|}[/tex]
[tex]T=\frac{2\pi}{|3|}=\frac{2\pi}{3}[/tex]
The amplitude is 1.
The period is [tex]\frac{2\pi}{3}[/tex]
The equation tan(x+ pi/3) is equal to
Answer:
Step-by-step explanation:
The answer is D. I just did it.
Answer:
Option D.
Step-by-step explanation:
We have to solve the trigonometric expression give below.
[tex]tan(x+\frac{\pi }{3})[/tex]
[tex]=\frac{tanx+tan\frac{\pi }{3}}{1-tanx.tan\frac{\pi }{3}}[/tex]
[Since [tex]tan(a+b)=\frac{tana+tanb}{1-tana.tanb}[/tex]]
Now we place the value of [tex]tan\frac{\pi }{3}=\sqrt{3}[/tex]
[tex]=\frac{tanx+\sqrt{3}}{1-tanx\sqrt{3}}[/tex]
Therefore, option D. is the answer.
Olivia ties 2.5 feet of ribbon onto 1 baloon.How many yards of ribbon does Olivia need got 18 baloons?
Answer:
15 yards
Step-by-step explanation:
1 balloon = 2.5 feet
18 balloons = 2.5 x 18 = 45 feet
1 yard = 3 feet
[tex]\frac{3 feet}{1 yard}=\frac{45 feet}{x yard}[/tex]
45 = 3x
x = 15 yards
This figure is the net
of which geometric
shape?
Answer:
B. cylinder
Step-by-step explanation:
How can bargain-shopping help spending?
It is still spending, but you buy twice as much.
It is meant to spend all you want.
It is shopping around for the best prices and saves money.
It is false advertising, because the stores never have the items.
Answer: It is shopping around for the best prices and saves money.
Step-by-step explanation: Bargain has the word "gain" in it. That's the best way I would look at it. Therefor I would cross out any other option that has to do with no benefit or the loss of something. Because we you bargain, you're getting multiple of something for a good price or maybe getting something that's on sale for a good price. For example: Buy 1 get 1 free items.
What is the best next step in the construction of a line that passes through point B and is perpendicular to line a?
A. Use a straightedge to draw a line through points B and E.
B. Use a straightedge to draw a line through points C and E.
C. Use a straightedge to draw a line through points B and D.
D. Use a straightedge to draw a line through points B and C.
The compass was used to make the crossing arcs at point E and point B is labeled, so the next step would be :
A. Use a straight edge to draw a line through points B and E.
Option: A is the correct answer.
A. Use a straightedge to draw a line through points B and E.
Step-by-step explanation:Perpendicular bisector--
It is a line that is perpendicular to the given line and the point where it intersects the given line segment is the mid-point of the line i.e. the perpendicular line bisects the line segment into two equal parts.
In the given figure if we join B and E point with the help of a straightedge then the line so obtained will be perpendicular to CD and it also divides CD into two equal parts.Chuck has a gross pay of $815.70. By how much will Chuck’s gross pay be reduced if he has the following items withheld?
federal tax of $56
Social Security tax that is 6.2% of his gross pay
Medicare tax that is 1.45% of his gross pay
state tax that is 19% of his federal tax
a.
$73.04
b.
$129.04
c.
$235.51
d.
$273.38
Answer:
$129.04
Step-by-step explanation:
Gross pay: $815.70
The following will be deducted as
(0.062 · $815.70 + 0.0145 · $815.70 + 0.19 · $56 + $56, or:
$50.57 + 11. 83 + $10.64 + $56, or
$129.04
His pay will be reduced by $129.04.
Next time, please share ALL of the possible answer choices. Thx.
The amount that Chuck's gross pay will reduce by as a result of the items withheld is d. 273.38
The items withheld from Chuck's pay are:
= Federal tax + Social security tax + Medicare tax + State tax
Solving gives:
= 56 + (6.2% x 815.70) + (1.45% x 815.70) + (19% x 815.70)
= 56 + 50.57 + 11.83 + 154.98
= $273.38
In conclusion, the total reduction will be $273.38
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Describe the transformations of the following function. y=tan(2x-π)
Answer:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
The equation is:
y = tan(2x - π)
y = tan (2*(x-π/2))
We can compare it to its parent function
g(x) = tan(x)
The answer is
Option a.
Horizontal shrink by 1/2 and horizontal shift of π/2 to the right
A shoe store expected to to sell at least 95 pairs of shoes one weekend but only sold 77 pairs. What was the approximate percent error?
about 19 percent (~19%)
Gabrielle tossed a die onto a black-and-red checkerboard. What is the probability that it will land with a value less than 3 and on a red square?
The probability that the die will land with a value less than 3 and on a red square, given an equal number of black and red squares, is 1/6.
Explanation:The subject of this question is probability, a branch of Mathematics. In the given scenario, Gabrielle is tossing a die onto a black-and-red checkerboard. There are two separate events here - the roll of the die and the colour of the square where the die lands.
Firstly, the probability that the die will land with a value less than 3 is 2/6, or 1/3, as there are two sides of a six-sided die that have values less than 3 (1 and 2).
Secondly, assuming the checkerboard has an equal number of red and black squares, the probability that the die will land on a red square is 1/2.
Since these are separate events, we can calculate the combined probability by multiplying the probabilities of the individual events: (1/3) * (1/2) = 1/6. So, the answer is 1/6.
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2log2-3log2=log2x
I need to show work, please show how to do it
Answer:
x = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Using the rules of logarithms
• log[tex]x^{n}[/tex] ⇔ n logx
• logx - logy = log([tex]\frac{x}{y}[/tex])
• logx = logy ⇔ x = y
Given
2log2 - 3log2 = log2x
log2² - log2³ = log2x
log4 - log8 = log2x
log[tex]\frac{4}{8}[/tex] = log2x, hence
2x = [tex]\frac{1}{2}[/tex]
x = [tex]\frac{1}{4}[/tex]
Fatema is making three hanging lanterns. They are each in the shape of a cone with a base radius of 0.5 feet and a slant height of 1.5 feet. She plans to completely cover all three lanterns with fabric. How many square feet of fabric will Fatema need?
Answer:
[tex]9.42\ ft^{2}[/tex]
Step-by-step explanation:
step 1
Find the surface area of one hanging lantern
we know that
The surface area of a cone (hanging lantern) is equal to
[tex]SA=\pi r^{2} +\pi rl[/tex]
we have
[tex]r=0.5\ ft[/tex]
[tex]l=1.5\ ft[/tex]
assume
[tex]\pi=3.14[/tex]
substitute the values
[tex]SA=(3.14)(0.5)^{2} +(3.14)(0.5)(1.5)[/tex]
[tex]SA=3.14\ ft^{2}[/tex]
step 2
Find the surface area of the three hanging lanterns
[tex]SA=(3)*3.14=9.42\ ft^{2}[/tex]
Answer:
9.42
Step-by-step explanation:
i need help asapppppppp
Answer:
a) h(x)
b) q(x)
c) w(x)
Step-by-step explanation:
Finding the answers for this is easy. Take two values for x that shows a different Y-value for each function on the graph and place them in the equations suggested to see which equation match their Y-value on the graph.
Let's take x = -1 and x = 1.
a) h(x) = | -x + 3 |
| - (-1) + 3| = | 4 | = 4
| - 1 + 3 | = | 2 | = 2
h(x) passes through (-1,4) and (1,2)
b) q(x) = | x | + 3
|-1| + 3 = 4
| 1 | + 3 = 4
q(x) passes through (-1,4) and (1,4)
c) w(x) = | x+ 3 |
| -1 + 3 | = | 2 | = 2
| 1 + 3 | = | 4 | = 4
w(x) passes through (-1,2) and (1,4)
11cm long a ribbon is 24 cm long and a large paper clip is 5 cm long how much longer is the ribbon than string
Answer:
There's no string in your question so zero. If you find out how long the string is just subtract it from the ribbon
Step-by-step explanation:
1 On a trip to Griffith Observatory, Dave rode his bicycle six more than twice as many miles in the afternoon as in the morning. If the entire trip was 57 miles long, then how far did he ride in the morning and in the afternoon?
Answer:
the answer is he rode 17 miles in the morning and 40 miles in the afternoon
Step-by-step explanation:
so in the afternoon, it says that 6 more than twice as many miles in the afternoon as in the morning. this means that if the morning is x then in the afternoon it will be 2x+6 but it says altogether it is 57 miles so the you have to add x too.
so the equation is 2x+6+x=57
then this should be easy to solve.
2x+6+x=57
3x+6=57
3x=51
x=17
so if the morning is 17 miles then the afternoon will be:
2(17)+6
this equals to 40.
I hope that this is helpful!
solve 100 ÷ 5 × 4 + 4³.
A. 69
B. 144
C. 0.3
D. 1.2
Answer:
144 (Answer B)
Step-by-step explanation:
We must do exponentiation first. Next comes multiplication and division. Last comes addition and subtraction.
the proper evaluation (not solution) of 100 ÷ 5 × 4 + 4³ is as follows:
Evaluate 4³ first; it is 64.
Next, do the division: 20 · 4 + 64 = 80 + 64 = 144 (Answer B)
9.6, –4.8, 2.4, –1.2, 0.6, ...
f(n + 1) = –0.5f(n)
f(n + 1) = 0.5f(n)
f(n + 1) = f(0.5n)
f(n + 1) = f(–0.5n)
Answer:
a
Step-by-step explanation:
Math Post Q3 What inequality describes the graph?
For this case it is observed that the border of the region is not dotted, then the inequality includes an equal.
Thus, we discard options C and D.
We substitute the point (0,0) and see if it is fulfilled:
[tex]y\geq\frac {3} {2} x-3\\0 \geq\frac {3} {2} (0) -3\\0 \geq0-3\\0 \geq-3[/tex]
It is fulfilled, so the correct option is A.
Answer:
Option A
Answer:
A. [tex]y\geq \frac{3}{2} x-3[/tex]
Step-by-step explanation:
We are given a graph and we are to determine which inequality is described by the graph.
Since the graph has a solid line that means that the inequality includes the points on the line and must contain an equal sign.
So we will substitute the point (0, 0) to find the correct inequality.
[tex]y\geq \frac{3}{2} x-3[/tex]
[tex]0\geq \frac{3}{2} (0)-3[/tex]
[tex]0\geq 3[/tex] - true
[tex]y\leq \frac{3}{2} x-3[/tex]
[tex]0\leq \frac{3}{2} (0)-3[/tex]
[tex]0\leq 3[/tex] - false
Therefore, the correct inequality is [tex]y\geq \frac{3}{2} x-3[/tex].
August hosted two dinner parties for his friends. Twenty guests attended the first party, and thirty-three guests attended the second party. What is the percentage increase of the number of guests from the first party to the second party?
Answer:
50%
Step-by-step explanation:
PLEASE HELP ASAP!!! 50 Points!!!!
A quadratic equation is shown below: 3x^2 − 15x − 10 = 0
Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work.
Part B: Solve 4x^2 − 8x − 5 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.
Answer:
two solutions x = 1 and x = - 8/3 x
Step-by-step explanation:
These are two questions and two answers:
Question 1:
A quadratic equation is shown below: 3x^2 − 15x + 20 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work.
Answer: The negative value of the radicand means that the equation does not have real solutions.
Explanation:
1) With radicand the statement means the disciminant of the quadratic function.
2) The discriminant is: b² - 4ac, where a, b, and c are the coefficients of the quadratic equation: ax² + bx + c
3) Then, for 3x² - 15x + 20, a = 3, b = - 15, and c = 20
and the discriminant (radicand) is: (-15)² - 4(3)(20) = 225 - 240 = - 15.
4) The negative value of the radicand means that the equation does not have real solutions.
Question 2:
Part B: Solve 3x^2 + 5x − 8 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.
Answer: two solutions x = 1 and x = - 8/3x
Explanation:
1) I choose factoring (you may use the quadratic formula if you prefer)
2) Factoring
Given: 3x² + 5x − 8 = 0
Make 5x = 8x - 3x: 3x² + 8x - 3x - 8 = 0
Group: (3x² - 3x) + (8x - 8) = 0
Common factors for each group: 3x(x -1) + 8(x - 1) = 0
Coomon factor x - 1: (x - 1) (3x + 8) = 0
The two solutions are for each factor equal to zero:
x - 1 = 0 ⇒ x = 1
3x + 8 = 0 ⇒ x = -8/3
Those are the two solutions. x = 1 and x = - 8/3
Answer:
the answer is 21
Step-by-step explanation:
its 21 because 10+11=21
HELP PLEASE!!!
Angle 2 is equal to angle __?
Answer:
Angle 8.
Step-by-step explanation:
It is equal to angle 8. These are called vertical angles in the States and opposite angles in the UK.
∠2 is equal to ∠8.
We need to find ∠2 is to which angle in the given figure.
What are vertically opposite angles?Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other.
Here the vertically opposite angles are as follows:
∠2=∠8, ∠1=∠7, ∠3=∠5 and ∠6=∠4.
Therefore, ∠2 is equal to ∠8.
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