the measure if an exterior angle of a regular polygon is given below find the measure of an interior angle then find the number of sides

24​

Answers

Answer 1

Answer:

The measure of the interior angle is 156°

The polygon has 15 sides

Step-by-step explanation:

Let us revise some facts in a polygon

The sum of the exterior angles of any polygon is 360°At each vertex of a polygon, the exterior and interior angles formed a pair of linear angles (The sum of their measures is 180°)A regular polygon has equal angles and equal sides

In our question

∵ The measure of an exterior angle of a regular polygon = 24°

∵ The sum of measures of the interior angle and exterior angle at

   a vertex of a polygon is 180°

∴ The measure of the interior angle = 180° - 24°

The measure of the interior angle = 156°

∵ The sum of the exterior angles of any polygon is 360°

∵ The polygon is regular (all angles are equal in measures)

∴ The measure of each exterior angle = 360° ÷ n, where n the

   number of its angles or sides

24° = 360°/n

→ Multiply both sides by n

∴ 24n = 360

→ Divide both sides by 24

n = 15

The polygon has 15 sides


Related Questions

9-9-9-9-9-9-9-9-9-8-8-8-8-8-7-7-7-77-7-7-7-7-6--35-3-5-34-5-4-5-34-35366386647832648638764872384687384326478364687326467823648723648723

Answers

I think that this would be a great question for a calculator. All you need to do is plug the numbers in, and the calculator will solve the problem for you {although that last number might be a bit long for the calculator:) }

Answer:

Your answer is -3.5366387e+67

Step-by-step explanation:

your welcome

what is an irrational number that is between 9.5 and 9.7 and why ​

Answers

Answer:

9.6666...

Step-by-step explanation:

9.6666... is an irrational number because it repeats itself and does not end.

answer this asap please.​

Answers

Answer:

[tex](9-7*3+4)^{2}[/tex]

[tex](13-21)^{2}[/tex] (the first step)

Step-by-step explanation:

*multiply 7 by 3 and add 4 to 9*

Can someone explain to me how to do this I don’t know how to do it

Answers

Answer:

graph the function and for the points, look at the x values and then you'll find their y values  in the function u graphed.

Step-by-step explanation:

Or plug in the values for x. (ONE AT A TIME!) and solve it that way.

Hope this helps.

Donovan rode 135 miles on his bike at a unit rate of 27 miles per hour. How many hours did he spend riding?

Answers

Answer:

5 HOURS

Step-by-step explanation:

Answer:

5 hours

Step-by-step explanation:

A hat contains 6 red marbles, 4 yellow marbles, 2 blue marbles, and 8 green marbles. One marble is drawn randomly. Find the probability the marble is red or yellow.

Answers

Answer:

Red=6

Yellow=4

Blue=2

Green=8

Total=20

Probability for Red = 6/20 = 3/10

Probability for Yellow = 4/20 = 1/5

a store has a outfit that is $35.00 and 50% of what is the price now.

Answers

Answer:

$70

Step-by-step explanation:

The price is x

50% of the price is $35

x*0.5 = 35x = 35/0.5x = 70

Answer is $70

Answer:

$17.50

Step-by-step explanation:

50% off the price of $35

= $35 ( 0.50)

= $17.50 (price now)

Jell was playing among us for 3 hours straight,the next day she played for 1 hour,in total she played for 4 hours,and each time she was impostor for 19 games so how long is each game for her to win each time


hint:19*4

Answers

Answer:76

Step-by-step explanation:

If x varies directly as y, find x when
y = 1 if x = 12 when y = 4.
A. 1
B. 3
C. 4
D. 9
HELPMEE

Answers

The answer is b .......

Given ∠A and ∠B are vertical angles with m∠A=10x+5 and m∠B=15x−10 .

What is x?

Enter your answer in the box.

Answers

10x + 5= 15x - 10

5= 5x - 10

15 = 5x
divide both sides by 5

x = 3

The measure of x is 1.

What are vertical angles?

Vertical angles are formed when two lines meet each other at a point. They are always equal to each other.

given:

m∠A=10x+5 and m∠B=15x−10 .

As, ∠A and ∠B are vertical angles

so,

m∠A=  m∠B

10x +5 = 15x -10

10x - 15x = -10 +5

-5x = -5

x= 1

Hence, the value of x is 1.

Learn more about vertical angles here:

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Which equation can be used to graph the line that passes through (6, 15) and is perpendicular to the graph of y-7=1/2(x+2)

Answers

Answer:

y = -2x + 27

Step-by-step explanation:

Firstly, we shall need to reform the given line equation;

y-7 = 1/2 ( x + 2)

y - 7 = x/2 + 1

y = x/2 + 1 + 8

y = x/2 + 8

Comparing this with y = mx + c

where m is the slope, then the slope of the line is 1/2

Since the line we are looking for has a slope perpendicular to this line, it means that the product of their slopes is -1

m1 * m2 = -1

1/2 * m2 = -1

m2 = -2

So we want an equation with slope -2 passing through (6,15)

we use the point slope method here;

y-y1 = m(x-x1)

y-15 = -2(x-6)

y-15 = -2x + 12

y= -2x + 12 + 15

y = -2x + 27

PLZZZZZZZZ AWNSER!! I"LLL BY YOU CHOCOLATEEE!!!
8×7+7×2^2 +3

Answers

Answer:

87

Step-by-step explanation:

Where's my chocolate...

what is 2000 times 2

Answers

Answer:

The answer is 4,000

What is 7/20 in decimals

Answers

Answer:  0.35 your welcome

Step-by-step explanation:  

Evaluate the expression and express result in scientific notation (4.3 x 10^2)(1.1 x 10^7)

Answers

Answer:

Your correct answer is 4.73x^10000100


HELP ASAP!!! PlEASE

Answers

I believe that the answer is...

y = 0

Factor by grouping
3x^2-11x+10

Answers

Answer: (x - 2)(3x - 5)

Step-by-step explanation:

I'm using the berry method to factor, so first, I multiply 3 times 10 to get 30. Now I have to figure out what two numbers, when multiplied together, yield 30 and when are added together, give me -11. Those two numbers are -6 and -5. The equation now becomes (3x -6)(3x -5). Reducing the first binomial: (3x - 6)/3 = (x - 2)

the solution is (x - 2)(3x - 5), and we can check this by multiplying it out, which gives us our starting number, meaning it's correct.

2s – 3t = 4 solve for t

Answers

Answer:

the answer I got was s/2

Answer:

     2s - 4

t = ----------

         3

Step-by-step explanation:

Let's isolate t on the left side.  To do this, subtract 2s from both sides, obtaining

-3t = 4 - 2s

Now divide all three terms by -3, which results in:

     4 - 2s

t = ----------

        -3

or:

     2s - 4

t = ----------

         3

compare 249 and 271 write the greatest number in word form.

Answers

Answer:

271>249

Two hundred seventy-one is greater than two hundred forty-nine

I don't know if you should only write the bigger number

Answer:

3.7/5. 6.

Step-by-step explanation:

An industrial printing machine printed 1764 pages in 6 minutes. How much would it have printed in 4 minutes?

Answers

Answer:

1176

Step-by-step explanation:

i hope this helps out

What is 1/2 2 1/3 multiplied in simplest form

Answers

Answer:

The answer is 7/6. Hope this helps.

0.0985 rounded to the nearest tenth

Need fast answersss!!

Answers

0.1 since 9 is greater than 5

Hope this helps!! <3

What is y, m, and b?

Answers

m is 1/4

b is 2

As for Y I think its wants you to write out the problem so it would be Y=1/4x+2

An angle measures 98° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

Step-by-step explanation:

Let the supplement = x

x + x +98 = 180                Equation

2x + 98 = 180                  Subtract 98    

2x = 180 - 98                   Combine

2x = 82                             Divide by 2

x = 82/2

x = 41

The two angles are

41

41 + 98 = 139

Write an inequality for the situation: the sum of two numbers is less than 5.

Answers

The answer to this question would be a+b<5

solve
e - 13 = 31
WILL GIVE BRAINLIEST

Answers

Answer:

44

Step-by-step explanation:

Step 1:

e - 13 = 31      Equation

Step 2:

e = 31 + 13     Add 13 on both sides

Answer:

e = 44      Add

Hope This Helps :)

this is my question paper please give me answer how much you all can please ​

Answers

Answer:

1st:Business is an organization or enterprising entity engaged in commercial, industrial or professional activities. Stephenson defines that the regular production or purchase and sale of goods under taken with an objective of earning profit and acquiring wealth through the satisfaction of human wants.

aspects:Marketing, Product Development, Sales, Customer Service, on and on and on

organic fertilizer:An organic fertilizer is a fertilizer that is derived from organic sources, including organic compost, cattle manures, poultry droppings and domestic sewage

advantage:Organic materials and fertilizers improve the soil texture, allowing it to hold water longer, and increase the bacterial and fungal activity in the soil

herbal plant and uses: chamomile

tulsi

Mexican mint

garlic

tumeric

(I will answer other questions,gimme some time pls)

As an estimation we are told £3 is €4.
Convert £13.50 to euros

Answers

€18 is the answer
If you’ve been given an estimate, use that to determine how much £13.50 would be by cross multiplying
13.50 pounds is 14.87 euros

Which graph represents a linear function?
On a coordinate plane, a parabola opens down.
On a coordinate plane, a line has a negative slope.
On a coordinate plane, a line curves up.
On a coordinate plane, a line curves down, levels off, and then curves down.

Answers

Answer:

A,D

Step-by-step explanation:

just did it on edge2020

The linear function is

On a coordinate plane, a parabola opens down.On a coordinate plane, a line curves down, levels off, and then curves down.What is linear function?

A linear function is a function that represents a straight line on the coordinate plane.

As, linear function is a function whose graph is a straight line. Therefore, a nonlinear function has a graph which is not a straight line.

learn more about linear function here:

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Gina is hiking from the top of a mountain. In 24 minutes, she walks down the mountainside to a location 1,524 feet from the top of the mountain. If she walks at about the same pace, express ginas average Change in alititude per minute?

Answers

Answer: 63.5 alt/min

Step-by-step explanation: 1,524/24.

The change in altitude per minute is 63.5 alt/ min

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

In 24 minutes = 1524 feet

So, the average Change in altitude per minute

=1524/24

= 63.5 alt/ min

hence, change in altitude per minute is 63.5 alt/ min.

Learn more about unitary method here:

https://brainly.com/question/22056199

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