The ratio of the interior angle of a regular polygon to the exterior angle is 13:2 . How many sides does it have?

15

Step-by-step explanation:

Int angle : Ext angle : Total

13 : 2 : 15 (13+2)

We know that, int angle + ext angle = 180

Let's introduce a variable x to help solve this ratio

Our ratio is now - 13 x : 2 x : 15x

Use your total ratio and equate it to your total angle size

15 x = 180

x = 180 / 15 = 12

So,

Int angle = 13 x = 13 (12) = 156

Ext angle = 2 x = 2 × 12 = 24

Now, use this formula.

Ext angle = 360 / n

(n represents your number of sides)

24 = 360 / n

n = 360 / 24 = 15

Related Questions

Joel received a \$8.00 tip from a customer who had a \$50.00 bill.Which decimal represents the fraction of the bill Joel received as a tip?

A 0.08

B 0.16

C 0.22

D 0.625

Step-by-step explanation:

Veronica is making emergency- preparedness kits to share with friends. She has 20 bottles of water and 12 cans of food, which she would like to distribute equally among to kits, with nothing left over. What is the greatest number of kits Veronica can make ?

she could only make 4

Step-by-step explanation:

Solve F(x) for the given domain.F(x)= x2 + 3x-2
F(-1) =
Jutaານເພະາ
a. -4
b. -6
C. 2.​

A. -4

Step-by-step explanation:

F(-1) means we must plug the number "-1" in for each x.

F(x) = x^2 + 3x - 2

F(-1) = (-1)^2 + 3(-1) - 2

= 1 - 3 - 2

= -4

A triangle on the coordinate plane has points located at (2,5) (5,9) and (8,5) what is the area of the triangle?

123

Step-by-step explanation:

012+121

Using the expression you found in part a, how many minutes will it take to make and pack an order for 15 parts?

It will take 40 minutes to make and pack an order for 15 parts.

Step-by-step explanation:

It will take 40 minutes to make and pack an order for 15 parts.

Step-by-step explanation:

HELP ASAP WILL MARK BRAINLY

Step-by-step explanation:

let x = 0.616161 (etc.)

make a second equation because you multiply by 100:

100x = 61.616161 (etc.)

subtract from each other

100x = 61.616161

x =  0.616161

you get

99x = 61

solve for x