Each exterior angle of a regular polygon is 24º.How many sides does the polygon have?

Mathematics

2 answers:

Alex3 years ago

8 0

15 sides

The polygon has 15 sides

360/24=15

valina [46]3 years ago

5 0

Answer: 360 / 24 = 15

Step-by-step explanation :

Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.

You might be interested in

A helicopter makes a round trip flight that lasts 4.5 hrs. if the average rate out was 80 miles per hour and the average rate in

zlopas [31]

Answer:

Let d = the one-way trip

Write a time equation: time = dist/speed

time out + time back = 4.5 hrs

d/80 + d/100 = 4.5

Multiply by 400 to clear the denominators

400*d/80 + 400*d/100 = 400(4.5)

Cancel the denominators

5d + 4d = 1800

d = 1800/9

d = 200 miles max distance

3 0

3 years ago

Use this diagram to find the measures of the lengths of the sides. The perimeter of the trapezoid on the right is 97 inches.

irina [24]

Answer: 48 inches, 14 inches, 21 inches and 14 inches.

Step-by-step explanation:

1. The perimeter of the trapezoid is the sum of the lengths of its sides. You know that the perimeter is 97 inches, then, you can write the following expression:

$3.5x-1+x+x+1.5x=97\\7x-1=97$