3 years ago

How many sides does a regular (equal sides and equal angles) polygon have if each exterior angle measures 24°? # of sides =?

1 answer:

5 0

If the measure of each exterior angle is 24, the measure of each interior angle is then 180-24=156
the sum of the interior angles of a polygon is (n-2)*180, n is the number of sides
(n-2)*180=156*n
180n-360=156n
24n=360
n=15
the polygon has 15 sides

You might be interested in

What is 5 divided by 535 long divison

marysya [2.9K]

The answer is .00934 hope this helped!

6 0

3 years ago

I'm a factor of 20 but not a multiple of 5

lianna [129]

2 is a factor of 20 and not a multiple of 5

4 0

3 years ago

Read 2 more answers

Biking at 10 mph, it takes Kristen 1/2 hour to reach the train station to go to work. Kristen then takes the train to work, and

Ket [755]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A wooden board is 100 cm long is cut into two pieces. One piece is 16 cm longer than the other. What are the lengths of the othe

Agata [3.3K]

100-16=84. 84/2=42. 42+16=58. The lengths are 42cm and 58cm.

8 0

3 years ago

Adult male heights are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. The average basketbal

sweet-ann [11.9K]

Answer: First Option is correct.

Step-by-step explanation:

Since we have given that

Mean $(\mu)$ = 70 inches

Standard deviation $(\sigma)$ = 3 inches

Average basket ball player $(\bar{X})$ = 79 inches

Since it is normally distributed assume with 5% significance .

So, it becomes,

$Z>\frac{\bar{X}-\mu}{\sigma}\\\\Z>\frac{79-70}{3}\\\\Z>\frac{9}{3}\\\\Z>3\\\\\therefore\ P(Z>3)=1-0.9987=0.0013$

At 0.05 level of significance , 0.0013 = 0.13% of the adult male population is taller than the average basketball player .

Hence, First Option is correct.

5 0

3 years ago

Read 2 more answers