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Nata [24]
4 years ago
6

The measure of an exterior angle of a regular polygon is 15°. What is the sum of the measures of the interior angles of the poly

gon?
Mathematics
1 answer:
dimaraw [331]4 years ago
5 0
First thing you must do is find the number of sides of the polygon.
The sum of all the exterior angles of a polygon is always 360°.
360/15 = 24
The polygon has 24 sides.

The formula for the sum of the interior angles of a polygon is:
180(n - 2)
Where n is the number of sides.

180(24 - 2)
180(22)
3960

The sum of the measure of the interior angles of the polygon is 3960.
You might be interested in
Multiply equation by a power of 10 to write an equation with integer coefficients
Katyanochek1 [597]
Multiply by 10^3=1000

You get:
-625y-184=2506y
5 0
3 years ago
What does a probability distribution​ indicate? choose the correct answer below.
Sedaia [141]
The correct answer is C) both a and b.

A probability distribution shows all of the possible values of the experiment and the probabilities that go with them.
6 0
4 years ago
The ages of members of an online gaming group are normally distributed with a mean of 23 years and a standard deviation of 4 yea
Lelechka [254]
To get the number of members between 15 years and 30 years we proceed as follows:
z=(x-μ)/σ
where:
mean,μ=23
standard deviation, σ=4 years
thus
P(15<x<31)
when x=15
P(x<15)
z=(15-23)/4
z=-2
thus
P(x<15)=P(z<-2)=0.0228

when x=31
z=(31-23)/4
z=2
thus
P(x<31)=P(z<2)=0.9772
Hence:
P(15<x<31)=0.9544
hence the number of members between that age was:
0.9544×300
=286.32 people
~285 People
Answer: 285 people

5 0
4 years ago
A construction elevator can carry at most 2,320 pounds. If the elevator operator weighs 195 pounds and each palette of roofing m
asambeis [7]

Answer:

5

Step-by-step explanation:

2320 - 195 = 2125

2125/425 = 5

3 0
4 years ago
What is the value of a in the equation 304 b =54, when b =9? O 15 O 18 0 21 O 27
Serhud [2]

Step-by-step explanation:

I'm not sure where a is supposed to be in this equation, but I'm going to assume it's supposed to be written as either 3a x 4b = 54, or 304b = 54a. If it's something else, let me know, but I'll just answer these two for now.

1. 3a x 4b

So we know that b is equal to 9. Therefore, we can rewrite

3a \times 4b = 54

as

3a \times 4(9) = 54

To get rid of a multiplier on one side, divide both sides by the number you want gone. I'll use 4(9), which equals 36.

3a = 54 \div 36 = 1.5

Then we can divide by 3 to get

a = 1.5 \div 3 = 0.5

0.5 isn't a viable answer, so I'll try the second interpretation.

2. 304b = 54a

This one is a bit easier. All we need to do is divide both sides by 54 to get

304b \div 54 = a

304 x 9 = 2736

2736/54 = 50.66...

Again, not a viable answer. Please edit your question to include a and I'll give it another shot!

5 0
2 years ago
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