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natta225 [31]
3 years ago
9

Find measures of each exterior angle of a regular polygon with 16 sides

Mathematics
2 answers:
Maksim231197 [3]3 years ago
3 0
The measure of each exterior angle = the measure of each central angle.
each angle = 360 / 16 = 22.5
qwelly [4]3 years ago
3 0

Answer: 22.5°

Step-by-step explanation: In this problem, we are asked to find the measure of each exterior angle of a regular polygon that has 16 sides.

The formula for finding the measure of each exterior angle of a regular polygon is similar to the formula for finding the measure of each interior angle.

We take the sum of the measures of the exterior angles which is always 360° divided by the number of sides in the polygon which is <em>n</em>. So the formula for finding the measure of each exterior angle of a regular polygon is 360/n.

In this problem, since the polygon has 16 sides, we simply plug a 16 in for <em>n</em> in our formula and we have 360 divided by 16 which is 22.5.

So the measure of each exterior angle of a regular polygon that has 16 sides is 22.5°.

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Step-by-step explanation:

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(02.01MC)The Department of Health in the Germany wants to know whether the national healthcare system is achieving its goals in
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6 0
2 years ago
Solve 3(x + 1) + 6 = 33.
sammy [17]

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Step-by-step explanation:

7 0
3 years ago
Please help me with this​
Vikentia [17]

Answer:

see explanation

Step-by-step explanation:

2πr (230/360) = 2(3.142)(40) = 160.59 cm = circumference

160.59 = 2πr

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6 0
4 years ago
In January, Bangkok is hotter than Cape Town while Cape Town is hotter than Moscow. Which inequality correctly compares the temp
igor_vitrenko [27]

Answer: The correct option is D.

Explanation:

It is given that in January, Bangkok is hotter than Cape Town it means the temperature of Bangkok is greater than the temperature of Cape Town. It can be written in the inequality form as shown below,

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It is the conclusion (1).

It is also given that the Cape Town is hotter than Moscow it means the temperature of Cape Town is greater than Moscow. It can be written in the inequality form as shown below,

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5 0
3 years ago
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