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snow_tiger [21]
3 years ago
11

Find the number of sides of a regular polygon with each interior angle equal to 157.5°. The regular polygon has sides.

Mathematics
1 answer:
yawa3891 [41]3 years ago
7 0
The interior angle plus the exterior angle totals to 180 so you would take 180 and subtract 157.5 and get 22.5
next you would take 360 for the total of degrees that he external angles totals up to.
so 360 divided by 22.5 equals the number of sides you shape has and that would be 16 sides.
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To obtain a score of 85% on a test worth 135 points, one needs to get 115 points. By using proportions, we get the required value.

<h3>How to write proportions?</h3>

A proportion is defined as an equality between two ratios.

Consider two ratios a:b and c:d. Then, the proportion we can write,

a: b = c : d

Then, the simplification we have for this proportion is

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<h3>Calculation:</h3>

It is given that, a certain test is worth 135 points.

One to get 85% on this test, he/she needs to get X number of points.

So, we can write the proportions as

X : 135 = 85 : 100

⇒ X/135 = 85/100

⇒ X = 85/100 × 135

∴ X = 114.75 ≅ 115 points

Learn more about proportions at the following link:

brainly.com/question/140018

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