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balu736 [363]
3 years ago
15

Pls help! will give brainlist!

Mathematics
2 answers:
igomit [66]3 years ago
8 0
The answer is: A

A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144°
laila [671]3 years ago
4 0
<h3>Answer: a. 144 degrees</h3>

=====================================================

Work Shown:

E = exterior angle

n = number of sides

For any regular polygon, E = 360/n.

In this case, n = 10 as there are 10 sides, so E = 360/n = 360/10 = 36 degrees is the measure of each exterior angle.

Each interior angle is 180-E = 180-36 = 144 degrees

--------------

An alternative is to plug n = 10 into the formula below to get the measure of each interior angle i

i = 180(n-2)/n

i = 180(10-2)/10

i = 180(8)/10

i = 1440/10

i = 144

note: S = 180(n-2) is the sum of all the interior angles of any convex polygon. Dividing this sum over n will evenly divide the angle total to each interior angle.

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7 0
3 years ago
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5 0
3 years ago
Help finding the sum
Mamont248 [21]
It is asking you to find the sum of k^2 - 1 from k=1 to k=4. Since that is only 4 numbers, calculating the sum by hand wouldn’t be that bad.

(1^2 - 1) + (2^2 - 1) + (3^2 - 1) + (4^2 - 1) = 26

The easier way to find the sum is to use a few simple formulas.

When we have a term that is just a constant c, the formula is c*n.

When we have a variable k, the formula is k*n*(n+1)/2.

When we have a squared variable, the formula is k*n*(n+1)*(2n+1)/6.

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3 years ago
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