Answer:
MKL = 36°
Step-by-step explanation:
(3x + 6) + (6x + 12) = 54°
3x + 6x + 6 + 12 = 54
9x + 18 = 54
9x = 54 - 18
9x = 36
x = 36/9
x = 4
MKL = 6x + 12
MKL = 6(4) + 12
MKL = 24 + 12
MKL = 36°
The length of the shortest side of the hexagon is; 41.833 inches
<h3>How to find the perimeter of a Polygon?</h3>
Let the length of the shortest side of the hexagon be x. Now, a hexagon has six sides and if the next side is 10 inches longer than the previous side, then the length of the six sides are;
x, x + 10, x + 20, x + 30, x + 40, x + 50
Perimeter is given as 401 inches. Thus;
x + x + 10 + x + 20 + x + 30 + x + 40 + x + 50 = 401
6x + 150 = 401
6x = 401 - 150
6x = 251
x = 251/6
x = 41.833 inches
Read more about Polygon Perimeter at; brainly.com/question/14490532
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Answer:
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Step-by-step explanation:
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