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monitta
3 years ago
11

What is the value of x? Enter your answer in the box.

Mathematics
1 answer:
Tamiku [17]3 years ago
3 0

It's a hexagon.

The formula of the sum of internal angles in the polygon:

S=(n-2)\cdot180^o

Therefore

112^o+133^o+128^o+100^o+120^o+x^o=(6-2)\cdot180^o\\\\593^o+x^o=720^o\ \ \ \ |-593^o\\\\x^o=127^o

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How do I do this? It is a regular hexagon with a height of 30. We have to find the perimeter of it.
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Answer:

The radius of a hexagon is called the apothem, which in this case is 15.

We need to know the side length which is found by the equation:

side length = apothem * 2 * (tan (180 / #sides))

side length = apothem * 2 * (tan (180 / 6))

side length = 15 * 2 * (tan (30 degrees))

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Source: https://www.1728.org/polygon.htm

Step-by-step explanation:

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