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Yanka [14]
3 years ago
10

Find the measure of one interior angle for the following regular polygon ​

Mathematics
1 answer:
kipiarov [429]3 years ago
7 0

Answer:

144 degrees

Step-by-step explanation:

We can use the formula (n-2)(180), where n = number of sides, to find the sum of all the interior angles in the decagon. Since a decagon has 10 sides:

(n-2)(180) = ?

(10-2)(180) = ?

(8)(180) = 1440.

Now, to find one interior angle in the decagon, divide 1440 by the number sides in our polygon (10).

1,440/10 = 144

               = <u>144 degrees</u>

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Answer: The budget of Alexa is increased by $100.

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To get the x and the y
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Answer:

x = 16

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Step-by-step explanation:

the left part of the triangle can be solved first as it already has one angle and 1 side, we use trigonometry for this.

since we have 2 sides and 1 angle, to find the third side length we use the pythagoras theorem. a² + b² = c²

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; 225 = c²

;√225 = c

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since we have all the lengths of the triangle, we can find out the angle opposite to the side length '9',

; \frac{Sin x}{9} = \frac{sin90}{15}

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36.86 = x

now, we look at the triangle as a whole, the top angle being 90 degrees, we know that we have 36.86.

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