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3 years ago

13

How do I find X in this math problem?

1 answer:

yawa3891 [41]3 years ago

7 0

You can use the fact that an exterior angle of a triangle is equal to the sum of the opposite interior angles.

97 +x = 64 +27 . . . . the relevant geometric relationship
x = 64 +27 -97 . . . . subtract 97
x = -6 . . . . . . . . . . . do the arithmetic

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Answer:

Area of the figure = 109 cm. square

Step-by-step explanation:

The radius of the semi circle is 12 ÷ 2 = 6 cm.

Area of the semi circle = $\frac{1}{2}\pi(6^{2})=18\pi$

The radius of the quarter circle is 6 cm.

Area of the quarter circle = $\frac{1}{4}\pi(6^{2}=9\pi$

The area of the rectangle = 12 × 2 = 24

The area of the figure = 18π + 9π + 24 = 108.78 ≅ 109 cm. square

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