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MArishka [77]
3 years ago
6

Can someone pls help?

Mathematics
1 answer:
Sergio [31]3 years ago
5 0
<h3>Answer:  x = 4</h3>

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

Explanation:

Use the remote interior angle theorem. This says a pair of interior angles always add to the measure of the exterior angle that is not adjacent to any of the interior angles, so basically what your diagram is showing.

(interior angle C) + (interior angle D) = exterior angle

(46) + (-1+8x) = 18x+5

8x+45 = 18x+5

8x-18x = 5-45

-10x = -40

x = -40/(-10)

x = 4

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The trapezoid's area is 126 inch².

Step-by-step explanation:

Step 1:

The trapezoid's area is calculated by averaging the base lengths and multiplying it with the trapezoid's height.

The trapezoid's area, A = \frac{b_{1}+b_{2}}{2} h.

Here b_{1} is the lower base and b_{2} is the upper base, height is h.

Step 2:

In the given diagram,

b_{1} = 12 inches and b_{2}= 2+12+2=16 inches and h = 9 inches.

A = \frac{b_{1}+b_{2}}{2} h = \frac{12+16}{2} (9) = 14(9)= 126 inch².

So the given trapezoid's area is 126 inch².

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