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Find the length of KL in the trapezoid below.

Find the length of KL in the trapezoid below.-example-1

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Use the following:

HI = (1/2)(KL + MN)

5x + 2 = (1/2)(4x + 1 + 27)

5x + 2 = (1/2)(4x + 28)

5x + 2 = 2x + 14

5x - 2x = 14 - 2

3x = 12

x = 12/3

x = 4

However, the value of x is not the distance KL. We now evaluate KL at x = 4.

KL = 4x + 1

KL = 4(4) + 1

KL = 16 + 1

KL=17

The answer is choice D.

User Riddhesh Sanghvi
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