Question

10. What value of I would make the quadrilateral a parallelogram? Round your answer to the nearest tenth. E F 17.x - 29 12r - 8 H 8x + 17 G AO I = 4.2 B. x= 5.1 CO x = 7.5 D.O x = 6.3​

Answer 1

A

Explanation:

Math

Answer 2

Answer: Choice A) x = 4.2

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Work Shown:

If we want this figure to be a parallelogram, then the opposite sides EH and FG must be the same length.

Let's use that fact to solve for x.

EH = FG

17x-29 = 12x-8

17x-12x = -8+29

5x = 21

x = 21/5

x = 4.2; answer is choice A

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Extra info:

If x = 4.2, then,

• EH = 17x-29 = 17*4.2-29 = 42.4
• FG = 12x-8 = 12*4.2-8 = 42.4

Both EH and FG are 42.4 units long which helps confirm the answer.