Question

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Answer 1

GQ = 25

Explanation:

Given that Q is the midpoint of GH , then

GQ = QH = 2x + 3 and

GH = GQ + QH, that is

5x - 5 = 2x + 3 + 2x + 3

5x - 5 = 4x + 6 ( subtract 4x from both sides )

x - 5 = 6 ( add 5 to both sides )

x = 11

Thus

GQ = 2x + 3 = 2(11) + 3 = 22 + 3 = 25

Answer 2

25 units

Explanation:

GH = 2GQ

5x - 5 = 2(2x + 3)

5x - 5 = 4x + 6

x = 11

GQ = 2(11) + 3 = 25