Answer:
GQ = 25
Step-by-step 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
