Answer: If Q is the midpoint of GH, then the length of the measure of GQ is 25
Midpoint is the point that divides the line into two equal parts.
If Q is the midpoint of GH, then the length of the measure of GQ is 25
If Q is the midpoint of G and H, this shows that:
GQ = QH
GQ + QH = GH
Given the following measures
GQ=2x+3
GH=5x−5
Substitute equation 1 into 2 to have:
GQ + GQ = GH
2GQ = GH
2(2x+3) = 5x - 5
4x + 6 = 5x - 5
Collect the like terms
4x - 5x = -5 - 6
-x = -11
x = 11
Get the length of GQ
Recall that GQ = 2x+3
Substitute the value of x into the expression to have:
GQ = 2(11) + 3
GQ = 22 + 3
GQ = 25
Hence the length of the measure of GQ is 25
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