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Geometry question!!

Point Q is the midpoint of GH. GQ=2x+3, and GH=5x−5 .


What is the length of GQ ?

1 Answer

6 votes

Answer:

GQ=25 units

Explanation:

we know that

Point Q is the midpoint of GH

so

GH=GQ+QH and GQ=QH

GH=2GQ -------> equation A

we have

GH=5x-5

GQ=2x+3

substitute in the equation A and solve for x

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

5x-5=4x+6

5x-4x=6+5

x=11

Find the length of GQ

GQ=2x+3

substitute the value of x

GQ=2(11)+3

GQ=25 units

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