sociallyawkward02 sociallyawkward02

01-09-2017
Mathematics

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

What is the length of GQ?

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____ units

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coolstick coolstick

01-09-2017

Since point Q is the midpoint of GH, that means that GH-GQ=HQ=GQ (since Q is the midpoint). Plugging them in, we get 5x-5-(2x+3)=3x-8=GQ=HQ. Since Q is the midpoint, that means that 3x-8=2x+3=GQ=HQ. Subtracting 2x from both sides as well as adding 8, we get that x=11 and 2(11)+3=25=GQ by plugging x into 2x+3

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