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  • 20-08-2019
  • Mathematics
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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 ?

Respuesta :

calculista
calculista calculista
  • 30-08-2019

Answer:

GQ=25 units

Step-by-step 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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