Question

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

Answer 1

The answer is 25

Explanation:

K12 FAM

Answer 2

As given Q is the midpoint of GH. SO it will divide GH in two equal parts. We can also say GQ is half of GH.

So we can write


`GQ = (GH)/(2)`

As given GQ = 2x+3 , GH = 5x - 5


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


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


`4x + 6 = 5x - 5`


`6+5 = 5x - 4x`

11 = x

So GQ = 2x+ 3 = 2*11 + 3 = 25