Question

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

Answer 1

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

$GQ = \frac{GH}{2}$

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

$2x + 3 = \frac{5x - 5}{2}$

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

$4x + 6 = 5x - 5$

$6+5 = 5x - 4x$

11 = x

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