Question

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

Answer 1

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

The length of GQ is 25 units, its also the answer on k12

Explanation:

Answer 2

now, we have something like

G------------------Q------------------H
GQ QH

we know that Q is the midpoint of GH, that means Q is cutting GH into two equal halves, meaning GQ = QH.

because the two halves are the same length, if we add them both, we'd end up with GH, so then GQ + GQ = GH, namely GQ twice, two halves worth.

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

4x + 6 = 5x - 5

11 = x

well, we know GQ = 2x + 3, so then 2(11) + 3, or just 22 + 3.