MATH SOLVE

4 months ago

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

Accepted Solution

A:

Answer:[tex]GQ =25[/tex] --- GoTVStep-by-step explanation:Given[tex]GQ = 2x + 3[/tex][tex]GH= 5x - 5[/tex]RequiredFind GQSince Q is the midpoint, then:[tex]GH = 2 * GQ[/tex]This gives:[tex]5x - 5 = 2[2x+3][/tex]Open bracket[tex]5x - 5 = 4x+6[/tex]Collect like terms[tex]5x - 4x = 5+6[/tex][tex]x =11[/tex]We have:[tex]GQ =2x+3[/tex]This gives:[tex]GQ =2*11+3[/tex][tex]GQ =25[/tex]