Question

Please Help!! This is Geometry.​

Answer 1

If M is the midpoint of PQ, then PM and MQ are equal.

As PM and MQ are given , equal them to each other to solve for x.

7x+8=5x+20

Subtract 5x on both sides to get 2x+8=20

Subtract 8 on both sides to get 2x=12

divide by 2 on both sides to get x=6

Use the value of x=6 and plug it into the equations for PM and MQ to find their value.

PM=7x+8

=7(6) 8 =42 + 8 = 50

(you can already tell MQ is also 50 as PM and MQ are equal, but we still solve for MQ just for the fun of it)

MQ=5x + 20

=5(6) +20=30+20=50

PM=50

MQ=50

PQ= PM + MQ= 50 + 50 = 100

Have a great night.