Question

AB=5x + 10

BC=x + 38

Given: B is the midpoint of line segment AC
Prove:
x = 7

Answer 1

Given: B is the midpoint of line segment AC.

Segment Additon: AB+BC=AC

Given: AB=5x + 10 and BC=x + 38

Symmetric Property: AB=BC

congruent property: 5x+10=x+38

Subtraction property: 4x+10=38

Subtraction property: 4x=28

Disivion property: x=7