Question

Find the value of x if C is the midpoint of line segment AB, AC=4x+5, and
AB=78?

Answer 1

x = 8.5

Explanation:

AC + CB = AB

As C is the midpoint AC = CB = 4X + 5

AC + CB = AB

4x + 5 + 4x + 5 = 78

4x + 4x + 5 + 5 = 78 {Combine like terms}

8x + 10 = 78 {Subtract 10 from both sides}

8x = 78 - 10

8x = 68

x = 68/8

x = 8.5