Question

Find AB using the segment addition postulate. Show all work in setting up and solving your equation.

Answer 1

AB = 12

Explanation:

Segment addition postulate,

AC = AB + BC

24 = 2x+6+5x-3

Adding the like terms,

7x+3 = 24

Subtract 3 from both sides,

7x = 24-3

7x = 21

Divide by 7,

x = 21/7

x = 3

AB = 2x+6

AB = 2*3 + 6

AB = 6 + 6

AB = 12