Question

B is the midpoint of AC. Find the value of x and the length of AB given

AB = 5x - 9 and BC = 3x - 1

Answer 1

11

Explanation:

AB and BC are equal. I mid point divides a segment into 2 equal pieces.

5x - 9 = 3x - 1 Subtract 3x from both sides

5x - 3x - 9 = 3x - 3x - 1 Combine

2x - 9 = - 1 Add 9 to both sides

2x - 9 + 9 = - 1 + 9 Combine

2x = 8 Divide by 2

2x/2 = 8/2

x = 4

AB length

5x - 9 = 5*4 - 9 = 20 - 9 = 11

AB = 11