B is the midpoint of AC. Find the value of x and the length of AB given AB = 5x - 9 and BC = 3x - 1

11

Step-by-step 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