Given that B is between A and C, and AB=5x-8, ,BC=2x+4, and AC=17, find BC

Answer 1

Since B is between A and C then AB + BC = AC

We can replace with the values defined in the problem (AB = 5x-8), (BC = 2x+4) and AC = 17:

5x-8 + 2x + 4 = 17

solving for x:

7x -4 = 17

7x = 21

x = 3

substitute 3 for x in equation for BC = 2(3)+4 = 10