B is between a and c, AB=4x+10, BC=8x-18 and AC=40. find x, AB and BC

Answer 1

If we know that B is between A and C, and we know AB, BC, and AC then we can assume that AB+BC = AC.

In this case:

AB = 4x+10 , BC = 8x-18 , AC = 40

AB + BC = AC

1. (4x+10) + (8x-18) = 40
2. 12x - 8 = 40
3. 12x = 48
4. x = 4
5. AB = 4(4) +10 = 26
6. BC = AC - AB = 40 - 26 = 14