Question

Find X, AB, BC, AC if B is the midpoint of AC

Answer 1

Step-by-step explanation:

it all starts with the understanding that "midpoint" means that the line segments on both sides have the exact same length.

this is the same as "cut a pizza or a cake in half".

therefore, we know

10x + 1 = 8x + 13

2x + 1 = 13

2x = 12

x = 6

AB = 10x + 1 = 10×6 + 1 = 60 + 1 = 61

BC = AB but to control : 8×6 + 13 = 48+13 = 61

correct.

AC = AB + BC = 61 + 61 = 122