Question

I need help with 14 I do t get it

Answer 1

x = 43, AB = 49, BC = 49 and AC =98.

Solution:

Given data:

AC = 3x - 31  and AB = x + 6

B is the midpoint of AC.

Therefore AB = BC .

BC = x + 6

AB + BC = AC

x + 6 + x + 6 = 3x - 31

2x + 12 = 3x - 31

Add 31 on both sides, we get

2x + 43 = 3x

Subtract 2x from both sides, we get

43 = x

AB = x + 6

     = 43 + 6

AB = 49

BC = 49

AC = 3x - 31

     = 3(43) - 31

     = 129 - 31

AC = 98

Therefore x = 43, AB = 49, BC = 49 and AC =98.