Question

If line y bisects AC, AB = 4-5x, and BC =2x+25, find AC

Answer 1

38

Explanation:

If line y bisects AC at B

Bisect means divide a line into two equal parts.

Therefore, AB=BC

where, AB = 4-5x and BC = 2x+25

4-5x = 2x+25

-7x = 21

x = -3

Thus,

AB = 4-5x

= 4-5(-3)

= 19

BC = 2x+25

= 2(-3) + 25

= 19

AC = AB+BC

= 19 + 19

= 38

Hence, The length of AC is 38