Question

AB = x - 10, BC = x + 2, and AC = 28. Find BC.

Please help!

Answer 1

BC = 20

Explanation:

Since line segment AC = 28, that means line segment AB and line segment BC must add up to 28:

x - 10 + x + 2 = 28

2x - 8 = 28

2x = 36

x = 18

Now we plug in x into segment BC's equation to find length of BC:

BC = x + 2

BC = 18 + 2

BC = 20

Answer 2

BC = 20

Explanation:

AC = AB + BC

28 = x-10 + x+2

Combine like terms

28 = 2x -8

Add 8 to each side

28+8 = 2x-8+8

36 = 2x

Divide by 2

36/2 = 2x/2

18 =x

We want to find BC

BC = x+2

=18+2

=20