Question

Given Segment AC such that point B is between A and C. How long is AC?

IfAB =3(x + 4). BC = 4x + 3, and AC = 5x + 23.
1a. What is the value of x?
1b. How long is AB?

Answer 1

x = 4

AB= 24

Explanation:

AB = 3(x+4)

BC= 4x + 3

add AB + BC together

7x + 15 Then make that equals AC

7x + 15 = 5x + 23

-15

7x = 5x +8

- 5x

2x = 8

8/2 =4 x equals 4

(3 x 4) + (3 x 4) = 24 That's AB= 24