Question

Point B is on line segment AC. Given AB= 4X-10, BC=x+2, AC= 27. Solve for x and

use it to determine the numerical length of BC.

Answer 1

Step-by-step explanation:

that just means that the sum of both line segments must be the same as the length of the whole line.

4x - 10 + x + 2 = 27

5x - 8 = 27

5x = 35

x = 7

so,

AB = 4×7 - 10 = 28 - 10 = 18

BC = 7 + 2 = 9