Question

If AC = 150, AB = 4x+34 and BC = 6x+6, what is the value of x?

Answer 1

x = 11

Explanation:

If we assume that points A, B, and C are on the same line with B between A and C, then we have ...

AB +BC = AC

(4x +34) +(6x +6) = 150 . . . . use the given expressions

10x +40 = 150 . . . . . . . . . . . . collect terms

10x = 110 . . . . . . . . . . . . . . . . subtract 40; next, divide by 10

x = 11