Question

Points A, B, and C are collinear. Point B is between A and C. Solve for x Find AC if BC=11x-1, AC=21x, and AB=11. A) 17 B) 22 C) 21 D) 16

Answer 1

AC = 21

Explanation:

Collinear points are points are points that lies on the same line. If point B is between A and C, then AC = AB+BC

Given AC = 21x, AB = 11 and BC = 11x-1, in order to find the value of x, we will substitute the given parameters in the relationship above to have;

`21x = 11+11x-1\\21x = 10+11x\\`

Subtracting 11x from both sides;

`21x-11x = 10+11x-11x\\10x = 10\\x = 1`

Since AC = 21x

substituting x = 1 into AC,

AC = 21(1)

AC = 21