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Degger [83]
3 years ago
6

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
Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
8 0

Answer:

<h2>AC = 21</h2>

Step-by-step 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

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