Respuesta :

Answer:

AC = 21

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;

[tex]21x = 11+11x-1\\21x = 10+11x\\[/tex]

Subtracting 11x from both sides;

[tex]21x-11x = 10+11x-11x\\10x = 10\\x = 1[/tex]

Since AC = 21x

substituting x = 1 into AC,

AC = 21(1)

AC = 21