Question

Find the value of x if A, B, and C are collinear points and B is between A and C. AB=6x,BC=x−5,AC=23

Answer 1

The value of x = 4 if A, B, and C are collinear points and B is between A and C.

Explanation:

We need to find the value of x if A, B, and C are collinear points and B is between A and C.

We have AB=6x,BC=x−5,AC=23

If points are collinear and B is between A and C we can write:

AC=AB+BC

Putting values and finding value of x

`AC = AB+BC\\23=6x+x-5\\23=7x-5\\7x=23+5\\7x=28\\x=(28)/(7)\\x=4`

The value of x = 4 if A, B, and C are collinear points and B is between A and C.