Answer:
The value of x = 4 if A, B, and C are collinear points and B is between A and C.
Step-by-step 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
[tex]AC = AB+BC\\23=6x+x-5\\23=7x-5\\7x=23+5\\7x=28\\x=\frac{28}{7}\\x=4[/tex]
The value of x = 4 if A, B, and C are collinear points and B is between A and C.
