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: 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. Log in to Reply

Answer:The value of

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