Question

If points a,b,c,d and ,e are collinear and in that order. Find AC if AE = x+50 and CE=x+32

Answer 1

By the segment addition postulate,
AC + CE = AE so AC = AE - CE
AC = (x+50) - (x+32)
AC = x+50-x-32
AC = 18

Answer 2

Answer:

Hence, we get:   AC= 18

Step-by-step explanation:

It is given that:

A,B,C,D and E are  collinear and in that order.

Also, we are asked to find the length of the line segment AC.

given that the length of the line segment AE is:

           AE=x+50

and the length of the line segment CE is given by:

           CE=x+32

Now we know that:

the length of the line segment AC is length of line segment AE minus the length of the line segment CE.

i.e.

$AC=AE-CE\\\\AC=x+50-(x+32)$

on opening the parentheses term we have:

$AC=x+50-x-32\\\\AC=x-x+50-32\\\\AC=0+18\\\\AC=18$