Answer:
AC=22
Step-by-step explanation:
If point B in somewhere along a segment between the points A and C, then it means that AB + BC = AC.
A---------------------------------C
A------------B-------------------C
AB + BC = AC
This means that we can write an equation:
4x-6(AB) + 4(BC) = 2x+10 (AC)
Which we can now solve for x:
(4x-6)+4=2x+10
Take out of brackets:
4x-6+4=2x+10
Combine like terms:
4x-2=2x+10
Move x terms to one side and other terms to the other:
4x-2x=10+2
Combine:
2x=12
Solve:
x=6
Now we can just substitute the x into the original AC equation to find its numerical length:
AC=2x+10
AC=2(6)+10
AC=12+10
AC=22
Hope this helped!
