Question

C is the midpoint of AB . AC=2x +2 and AB=8x. Set up an equation and showing all steps, solve for x and length CB.

Answer 1

See the attached drawing for a visual.

Since we know that AC = CB is half the length of AB, we can write that in equation form. The goal is to determine the length of
`CB = AC = 2x+2`

`2x+2 =(1)/(2) (8x)`

`2x+2 = 4x`

`2x = 2`

`x=1`

Now that we know the value of
`x`, we can find the value of
`CB = 2x+2`:

`CB = 2x+2`

`CB = 2(1)+2`

`CB = 4`