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 $CB = AC = 2x+2$

$2x+2 =\frac{1}{2} (8x)$

$2x+2 = 4x$

$2x = 2$

$x=1$

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

$CB = 2x+2$

$CB = 2(1)+2$

$CB = 4$