Question

v is the midpoint of $overline{uw}$. if $uv = 2x$ and $vw=x + 1$, what is $vw$? simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Set up equation

Since V is mid - point, $2x=x + 1$.

Step2: Solve for x

Subtract x from both sides: $2x−x=x + 1−x$, so $x = 1$.

Step3: Find VW

Substitute x = 1 into $VW=x + 1$, then $VW=1 + 1=2$.

Answer:

2