Question

u is the midpoint of $overline{tv}$. if $tu = 2x$ and $uv=x + 5$, what is $tu$? simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Use mid - point property

Since U is the mid - point of $\overline{TV}$, then $TU = UV$. So, we set up the equation $2x=x + 5$.

Step2: Solve for x

Subtract x from both sides of the equation $2x=x + 5$. We get $2x−x=x + 5−x$, which simplifies to $x = 5$.

Step3: Find TU

We know that $TU = 2x$. Substitute $x = 5$ into the expression for TU. So, $TU=2\times5=10$.

Answer:

10