Question

point u is on line segment $overline{tv}$. given $tv = 7$ and $tu = 2$, determine the length $overline{uv}$.

Explanation:

Step1: Use segment - addition postulate

Since point U is on line segment $\overline{TV}$, we know that $TV=TU + UV$.

Step2: Solve for UV

We can rewrite the equation as $UV=TV - TU$.
Substitute $TV = 7$ and $TU = 2$ into the equation: $UV=7 - 2$.

Answer:

$5$