Question

point u is on line segment $overline{tv}$. given $tu = 2$ and $tv = 16$, determine the length $uv$.

Explanation:

Step1: Recall segment - addition postulate

Since $U$ is on $\overline{TV}$, we have $TV=TU + UV$.

Step2: Solve for $UV$

We can rewrite the equation as $UV=TV - TU$.
Substitute $TU = 2$ and $TV = 16$ into the equation: $UV=16 - 2$.
$UV = 14$.

Answer:

14