Question

point c is on line segment bd. given bc = 7 and bd = 10, determine the length cd.

Explanation:

Step1: Recall segment - addition postulate

Since point C is on line segment BD, we have $BD=BC + CD$.

Step2: Solve for CD

We can rewrite the equation as $CD=BD - BC$.
Substitute $BC = 7$ and $BD = 10$ into the equation: $CD=10 - 7$.
$CD = 3$

Answer:

$3$