Question

1. if df = 51 and ef = 32, then de = ? figures shown are not drawn to scale.

Explanation:

Step1: Identify segment - addition postulate

By the segment - addition postulate, $DF=DE + EF$.

Step2: Solve for $DE$

We can rewrite the formula as $DE=DF - EF$. Given $DF = 51$ and $EF = 32$, then $DE=51 - 32$.
$DE=19$

Answer:

$19$