Question

question
point e is on line segment $overline{df}$. given $df = 19$ and $de = 4$, determine the length $overline{ef}$.

Explanation:

Step1: Recall segment - addition postulate

Since point E is on line segment $\overline{DF}$, we know that $DF=DE + EF$.

Step2: Solve for EF

We can rewrite the equation as $EF=DF - DE$.
Substitute $DF = 19$ and $DE = 4$ into the equation: $EF=19 - 4$.
$EF = 15$

Answer:

15