Question

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

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 formula as $EF=DF - DE$. Given $DF = 19$ and $DE = 4$, we substitute the values: $EF=19 - 4$.

Step3: Calculate the result

$EF = 15$.

Answer:

$15$