Question

e is the midpoint of $overline{df}$, $de = 3x + 4$ and $ef = 5x - 2$. find $de$, $ef$, and $df$.
13, 13, 26
3, 3, 6
7, 7, 14
9, 9, 18

Explanation:

Step1: Set DE=EF (midpoint property)

$3x + 4 = 5x - 2$

Step2: Solve for x

$2x = 6 \implies x = 3$

Step3: Calculate DE

$DE = 3(3) + 4 = 13$

Step4: Calculate EF

$EF = 5(3) - 2 = 13$

Step5: Calculate DF

$DF = DE + EF = 13 + 13 = 26$

Answer:

A. 13, 13, 26