Question

quiz: segment and angle addition (missed questions)
retry 1 of 1.

x = 12

the length of $overline{df}$ is 35. find the length of $overline{de}$.

draw

diagram: points d, e, f on a line; $overline{de}$ labeled $x + 2$, $overline{ef}$ labeled $2x + 3$

show your work here

enter your answer

Explanation:

Step1: Use segment addition postulate

The length of \( \overline{DF} \) is the sum of \( \overline{DE} \) and \( \overline{EF} \). So, \( (x + 2) + (2x + 3) = 35 \). But we know \( x = 12 \), so we can directly find \( DE \) by substituting \( x \) into \( x + 2 \).

Step2: Substitute \( x = 12 \) into \( DE = x + 2 \)

\( DE = 12 + 2 = 14 \)

Answer:

14