Question

point k is on line segment \\(\overline{jl}\\). given \\(kl = 5\\) and \\(jk = 7\\), determine the length \\(\overline{jl}\\).

Explanation:

Step1: Recall segment addition postulate

If a point \( K \) is on segment \( \overline{JL} \), then \( JL = JK + KL \).

Step2: Substitute given values

We know \( JK = 7 \) and \( KL = 5 \), so substitute these into the formula: \( JL = 7 + 5 \).

Step3: Calculate the sum

\( 7 + 5 = 12 \).

Answer:

\( 12 \)