Question

point j is on line segment (overline{ik}). given (jk = 5) and (ij = 10), determine the length (overline{ik}).

Explanation:

Step1: Recall segment addition postulate

If a point \( J \) is on line segment \( \overline{IK} \), then \( IK = IJ + JK \).

Step2: Substitute given values

We know \( IJ = 10 \) and \( JK = 5 \). Substitute these into the formula: \( IK = 10 + 5 \).

Step3: Calculate the sum

\( 10 + 5 = 15 \).

Answer:

The length of \( \overline{IK} \) is \( 15 \).