Question

point j is on line segment ik. given jk = 5 and ij = 10, determine the length ik.

Explanation:

Step1: Recall segment - addition postulate

If point J is on line - segment $\overline{IK}$, then $IK = IJ+JK$.

Step2: Substitute given values

Given $IJ = 10$ and $JK = 5$, we substitute these values into the formula: $IK=10 + 5$.

Step3: Calculate the length

$IK=15$.

Answer:

15