Question

find the measure of (overline{hj}). the diagram shows a collinear line segment with points ( h ), ( j ), ( k ), where the length from ( h ) to ( k ) is ( 12.2 ) ft and from ( j ) to ( k ) is ( 3.1 ) ft.

Explanation:

Step1: Identify the segment addition

We know that \( HK = HJ + JK \), so to find \( HJ \), we can rearrange this as \( HJ = HK - JK \).

Step2: Substitute the known values

Given \( HK = 12.2 \) ft and \( JK = 3.1 \) ft, substitute these into the formula: \( HJ = 12.2 - 3.1 \).

Step3: Perform the subtraction

Calculate \( 12.2 - 3.1 = 9.1 \).

Answer:

The measure of \( \overline{HJ} \) is \( 9.1 \) feet.