Question

in the diagram, tq is 18 units in length what is the length of \\( \overline { r s } \\)? 16 units 18 units 25 units 46 units

Explanation:

Step1: Use the property of perpendicular bisector

Since line \( l \) is the perpendicular bisector of \( RQ \), \( RS = QS \). So \( 2x + 10=9x - 11 \).

Step2: Solve the equation for \( x \)

$$
LATEXBLOCK0
$$

Step3: Calculate the length of \( RS \)

Substitute \( x = 3 \) into \( RS=2x + 10 \). Then \( RS=2\times3+10=6 + 10=16 \) units.

Answer:

16 units