Question

in the diagram below, (overline{no}) is parallel to (overline{kl}). solve for (x). round your answer to the nearest tenth if necessary.

Explanation:

Step1: Apply Triangle Proportionality Theorem

$\frac{x}{11.6} = \frac{30.9}{23.1}$

Step2: Isolate x by cross-multiplying

$x = \frac{30.9 \times 11.6}{23.1}$

Step3: Calculate the value

$x = \frac{358.44}{23.1} \approx 15.5$

Answer:

15.5