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in the diagram below, (overline{no}) is parallel to (overline{kl}). sol…

Question

in the diagram below, (overline{no}) is parallel to (overline{kl}). solve for ( x ). round your answer to the nearest tenth if necessary.
answer
attempt 1 out of 2
( x = )
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Explanation:

Step1: Apply Basic Proportionality Theorem

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

Step2: Isolate $x$ via cross-multiplication

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

Step3: Calculate the final value

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

Answer:

15.5