Question

solve for x. round your answer to the nearest tenth if necessary.
answer attempt 1 out of 2
x =
submit answer

Explanation:

Step1: Use the basic proportionality theorem (Thales' theorem)

Since \( QR\parallel PN\), we have the proportion \(\frac{x}{9.1}=\frac{13.6}{11.4}\).

Step2: Solve the proportion for \(x\)

Cross - multiply: \(11.4x = 13.6\times9.1\).
First, calculate \(13.6\times9.1=123.76\).
Then, \(x=\frac{123.76}{11.4}\).
\(x=\frac{1237.6}{114}\approx10.9\).

Answer:

\(x = 10.9\)