Question

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

Explanation:

Step1: Apply the Basic Proportionality Theorem (Thales' Theorem)

Since \(\angle TUV=\angle TRS\), \(UV\parallel RS\). By the Basic Proportionality Theorem, \(\frac{TU}{UR}=\frac{TV}{VS}\).
Substitute \(TU = x\), \(UR = 10.3\), \(TV=17.1\), and \(VS = 12.9\) into the proportion: \(\frac{x}{10.3}=\frac{17.1}{12.9}\).

Step2: Solve for \(x\)

Cross - multiply: \(12.9x=17.1\times10.3\).
First, calculate \(17.1\times10.3 = 176.13\).
Then, \(x=\frac{176.13}{12.9}\).
\(x = 13.7\).

Answer:

\(13.7\)