Question

find wx.
wx =

Explanation:

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

Since \( TU = 28\), \( UV=42\), and \( VW = 27\). The theorem states that \(\frac{TU}{UV}=\frac{WX}{VW}\).

Step2: Substitute the values into the proportion

Substitute \(TU = 28\), \(UV = 42\), and \(VW = 27\) into \(\frac{TU}{UV}=\frac{WX}{VW}\), we get \(\frac{28}{42}=\frac{WX}{27}\).

Step3: Solve for \(WX\)

Cross - multiply: \(42\times WX=28\times27\). Then \(WX=\frac{28\times27}{42}\). Simplify \(\frac{28\times27}{42}=\frac{28}{42}\times27=\frac{2}{3}\times27 = 18\).

Answer:

\(18\)