Question

cdefg ~ yuvwx. find ef and wx.
write your answers as decimals or whole numbers.
ef =
wx =

Explanation:

Step1: Find the scale factor

Since \( CDEFG \sim YUVWX \), the ratio of corresponding sides is equal. The side \( CD = 36 \) corresponds to \( YU = 18 \). So the scale factor from \( CDEFG \) to \( YUVWX \) is \( \frac{18}{36}=\frac{1}{2} \), and from \( YUVWX \) to \( CDEFG \) is \( 2 \).

Step2: Find \( EF \)

The side \( VW = 23 \) corresponds to \( EF \). Using the scale factor (from \( YUVWX \) to \( CDEFG \) is \( 2 \)), we have \( EF=23\times2 = 46 \).

Step3: Find \( WX \)

The side \( FG = 30 \) corresponds to \( WX \). Using the scale factor (from \( CDEFG \) to \( YUVWX \) is \( \frac{1}{2} \)), we have \( WX = 30\times\frac{1}{2}=15 \).

Answer:

\( EF = 46 \)
\( WX = 15 \)