Question

trapezoid x is a scaled copy of trapezoid w. what is the value of v?

Explanation:

Step1: Find the scale factor

Since trapezoid \(X\) is a scaled copy of trapezoid \(W\), the scale factor \(k\) can be found by comparing the corresponding sides. The top - side of trapezoid \(W\) is \(0.8\) and the top - side of trapezoid \(X\) is \(1.4\). So, \(k=\frac{1.4}{0.8}=\frac{14}{8}=\frac{7}{4} = 1.75\)

Step2: Calculate the value of \(v\)

The non - parallel side of trapezoid \(W\) is \(3\). To find the non - parallel side \(v\) of trapezoid \(X\), we use the formula \(v=\text{side of }W\times k\). Substitute \(k = 1.75\) and the side of \(W = 3\) into the formula: \(v=3\times1.75=\frac{3\times7}{4}=\frac{21}{4}=5.25\)

Answer:

\(5.25\)