Question

hexagon u is a scaled copy of hexagon t. what is the value of v?

Explanation:

Step1: Determine the scale factor

Since hexagon \(U\) is a scaled copy of hexagon \(T\), the ratio of corresponding sides is the same. Let the scale factor \(k=\frac{\text{side of }U}{\text{side of }T}\). Using the top - side lengths: \(k = \frac{16}{10}\)

Step2: Use the scale factor to find \(v\)

We know that \(v\) (a side of \(U\)) and \(25\) (the corresponding side of \(T\)) are related by \(v=k\times25\). Substitute \(k = \frac{16}{10}\) into the equation: \(v=\frac{16}{10}\times25\)

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Answer:

\(40\)