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wx is dilated by a scale factor of 1/3 to form wx. wx measures 36. what is the measure of wx?
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Explanation:

Step1: Recall dilation formula

When a line - segment is dilated by a scale factor \(k\), the length of the new line - segment \(L'\) and the original line - segment \(L\) are related by the formula \(L'=kL\). Here, \(k = \frac{1}{3}\) and \(L = 36\).

Step2: Calculate the length of the dilated line - segment

We substitute \(k=\frac{1}{3}\) and \(L = 36\) into the formula \(L'=kL\). So \(L'=\frac{1}{3}\times36\).
\[L' = 12\]

Answer:

12