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the segment below is the image of \\( \overline { w x } \\) after dilation by a scale factor of 5. what is the measure of \\( \overline { w x } \\)?

Explanation:

Step1: Recall the dilation formula

The formula for dilation is \( \text{Image length}=\text{Scale factor}\times\text{Original length}\). Let the length of \( \overline{WX}\) be \( x\). Here, image length \( = 60\), scale factor \( = 5\). So, \( 60 = 5\times x\).

Step2: Solve for \( x\)

To find \( x\), we use the equation \( x=\frac{60}{5}\).

Answer:

\(12\)