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the segment below is dilated by a scale factor of 3 to form \\( \overline { r ^ { \prime } s ^ { \prime } } \\). what is the measure of \\( \overline { r ^ { \prime } s ^ { \prime } } \\)?

Explanation:

Step1: Recall the dilation formula

When a segment is dilated, the length of the new segment \(L'\) is given by \(L'=k\times L\), where \(k\) is the scale factor and \(L\) is the original length.

Step2: Substitute the values

Here, \(k = 3\) and \(L=23\). So, \(L'=3\times23\).

Step3: Calculate the product

\(3\times23 = 69\).

Answer:

\(69\)