Question

question
\overline{no} is dilated by a scale factor of \frac{1}{3} to form \overline{no}. \overline{no} measures 15. what is the measure of \overline{no}?
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Explanation:

Step1: Recall dilation formula

When a segment is dilated by a scale factor \( k \), the length of the dilated segment is \( k \times \) original length. Here, scale factor \( k=\frac{1}{3} \) and original length \( NO = 15 \).

Step2: Calculate \( N'O' \) length

\( N'O'=\frac{1}{3}\times NO \)
Substitute \( NO = 15 \): \( N'O'=\frac{1}{3}\times15 \)
Simplify: \( N'O' = 5 \)

Answer:

5