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hexagon l is a scaled copy of hexagon k. what is the value of m?

Question

hexagon l is a scaled copy of hexagon k. what is the value of m?

Explanation:

Step1: Find the scale - factor

Since hexagon L is a scaled copy of hexagon K, we can find the scale - factor by comparing corresponding sides. Let's use the sides of length 17 and 34. The scale - factor $k=\frac{34}{17}=2$.

Step2: Calculate the value of m

The side of length 19 in hexagon K corresponds to side m in hexagon L. Using the scale - factor, we have $m = 19\times k$. Substituting $k = 2$, we get $m=19\times2 = 38$.

Answer:

38