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math homework: polygon b is a scaled copy of polygon a. what is the val…

Question

math
homework: polygon b is a scaled copy of polygon a.
what is the value of c

Explanation:

Step1: Find the scale - factor

Since polygon B is a scaled - copy of polygon A, we can find the scale - factor by comparing corresponding side lengths. Let's use the horizontal side lengths. The horizontal side of polygon A is 15 and of polygon B is 6. The scale - factor $k=\frac{6}{15}=\frac{2}{5}$.

Step2: Find the value of c

We use the scale - factor to find the value of c. The vertical side of polygon A is 35. To find the corresponding side c of polygon B, we multiply the side - length of polygon A by the scale - factor. So $c = 35\times\frac{2}{5}$.
$c=\frac{35\times2}{5}=14$.

Answer:

14