Question

the bernice pauahi bishop museum in honolulu shares the natural and cultural history of hawaii with its visitors. leilani uses an aerial view of the museum’s property boundaries as a reference to make a map. the polygon in leilani’s map is a dilation of the polygon in the aerial view. what is the value of x, in centimeters? aerial view leilani’s map 9.6 cm 6.4 cm

Explanation:

Step1: Find the scale factor

The scale factor $k$ is the ratio of corresponding sides: $k = \frac{6.4}{9.6} = \frac{2}{3}$.

Step2: Calculate $z$

Multiply the corresponding side in aerial view by $k$: $z = 9.6 \times \frac{2}{3} = 6.4$.

Answer:

6.4