Question

The polygons below are similar, but not necessarily drawn to scale. Find x. 4 + 36 AM

Answer 1

Answer:

x = 20

Step-by-step explanation:

In similar polygons, all corresponding sides are proportional. The scale factor between AB and DE is the same as between AC and DF.

$\frac{DE}{AB}=\frac{DF}{AC}\\\\\frac{4+x}{4}=\frac{36}{6}\\\\6(4+x)=4(36)\\24+6x=144\\6x=120\\x=20$

You can confirm that by plugging it back into the original equation:

$\frac{4+x}{4}=\frac{36}{6}\\\\\frac{4+(20)}{4}=\frac{36}{6}\\\\\frac{24}{4}=\frac{36}{6}\\\\6=6$