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adell [148]
3 years ago
12

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

Mathematics
1 answer:
Mamont248 [21]3 years ago
3 0

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

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