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In the figure, ΔABC~ΔADE. Find the length of line segment DE.

In the figure, ΔABC~ΔADE. Find the length of line segment DE.
asked 49.7k views
8 votes
In the figure, ΔABC~ΔADE. Find the length of line segment DE.

In the figure, ΔABC~ΔADE. Find the length of line segment DE.-example-1
asked
User Shane Jones
by
7.5k points

1 Answer

6 votes

Answer:

13

Explanation:


\triangle ABC \sim \triangle ADE => (x)/(x+10)=(x+3)/(x+16)=>x^(2)+16x=x^(2)+13x+30=>3x=30=>x=10\\DE=x+3=>DE=13

answered
User Angelo Giuffredi
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8.1k points
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