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Segment BD is parallel to segment CE. If AB = 4, AC = 6, and AD = 7, what is AE?

Segment BD is parallel to segment CE. If AB = 4, AC = 6, and AD = 7, what is AE?
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Segment BD is parallel to segment CE. If AB = 4, AC = 6, and AD = 7, what is AE?

Segment BD is parallel to segment CE. If AB = 4, AC = 6, and AD = 7, what is AE?-example-1
asked
User Jamie Pate
by
8.7k points

1 Answer

2 votes

Answer:

B. 10.5

Explanation:

If BD║CE then ΔADB and ΔAEC a similar triangles

so:


(AE)/(AD)=(AC)/(AB)\\\\(AE)/(7)=(6)/(4)\\\\AE=\frac32\cdot7\\\\AE=\frac{21}2\\\\AE=10.5

answered
User Adriena
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8.3k points
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