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Mathematics

Answered

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? class=

Answer :

unicorn3125 unicorn3125

Today at 5:57 AM

Answer:

B. 10.5

Step-by-step explanation:

If BD║CE then ΔADB and ΔAEC a similar triangles

so:

[tex]\frac{AE}{AD}=\frac{AC}{AB}\\\\\frac{AE}{7}=\frac{6}{4}\\\\AE=\frac32\cdot7\\\\AE=\frac{21}2\\\\AE=10.5[/tex]

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