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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

100 Points! Geometry question. Photo attached. Please show as much work as possible-example-1
User Mike Dubs
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Answer:

Explanation:

According to the triangle proportionality theorem (or thales theorem), the lines are parallel if AD/BD = AE/CE

15/12= 1.25

10/8 = 1.25

Because the ratios are equal, the lines are parallel to each other.

User Manish Khandelwal
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