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Given ABCDE ~ LMNOP and CD = 16, DE = 18, and NO = 12, what is OP?

Verified Answer :

ABCDE and LMNOP are similar.
This means that each correspondingĀ side scales by the same amount from one to the other.

AB scales to LM just as BC does to MN...

and CD to NO just as DE does to OP!

Now, let's make a proportion.

NO/CD = OP/DE

12/16 = OP/18

Simplify...

3/4 = OP/18

13.5 = OP