What is the length of cd in this diagram abc ~ edc.

B) 3

Step-by-step explanation:

Using the similarity statement, we know that the corresponding sides are AB and ED; AC and EC; BC and DC.  

The ratio of sides AB and ED is unknown, since we do not know either side.

The ratio of sides AC and EC is 18/6.

The ratio of sides BC and CD is (12-x)/x.

Since the triangles are similar, the ratio of corresponding sides is equal; this means we can set up a proportion:

Cross-multiplying, we have

18(x) = 6(12-x)

Using the dsitributive property, we have

18x = 6(12)-6(x)

18x = 72 - 6x

Adding 6x to each side,

18x+6x = 72-6x+6x

24x = 72

Divide both sides by 24:

24x/24 = 72/24

x = 3

Since the length of CD is x, this means the length of CD is 3.

555.99.

step-by-step explanation:

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