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Given that ΔUVW is similar to ΔXYZ, find the length of ZX.

A) 14
B) 16
C) 18
D) 20

Given that ΔUVW is similar to ΔXYZ, find the length of ZX. A) 14 B) 16 C) 18 D) 20-example-1
User Mlevi
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2 Answers

5 votes
I got the same question and Im pretty sure its d. 20
User Shonni
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2 votes

Answer:

D. 20

Explanation:

We have been given that ΔUVW is similar to ΔXYZ and we are asked to find the length of ZX.

Since both triangles are similar, so their corresponding sides will be proportional. We will use proportions to solve our given problem as:


(ZX)/(WU)=(XY)/(UV)


(ZX)/(5)=(12)/(3)

Now, we will multiply both sides of our equation by 5.


(ZX)/(5)*5=(12)/(3)*5


ZX=4*5


ZX=20

Therefore, the length of ZX is 20 units and option D is the correct choice.

User Yushizhao
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