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Given that the triangles shown below are similar, what is the value of x?25D31°31°M15AL 3 EA. 5B. 15C. 10D. 1.8

Given that the triangles shown below are similar, what is the value of x?25D31°31°M-example-1

1 Answer

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According to the given information, the triangles are similar, which means that the following proportion can be stated:


(MS)/(MA)=(LD)/(LE)

Replace for each value:


(25)/(15)=(x)/(3)

Solve the proportion for x:


\begin{gathered} 3\cdot(25)/(15)=x \\ x=(25)/(5) \\ x=5 \end{gathered}

x has a value of 5. According to this, the correct answer is A. 5.

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