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The quadrilaterals ABCD and JKLM are similar.Find the length x of JK.DA=5MJ=7AB=7JK=x

User Inquiryqueue
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1 Answer

18 votes
18 votes

Since the quadrilaterals ABCD and JKLM are similar, we get that:


(MJ)/(DA)=(JK)/(AB)\text{.}

Substituting DA=5, MJ=7, AB=7, and JK=x we get:


(7)/(5)=(x)/(7).

Multiplying the above equation by 7 we get:


\begin{gathered} (7)/(5)*7=(x)/(7)*7, \\ (49)/(5)=x\text{.} \end{gathered}

Answer:


x=9.8.

User Tare Gaskin
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