219k views
3 votes
The quadrilaterals ABCD and JKLM are similar.Find the length x of JK.DA=5MJ=7AB=7JK=x

1 Answer

1 vote

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 Joppo
by
8.1k points

Related questions

asked Oct 20, 2021 49.4k views
Eugene Kostrikov asked Oct 20, 2021
by Eugene Kostrikov
7.8k points
2 answers
1 vote
49.4k views
asked Jun 2, 2024 133k views
Cacsar asked Jun 2, 2024
by Cacsar
7.4k points
1 answer
1 vote
133k views