RafealJ616157 RafealJ616157
  • 25-10-2022
  • Mathematics
contestada

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

Respuesta :

NedO573496 NedO573496
  • 25-10-2022

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

[tex]\frac{MJ}{DA}=\frac{JK}{AB}\text{.}[/tex]

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

[tex]\frac{7}{5}=\frac{x}{7}.[/tex]

Multiplying the above equation by 7 we get:

[tex]\begin{gathered} \frac{7}{5}\times7=\frac{x}{7}\times7, \\ \frac{49}{5}=x\text{.} \end{gathered}[/tex]

Answer:

[tex]x=9.8.[/tex]

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