alianna20051 alianna20051
  • 15-03-2021
  • Mathematics
contestada

The two triangles are similar. What is the value for the ? ? Round to the nearest tenth if necessary.

L 28 35° K J ? R 42 35° P 33​

The two triangles are similar What is the value for the Round to the nearest tenth if necessary L 28 35 K J R 42 35 P 33 class=

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olayemiolakunle65
olayemiolakunle65 olayemiolakunle65
  • 20-03-2021

Answer:

KJ = 22

Step-by-step explanation:

From the given diagram, since the figure are similar we can compare their sides.

So that,

[tex]\frac{JL}{PR}[/tex] = [tex]\frac{JK}{PQ}[/tex]

Let KJ be represented by x. But;

JL = 28, PR = 42 and PQ = 33

Thus,

[tex]\frac{28}{42}[/tex] = [tex]\frac{x}{33}[/tex]

x = [tex]\frac{28*33}{42}[/tex]

  = [tex]\frac{924}{42}[/tex]

  = 22

x = 22

The n,

KJ = 22

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