sativalyn311 sativalyn311
  • 29-03-2022
  • Mathematics
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The following diagram shows two similar triangles, ALJK - AOMN. What is the missing value of

The following diagram shows two similar triangles ALJK AOMN What is the missing value of class=

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xiaoying13 xiaoying13
  • 29-03-2022

Answer:

Step-by-step explanation:

Similar triangles have corresponding sides equal and also angles are congruent.

Therefore a* = 88* , b* = 40*, c* = 52*

[tex]\frac{JL}{MO} = \frac{JK}{MN} = \frac{KL}{ON}[/tex]

[tex]\frac{14}{21} = \frac{18}{y} = \frac{15}{x}[/tex]

Solving this,

[tex]\frac{14}{21} = \frac{18}{y}[/tex]

y = (21 * 18) / 14

y = 27

[tex]\frac{14}{21} = \frac{15}{x}[/tex]

x = (15 * 21) /14

x = 22.5

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