sativalyn311 sativalyn311
  • 29-03-2022
  • Mathematics
contestada

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=

Respuesta :

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

Answer Link

Otras preguntas

What does ce mean in history?
what is weight measured in
The words "later on" are an example of a(n): additive transition adversative transition causal transition sequential transition
What is the LCM(Least common multiple) of 8 and 100
A weather station predicted the temperature on Saturday would be 85°f. If the actual temperature was 11° colder then their prediction, what temperature was it
Dr. Sox paid $1580 for a new computer system she also paid a 6.5% tax. How much was the tax? What is the total cost?
what kind of material forms white sand beaches
You can buy 2 DVDs for the same price you would pay for 3 CDs selling for $13.20 a piece.Explain how you could find the price of 1 DVD.
why did the citizens of Richmond, Virginia feel excited about the actions at Fort Sumter ?
How do you get -2x+3y>12 into y=mx+b form to graph? Does sign stay the same? Plz help