Respuesta :

JennyTheBest813

Answer:

x=20 and y=70/3

Step-by-step explanation:

We know triangle DEF is similar to triangle HJG. So:

  • DE is similar to HJ
  • EF is similar to JG
  • FD is similar to GH.

We know:

  • DE=9, which is similar to 15
  • EF=14, which is similar to y
  • FD=12, which is similar to x

The ratio of DE:HJ=EF:JG=FD:GH. We know DE:HJ=9:15=3:5, now we can find x and y:

  • DE:HJ=9:15=3:5
  • EF:JG=14:y=3:5, so y is 70/3 because 14=42/3 and 42/3:70/3=3:5 as 42=14•3 and 70=14•5
  • FD:GH=12:x=3:5, so x is 20

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