myfriendsareawesome9
myfriendsareawesome9 myfriendsareawesome9
  • 12-02-2020
  • Mathematics
contestada

Show your work and plz help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Show your work and plz help me class=

Respuesta :

jimrgrant1 jimrgrant1
  • 12-02-2020

Answer:

p = 16

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{FD}{HF}[/tex] = [tex]\frac{DE}{FG}[/tex] , substitute values

[tex]\frac{p}{12}[/tex] = [tex]\frac{32}{24}[/tex] ( cross- multiply )

24p = 384 ( divide both sides by 24 )

p = 16

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