emy2004 emy2004
  • 13-04-2021
  • Mathematics
contestada

Find the value of x that makes ADEF - AXYZ.
6
2x - 5
F
22
14
IZ
12
X

Find the value of x that makes ADEF AXYZ 6 2x 5 F 22 14 IZ 12 X class=

Respuesta :

jimrgrant1 jimrgrant1
  • 13-04-2021

Answer:

x = 8

Step-by-step explanation:

For the triangles to be similar then the ratio of corresponding sides must be equal, that is

[tex]\frac{DF}{XZ}[/tex] = [tex]\frac{EF}{YZ}[/tex] , substitute values

[tex]\frac{2x-5}{22}[/tex] = [tex]\frac{6}{12}[/tex] ( cross- multiply )

12(2x - 5) = 132 ( divide both sides by 12 )

2x - 5 = 11 ( add 5 to both sides )

2x = 16 ( divide both sides by 2 )

x = 8

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