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Given AABC ~ AFDE, what are the values of r and y?
B
3x + 8
D
12
3
5
А
F
E
28
y+5
[Select]
x=
and y=
[ Select

Given AABC AFDE what are the values of r and y B 3x 8 D 12 3 5 А F E 28 y5 Select x and y Select class=

Respuesta :

sqdancefan

9514 1404 393

Answer:

  x = 4

  y = 2

Step-by-step explanation:

The triangles being similar means the side ratios are the same.

  AB/FD = BC/DE   and   AB/FD = CA/EF

  12/3 = (3x+8)/5   and   12/3 = 28/(y+5)

Multiplying by 5, the first equation becomes ...

  20 = 3x +8

  12 = 3x . . . . . . subtract 8

  4 = x . . . . . . . . divide by 3

__

Multiplying by (y+5)/4, the second equation becomes ...

  y +5 = 28/4

  y = 2 . . . . . . . . subtract 5

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