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
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Multiplying by (y+5)/4, the second equation becomes ...
y +5 = 28/4
y = 2 . . . . . . . . subtract 5
