well, just plug it in:
(4x+6)/(4x+11) = 8/10
10(4x+6) = 8(4x+11)
40x+60 = 32x+88
8x=28
x = 7/2
I have no idea what side ac is, but its ratio to df is 4/5
triangle abc is similar to triangle def and has a ratio 8/10 = 16/20 = 4x+6/4x+11
side ac= ?
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