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AB=6, AC=21, DF=35, EF=x
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what x is
16
\[\frac{ DE }{ EF }=\frac{ AB }{ BC }\] add 1 to both sides \[\frac{ DE }{ EF }+1=\frac{ AB }{ BC }+1\] \[\frac{ DE+EF }{ EF }=\frac{ AB+BC }{ BC }\] \[\frac{ DF }{ EF }=\frac{ AC }{ BC }=\frac{ AC }{ AC-AB }\] \[\frac{ 35 }{ EF }=\frac{ 21 }{ 21-6 }=\frac{ 21 }{ 15 }\] \[EF=35 \times \frac{ 15 }{ 21 }=?\]
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