DF=3.76
Explanation
Step 1
as the figures are similar, the ratios between the sides must be equal,then
[tex]\begin{gathered} ratio1=ratio2 \\ \\ \frac{AB}{AC}=\frac{DE}{DF} \\ \text{replacing} \\ \frac{17}{16}=\frac{4}{DF} \\ 17\cdot DF=4\cdot16 \\ DF=\frac{4\cdot16}{17} \\ DF=\frac{64}{17}=3.76 \\ DF=3.764 \\ \text{rounded to the nearest hundredth} \\ DF=3.76 \end{gathered}[/tex]
I hope this helps you
