Question

PLEASE HELP:Given two similar figures, if AB=17 when DE=4, and AC=16, then DF=?Round your answer to the nearest hundredth if necessary

Answer 1

DF=3.76

Step-by-step explanation

Step 1

as the figures are similar, the ratios between the sides must be equal,then

`\begin{gathered} ratio1=ratio2 \\ \\ (AB)/(AC)=(DE)/(DF) \\ \text{replacing} \\ (17)/(16)=(4)/(DF) \\ 17\cdot DF=4\cdot16 \\ DF=(4\cdot16)/(17) \\ DF=(64)/(17)=3.76 \\ DF=3.764 \\ \text{rounded to the nearest hundredth} \\ DF=3.76 \end{gathered}`

I hope this helps you