KenyonA323150 KenyonA323150
  • 28-10-2022
  • Mathematics
contestada

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

PLEASE HELPGiven two similar figures if AB17 when DE4 and AC16 then DFRound your answer to the nearest hundredth if necessary class=

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AmienaU159519 AmienaU159519
  • 28-10-2022

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

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