AlizeeY277179 AlizeeY277179
  • 03-11-2022
  • Mathematics
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May I please get help finding this. I can’t seem to get the correct solution for the length.

May I please get help finding this I cant seem to get the correct solution for the length class=

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SekaiD10422 SekaiD10422
  • 03-11-2022

Triangle ABE is similar to traingle ACD; in similar triangles, corresponding sides are always in the same ratio:

[tex]\frac{DC}{EB}=\frac{AC}{AB}[/tex]

Use the equation above to find the length of x:

[tex]\begin{gathered} \frac{x}{4}=\frac{6+9}{6} \\ \\ \frac{x}{4}=\frac{15}{6} \\ \\ x=4\cdot\frac{15}{6} \\ \\ x=\frac{60}{6} \\ \\ x=10 \end{gathered}[/tex]Then, the length of x is 10

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