Respuesta :

Answer:

x ≈ 2.73

Step-by-step explanation:

The two triangles are scaled.

So...

[tex]\frac{10}{11} = \frac{x}{3}\\\\30 = 11z\\\\x = 30/11\\\\[/tex]

x = 2.727272..... ≈ 2.73

-Chetan K

[tex]\\ \sf{:}\longrightarrow \dfrac{AB}{BC}=\dfrac{AD}{ED}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{10}{x}=\dfrac{10+1}{3}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{10}{x}=\dfrac{11}{3}[/tex]

[tex]\\ \sf{:}\longrightarrow 11x=30[/tex]

[tex]\\ \sf{:}\longrightarrow x\approx 3[/tex]

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