Respuesta :

Solution

step 1

Explain similarity

Both triangles are similar therefore the ratio of their corresponding sides must be equal.

Step2

State the corresponding sides

[tex]\frac{12}{x}=\frac{8}{4}[/tex]

Step 3

Find x

[tex]\begin{gathered} 8x\text{ = 12}\times4 \\ x\text{ =}\frac{48}{8} \\ x=6 \end{gathered}[/tex]

Hence option A

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