Respuesta :

Given:

Find-:

The proportion and value of x

Explanation-:

The proportion is:

[tex]\frac{x}{15}=\frac{32}{40}=\frac{32}{40}[/tex]

Because of side ratio is:

[tex]\frac{CD}{C^{\prime}B^{\prime}}=\frac{AB}{A^{\prime}B^{\prime}}=\frac{AD}{A^{\prime}D^{\prime}}[/tex]

So, the value of x is:

[tex]\begin{gathered} \frac{x}{15}=\frac{32}{40} \\ \\ x=\frac{32}{40}\times15 \\ \\ x=\frac{480}{40} \\ \\ x=\frac{48}{4} \\ \\ x=12 \end{gathered}[/tex]

The value of "x" is 12.

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