Respuesta :

The scale factor, r, is found relating two proportional sides, as follows:

[tex]\begin{gathered} 40=r\cdot8 \\ \frac{40}{8}=r \\ 5=r \end{gathered}[/tex]

Therefore, the relation between sides z and 10 is:

[tex]\begin{gathered} z=r\cdot10 \\ z=5\cdot10 \\ z=50 \end{gathered}[/tex]

And the value of y is:

10 + y = z

10 + y = 50

y = 50 - 10

y = 40

Finally, the value of x is:

[tex]\begin{gathered} x=6\cdot r \\ x=6\cdot5 \\ x=30 \end{gathered}[/tex]

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