Respuesta :

Answer:

[tex]\Large \boxed{\sf x=9}[/tex]

Step-by-step explanation:

A transversal that is parallel to a side in a triangle defines a new smaller triangle that is similar to the bigger triangle.

[tex]\displaystyle \frac{9+72}{9} =\frac{3x-20+56}{3x-20}[/tex]

Solve for x

[tex](9+72)\times(3x-20)=(3x-20+56)\times(9)[/tex]

[tex]243x-1620=27x+324[/tex]

[tex]216x=1944[/tex]

[tex]x=9[/tex]

Answer:

the value of x is 9. look it once.

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