Respuesta :
By the definition of similar polygons, the lengths of corresponding sides are proportional.
The proportion for [tex]x=40[/tex].
What are similar polygons?
- Similar polygons are two polygons that have the same shape but are not always the same size.
- Similar polygons have congruent angles and proportional sides.
- Consider identical polygons as enlarging or contracting the same shape.
- The similarity is represented by the symbol.
As it is given in the definition, similar polygons have congruent angles and proportional sides.
Therefore, by the definition of similar polygons, the lengths of corresponding sides are proportional.
Cross multiply and solve the proportion [tex]x[/tex] as follows:
The blank should be proportional.
[tex]\frac{12}{8} =\frac{20+x}{x}\\ 12x=160+8x\\4x=160\\x=40[/tex]
Therefore, the proportion for [tex]x=40[/tex].
Know more about similar polygons here:
https://brainly.com/question/1493409
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