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@superraymond Lengths of corresponding sides of similar polygons are in proportion (by definition of similar polygons).
So the following extended proportion is true:
(x - 1) / 6 = (y+1)/21 = 32/24 = 16/12
Of those, the last two simplify to 4/3 which is the scale factor.
To find x,
solve for x in this proportion,
(x - 1) / 6 = 4/3 -- > Read as (x - 1 ) is to 6 as 4 is to 3.
Use the means-extremes property (cross multiply).
3*(x - 1) = 6*4
What comes next?
I understand that you feel lost right off the bat but I have to ask if you know the definition of similar polygons. In Geometry, there's no getting around learning the theorems and the definitions.
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I am asking you to solve 3*(x - 1) = 6*4 for x.
Use the Distributive Property to multiply 3 times BOTH x and -1.
3*(x-1)= 3x-1 is not correct. Try again.
Correct. Do you want to find y?
I am not sure which 3 and 4 you mean.
Is it this --> the last two simplify to 4/3
Lengths of corresponding sides of similar polygons are in proportion.
That means this: (x - 1) / 6 = (y+1)/21 = 32/24 = 16/12
Look at 32/24 = 16/12 --> Both simplify to 4/3 or 4 to 3. The ratio of corresponding sides is 4 to 3.
That is why (x - 1) / 6 = 4/3.
(y+1)/21 is also equal to 4/3.
Instead of 4/3, you could use 16/12 or 32/24 to solve for x. The answer would be the same because both 16/12 and 32/24 = 4/3.