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Directrix
 2 years ago
Best ResponseYou've already chosen the best response.1@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

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.1Of 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 meansextremes property (cross multiply). 3*(x  1) = 6*4 What comes next?

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.1I 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.

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.1I am asking you to solve 3*(x  1) = 6*4 for x.

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.1Use the Distributive Property to multiply 3 times BOTH x and 1. 3*(x1)= 3x1 is not correct. Try again.

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.1Correct. Do you want to find y?

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.1I am not sure which 3 and 4 you mean. Is it this > the last two simplify to 4/3

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.1Lengths 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.

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.1Instead 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.
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