Question

NVM

Answer 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

Answer 2

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?

Answer 3

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.

Answer 4

I am asking you to solve 3*(x - 1) = 6*4 for x.

Answer 5

Use the Distributive Property to multiply 3 times BOTH x and -1.

3*(x-1)= 3x-1 is not correct. Try again.

Answer 6

Correct. Do you want to find y?

Answer 7

I am not sure which 3 and 4 you mean.
Is it this --> the last two simplify to 4/3

Answer 8

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.

Answer 9

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.

Answer 10

Glad to help.