The shapes are similar.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
Therefore,

Simplify:

Cross multiply:
42(10+x) = 57x
420 + 42x = 57x
420 = 57x - 42x
420 = 15x
x = (420÷15)
x = 28
Answer:
x = 9
Step-by-step explanation:
So by definition, area is equal to the length (x) times the width (y). The area of the square mat is = x × y, or xy
If the area of<span> the rectangular mat is twice that of the square mat, the area of the rectangular mat would have to be = 2 </span>× x × y<span>
This can be written as 2x </span>× y, making the length of the rectangular mat twice that of the square mat's length, and the width the same as the square mat's width.<span>
</span>
There are 6 dimes and a total of 36 coins in all so the part to whole ratio is 6:36 or 1:6
Answer:
The answer is A.) R
R is in the correct correspondence with B.