Ethan writes the ratio x/10=y/20 to help him reduce the size of a two-dimensional shape. If the new value of you is 7 units, what will be the value of x?
To find the value of x, we can set up a proportion using the given ratio:
x/10 = y/20
Since the new value of y is 7 units, we can substitute y = 7 into the equation:
x/10 = 7/20
Now, we can cross multiply to solve for x:
20x = 10 * 7
20x = 70
x = 70/20
x = 3.5 units
Therefore, the value of x is 3.5 units.