We know that ∠1 equals ∠3, from that we can find x:

The sum of ∠1 and ∠2 must equal 180°:

Since we already know x, we can solve for y:

Result: x=10, y=6
Answer:
64
Step-by-step explanation:
Volume of a cube is:
V = s³
When s = 8 in:
V = (8 in)³ = 512 in³
When s is doubled (s = 16 in):
V = (16 in)³ = 4096 in³
Now we can write a proportion:
8 mugs / 512 in³ = x mugs / 4096 in³
x = 64
Do you mean ones and tenths?
Answer:
The amount of sugar needed to make 1 quart of lemonade is <u>1/12 cup</u>.
Step-by-step explanation:
Given:
Alex made 4 quarts of lemonade using 1/3 cup of sugar.
Now, to determine the amount of sugar needed to make 1 quart of lemonade.
Let the amount of sugar needed to make 1 quart of lemonade =
.
So, by using the proportion we solve it:


<em>On solving we get:</em>


So, cup of sugar = 
Therefore, the amount of sugar needed to make 1 quart of lemonade is 1/12 cup.