Answer:
x = 4
Step-by-step explanation:
Since the triangles are similar, you know that the sides are equally proportional to all the other ones.
What I do is set up two fractions:
= 
Make sure that the bigger sides are on the same side of the fraction as each other!
Now, you solve for x.
2(x + 2) = 3x
2x + 4 = 3x
-x + 4 = 0
x = 4
I hope this helps!
ANSWER

EXPLANATION
The room represents a rectangular prism or a cuboid.
The dimensions of the room are 30 feet by 16 feet by 8 feet(height).
The volume of a rectangular prism is

Substitute the given values

Simplify:

Hence the cubic feet of air in the room is 3,840ft³.
C = 7 and S = 4 hope this helps!
Answer: 2/3 books on politics
Step-by-step explanation:
The opportunity cost of something is the next best alternative that you would have taken if you did not instead go for the option that you took.
Opportunity cost here is the number of books on politics that Bill had to give up to get a single book on history.
= Number of politics books / Number of history books
= 4 / 6
= 2/3 books on politics
<em>Bill gave up 2/3 books on politics to get a single history book. </em>
Answer:

Step-by-step explanation:
<u>Solving Equations</u>
We have the expression:

And it's required to make y the subject.
It can be done by isolating y on the left side of the equation and the rest of the expression on the right side.
The first step is removing the denominator by multiplying both sides by y-3:

Simplifying the right side:

Remove the parentheses:

Move the y's to the left side and the rest of the expression to the right side:

Factor out y:

Divide by x-1:
