Since they're vertical angles, they're equal in degree measure
since they're equal, we can make the two expressions equal to each other
5a - 1 = 2a + 20
add 1 to both sides
5a = 2a + 21
subtract 2a from both sides
3a = 21
divide both sides by 3a
a = 7
now, plug the answer you found for a into one of the two expressions
5a - 1 becomes (5*7) - 1, which equals 34
to double check that they're equivalent (since they're vertical angles)
2a + 20 becomes (2*7) + 20, which equals 34
both angles are 34 degrees!
B. One is the answer because the longest line that would match is through c and b.
You can set up this equation as:
Because remember, 70% is equal to 0.7 and x represents the unknown value. So, let's just solve it:
So,
70% of 120 is 84.
Original price of the swimsuit = x
If something was discounted 65%, that means you are paying 35% for it.
(100% - 65% = 35% or 0.35)
x(0.35) = 20.30
divide both sides by 0.35
x = 58
The swimsuit was originally 58 dollars.
hmmm, between the three options I would go with the second one since the number of 1-foot cubes equals exactly the volume of the fish tank.
But to truly calculate the volume
5 x 3 = 15
15 x 3 = 45
45 is the volume of the fish tank
