x + x-5 + x +23 = 180
combine like terms:
3x +18 = 180
subtract 18 from each side:
3x = 162
divide both sides by 3
x = 162 / 3 = 54
Angle x = 54 degrees
Angle x-5 = 54-5 = 49 degrees
Angle x +23 = 54 +23 = 77 degrees
Least common denominator is 15, so if you write them both with the denominator 4/5 is 12/15 and 1/3 is 5/15.
Answer:
Length: 16 feet
Width: 25 feet
Step-by-step explanation:
Alright so let's set up our system:
The area of a rectangular patio is 400 square feet.: L*W = 400
The length of the patio is 9 feet more than its width: L = W - 9
If you look here, all we need to do now is plug in L and solve.
(W - 9)W = 400
W^2-9W - 400 = 0
You can attempt to factor this in a number of ways. I recommend a factor tree, but however you do that is fine.
(W + 16)(W - 25) = 0
so we have two W values now, 25 and -16. Which one do we pick? We pick 25, because we cannot have a negative Width. That would literally break the universe.
So now we plug in 25 in our second equation to get L:
L = 25 - 9
L = 16
And now we have both our answers!
Answer:
1/3
Step-by-step explanation:
6+4+5=15 total number of balls
blue = 5 balls
5/total number = 5/15
=1/3
It has no correlation so C.