Answer:
x = 38
y = 25
Step-by-step explanation:
To find x, you do
(2x + 5) = (3x - 33)
Subtract 2x from both sides to isolate x on one side, you get:
5 = (x - 33)
Add 33 to both sides to separate the normal number from the x, you get:
38 = x
From there, you plug x into one of the equations
2(38) + 5
The answer's 81, meaning that angle is 81 degrees. Using supplementary angles, you can find that angle ACD = 99, which you can use to find angle BCE. You'll get this equation:
(4y - 1) = 99
Add one to both sides to get rid of it, you get:
4y = 100
Divide by four, to get the y all alone:
y = 25
I hope this helped!
<em>First, find the greatest common factor (GCF) of the numerator and denominator.</em>
<u>Factors of 18</u>: 1, 2, 3, 6, 9, 18
<u>Factors of 24</u>: 1, 2, 3, 4, 6, 8, 12, 24
<u>Common Factors</u>: 1, 2, 3, 6
<u>GCF</u>: 6
<em>Now, divide the numerator by 6 and the denominator by 6.</em>
18 ÷ 6 = 3
24 ÷ 6 = 4
<em>Set these as your new numerator and denominator.</em>
The answer is (b).
The answer would be C) because there are 11 possibilities of who can line up first, and after the first person, 10 possibilities, then 9, and so on. So you would need to multiply 11x10x9x8x...x1.
Number of candles =(total volumes used by the company)/(volume of one candle)
volume of one candle =5cm*2cm*12cm=120cm^3
hence number of candles =5040/120
, ,=42candles