Answer:
Percentage increases and decreases, are found by setting the problem up proportionally.
You are trying to find what percentage of 17.37 is 8.30 first.
so What %/100 = 8.30/17.37
Now define a variable:
Let x = What%
x/100 = 8.30/17.37
17.37x = 830
x = 830/17.37
x ≈ 47.78
8.30 is approximately 47.78% of 17.37, so the percentage decrease is 100% - 47.78% = 52.22%
The percentage decrease is approximately 52.22%
Answer: The system consists of parallel lines
Step-by-step explanation:
Given system of lines :
![3y-x=-7](https://tex.z-dn.net/?f=3y-x%3D-7)
Substitute
in
, we get
, which is not true.
That means , system has no solution.
i.e. they are representing parallel lines. [Parallel lines do not intersect and hence they do not have solution.]
1000
Step-by-step explanation:
Let the share of votes obtained by the parties A, B and C be x, 2x and 4x respectively.
According to the given information:
No of votes obtained by C = 1500 + No of votes obtained by A
![\therefore 4x = 150. + x \\\\\therefore 4x - x = 1500\\\\\therefore 3x = 1500\\\\\therefore x = \frac{1500}{3} \\\\\therefore x = 500\\\\\because Votes \:obtained\: by \:B = 2x \\\\\therefore Votes \:obtained\: by \:B = 2\times 500\\\\\purple {\bold {\therefore Votes \:obtained\: by \:B = 1000}} \\\\](https://tex.z-dn.net/?f=%20%5Ctherefore%204x%20%3D%20150.%20%2B%20x%20%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%204x%20-%20x%20%3D%201500%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%203x%20%3D%201500%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%20x%20%3D%20%5Cfrac%7B1500%7D%7B3%7D%20%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%20x%20%3D%20500%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Cbecause%20Votes%20%5C%3Aobtained%5C%3A%20by%20%5C%3AB%20%3D%202x%20%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%20Votes%20%5C%3Aobtained%5C%3A%20by%20%5C%3AB%20%3D%202%5Ctimes%20500%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Cpurple%20%7B%5Cbold%20%7B%5Ctherefore%20Votes%20%5C%3Aobtained%5C%3A%20by%20%5C%3AB%20%3D%201000%7D%7D%20%5C%5C%5C%5C)
Circumference of a circle is pi x diameter (full length of the circle)
you have the radius which is half, so youd need to double it go geth the diameter.
24x2=48
and then 3.14x48=150.72
The original angle id 90 degrees so subtract the 45 degrees.
Answer: 45 degrees