There is only solutions to the systems of equations - y = x -2 & y = -x + 2. We can find this by looking at the slopes of each line, which is 1 and -1. They are not negative reciprocals or the same exact slope, which would give the system of equations no solutions. Since the lines are not exactly the same, the system does not have infinitely many solutions. A system of LINEAR equations cannot have two solutions, giving us an answer of only one solution. Hope this helps!
Answer:
144°
Step-by-step explanation:
The central angle of a sector in a pie chart is proportional to the fraction the represented data is of the whole.
__
<h3>fraction</h3>
The total number of meals ordered at the restaurant was ...
11 +12 +7 = 30
The fraction of those that were Curry was ...
12/30 = 2/5
<h3>angle</h3>
Then the central angle of the sector representing Curry will be 2/5 of the circle, or ...
2/5 × 360° = 144°
The central angle of the section representing Curry will be 144°.
Parallel lines have the same slope.
Answer:
sin(theta) = 0.5
tan(theta) = -0.577
Step-by-step explanation:
Cos theta = -0.866
Theta = 2.617943073
(Because in the second quadrant)
sin(theta) = 0.5
tan(theta) = -0.577
Answer: $20
Step-by-step explanation:
Here os the correct question:
Stephanie saw in an ad in the paper that her favorite kind of perfume was on sale for 25% off. If the sale price was $15, what was the original price of the perfume?
Let the original price of the perfume be y.
Since we are told that 25% is off, that means that 25% has been deducted from the original price. This can be written as:
y - (25% of y) = $15
y - (25/100 × y) = $15
y - 0.25y = $15
0.75y = $15
Divide both side by 0.75
0.75y/0.75 = $15/0.75
y = $20
The original price of the perfume is $20