Let
x = measure of the angle
y = measure of the supplement
By definition of supplementary, the two angles add to 180 degrees, so
x+y = 180
This is the first equation.
The second equation is y = 3x-16 since we're given the info that "the supplement is 16 degrees less than three times the angle"
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The system of equations is
x+y = 180
y = 3x-16
Focus on the first equation x+y = 180, plug in y = 3x-16, and solve for x
x+y = 180
x+3x-16 = 180 ... y is replaced with 3x-16
4x-16 = 180
4x-16+16 = 180+16
4x = 196
4x/4 = 196/4
x = 49
Because x = 49, we can use this to find y
y = 3x-16
y = 3*49-16
y = 147 - 16
y = 131
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Final Answers:
The measure of the angle is 49 degrees
The measure of the supplement is 131 degrees
Answer:
Answer: 2800
Step-by-step explanation:
First you should divide 4900 by 7 and then multiply your answer by 4 to get the Answer
The slope of a line is given by:
Plugging the values of the problem we have:
Solving for x we have:
Therefore, x=7.
Answer:
Option a. (-5, 2)
Step-by-step explanation:
The focus of a parabola is a <em>point</em>. Regarding this point, each point of the parabola has the same distance to a line that is known as "directrix".
By definition, for a parabola of the form:
The focus of the parable is given by the point: (h, k +p)
We must identify the values of h, k and p for the given equation.
Now that we know the values of h, k and p we can find the focus
The focus is
(-5, 1+1)
(-5, 2).
<span>Simple logic. 1K = 1000. So, 1.66K =1660. Many people don't know what 1K means, it is natural. And while there are many people struggling on Facebook, posting weird duck-faced selfies just for the thirst of 100+ 'likes', I presume that you are lucky enough that you got 1600 views on Quora. That means a lot, buddy! :)</span>
