SOLUTION: Two angles are supplementary of each other. Twice one angle is equal to the other angle minus the product of six and eight.
Set up a system of linear equations to represent th
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Set up a system of linear equations to represent th
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Question 157882: Two angles are supplementary of each other. Twice one angle is equal to the other angle minus the product of six and eight.
Set up a system of linear equations to represent the two angles. Graph each of the equations on one rectangular coordinate system. (Hint: You must get y by itself before graphing.) Found 2 solutions by nerdybill, gonzo:Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! Two angles are supplementary of each other. Twice one angle is equal to the other angle minus the product of six and eight.
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Supplementary angles mean that the sum of two angles equals 180 degrees.
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Let x = one angle
and y = the other angle
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Since we have two unknowns we'll need two equations.
From:"Two angles are supplementary of each other." we get:
x+y = 180
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From:"Twice one angle is equal to the other angle minus the product of six and eight." we get:
2x = y - (6*8)
2x = y - 48
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Our "system of equations" then is:
x+y = 180
2x = y - 48
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Using the "hint" let's get y one side of the equation:
for
x+y = 180
y = -x + 180
for
2x = y - 48
2x + 48 = y
y = 2x + 48
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Now, our system of equations are:
y = -x + 180
y = 2x + 48
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Both are now in the "slope-intercept" form of
y = mx + b
where
m is the slope
b is the y-intercept at (0,b)
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The idea is the plot each line on a single graph -- where they intersect is where your answer is.
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I'll solve it algebraically here:
since we have:
y = -x + 180
y = 2x + 48
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we can substitute the first into the second to get:
-x + 180 = 2x + 48
180 = 3x + 48
132 = 3x
44 deg = x (one angle)
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Solving for the other:
x+y = 180
44+y = 180
y = 180 - 44
y = 136 deg (other angle)
You can put this solution on YOUR website! A = angle A and B = angle B.
A + B = 180 (supplementary)
2*A = B-48
A = (B-48)/2
(B-48)/2 + B = 180
B-48 + 2B = 360
3B = 408
B = 136
A = 180-136 = 44
tangent of angle B = y / x = -.965688775
y = -.965688775 * x
let x = -5, then y = -.965688775 * (-5) =
graph of the line formed by A = 136 degrees is as follows:
graph
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