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:
1/3
Step-by-step explanation:
The scale factor would be 1/3.
To get figure A to the size of figure B, we need to multipy all sides by 1/3.
33*1/3=11
15*1/3=5
Answer:
Step-by-step explanation:
There is no solutions
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Any number below 28.376.
For example 27.376
Answer:
Step-by-step explanation:
Given
x ----- y
0.5. --- 0.8
1. --- 1.6
3.--- 4.8
25. --- 40
Required
Determine the constant of proportionality
This can be calculated using the following formula:
; Where r is the constant of proportionality;
Solve for r
When x = 0.5; y = 0.8
When x = 1; y =1.6
When x = 3; y = 4.8
When x = 25; y = 40
Notice that the value of r is constant throughout;
Hence:
