What would be the reasons for lines 3 and 4? A. Addition property; subtraction property B. Addition property; solve C. Substitut
ion property; subtraction property D. Substitution property; prove
2 answers:
Answer:
C
Step-by-step explanation:
We are given that angle 1 and angle 2 are supplementary angles.
We have to find the reason for line 3 and 4.
1.Angle 1 and angle 2 are supplementary angles
Reason:Given
2.
Reason:Definition of supplementary angles.
3.
Reason:Substitute property
4.
Reason:Subtraction property of equality
Hence, option C is true.
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1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).
2. Use formula to find the distance from point
to the line Ax+By+C=0.
The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:
.
3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.
Answer: .