Two angles are supplementary. One angle has a measure that is five less than four times the other. What is the measure of the la
1 answer:
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Answer:
D
Step-by-step explanation:
We have the two linear equations:
And we want to determine the relationship between them.
Let's go through each of the answer choices.
Parallel?
Remember that parallel lines have the same slopes.
The slope of Line 1 is 3, while the slope is Line 2 is -3.
Since they have different slopes, they are not parallel.
Perpendicular?
Perpendicular lines have slopes who are negative reciprocals of each other.
For example, the negative reciprocal of 2 will be -1/2. And the negative reciprocal of -1/2 is 2.
The slope of Line 1 is 3. The negative reciprocal of 3 is -1/3. This is <em>not</em> the slope of Line 2.
We can do it for Line 2 just to confirm. The slope of Line 2 is -3. The negative reciprocal of -3 is 1/3.
So, because their slopes are not negative reciprocals of each other, the two lines are not congruent.
Both?
No two lines can be both parallel and perpendicular simultaneously, so this is out of the question.
[N]either?
Yes indeed. They lines are neither parallel nor perpendicular, so this is our only choice.
And we're done!
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Answer:
B, E
Step-by-step explanation:
You are give a table of values of x and f(x). You are told that g(x) = (1/2)f(x), and you are asked for points (x, g(x)) that match that description.
It can be useful to mentally, or actually, add a third column to the table that shows the values of g(x). Each of those is half the corresponding value of f(x), because that is what g(x) = (1/2)f(x) means.
Having done that, you can then compare the ordered pairs (x, g(x)) to those in the answer list to see which ones match. The ones that match are highlighted in green in the attachment:
(-1, -2) . . . . . . 2nd choice
(6, 3/2) . . . . . 5th choice
