Complement: The sum of two angles equals 90°
Supplement: The sum of two angles equals 180°
Answer: Supplement
9) Because the total number of pencils is 180 and you will use them up in 30 days, the equation will have to equal 0 total pencils when 30 is substituted in for the time factor, or x. This already takes our choice 3 because it doesn’t meet this criteria.
The answer to how many pencils in 20 days could be answered by plugging in 20 for x. Choice 4 cannot work because it results in a negative number of pencils. Choices 1 and 2 use the same equation, so by plugging in 20 it is clear choice 2 is the correct answer.
10) A line parallel to the go en equation would have the same slope, -3, which means choices 1 and 4 are out. Plug in (-2,5) into both choices 2 and 3. Plugging -2 into x in choice 2 gives -5, and in choice 3 gives 5 for the y value. Therefore choice 3 is correct.
Answer:
θ=1.2 rad=68.7549°
Step-by-step explanation:
Given
- Circle of radius 5
- Arc of length 6 subtends angle of θ

⇒

θ
Therefore θ=1.2 rad
(π rad= 180°)
Therefore 1.2 rad= 68.7549°