Answer:
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Step-by-step explanation:
The rules are very simple: an angle is acute if it's less than 90°, whereas it is obtuse if it's more than 90°.
So, for the first task, you just need to compare the given angle with 90°. If the angle is less than 90°, it's acute. Otherwise, it's obtuse.
Moving on, angle B is complement of a angle A if A+B=90. So, for example, the complement of the first angle is 80, because 10+80=90. Note that this implies that obtuse angles don't have a complement.
Finally, angle B is supplement of a angle A if A+B=180. So, for example, the complement of the first angle is 170, because 10+170=180.
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Step-by-step explanation:
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To solve correctly, graph both inequalities. The solution is where they overlap. <em>See attachment for graph. </em>Which coordinate is plotted in the overlapping section?
If you don't have the tools to graph them, then plug each coordinate into both inequalities. The coordinate that makes a true statement for BOTH inequalities, is the answer.
(0, 4): 4 > -2 TRUE 0 + 4 < 4 FALSE
(-3, 5): 5 > -2 TRUE -3 + 5 < 4 TRUE THIS IS THE ANSWER!
(1, 4): 4 > -2 TRUE 1 + 4 < 4 FALSE
(-2, -3): -3 > -2 FALSE
Answer: (-3, 5)
60 : 45 can be simplified to 4 : 3
(divide 60 and 45 by 15 and you’ll get 4:3)