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Rashid [163]
4 years ago
13

If two angles are obtuse, then they must be congruent? true or false???

Mathematics
1 answer:
Darina [25.2K]4 years ago
3 0

Answer:

If two angles are supplementary, then they must form a straight angle.  If two angles are obtuse, then they can be vertical angles.  If two angles are vertical angles, then they will always be congruent.

Step-by-step explanation:

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The problem statement gives a relation between the amount removed from one bag and the amount removed from the other. It asks for the amount remaining in each bag. Thus, there are several choices for variables in this problem, some choices resulting in more complicated equations than others.

Let's do it this way: let x represent the amount remaining in bag 1. Then the amount removed from bag 1 is (100-x). The amount remaining in bag 2 is 2x, so the amount removed from that bag is (100-2x). The problem statement tells us the relationship between amounts removed:

... (100 -x) = 3(100 -2x)

... 100 -x -3(100 -2x) = 0 . . . . . . subtract the right side

... 5x -200 = 0 . . . . . . . . . . . . . . eliminate parentheses and collect terms

... x -40 = 0 . . . . . . . . . . . . . . . . .divide by 5

... x = 40 . . . . . . . . . . . . . . . . . . . add 40

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_____

<u>Check</u>

The amount removed from the first bag is 60 kg. The amount removed from the second is 20 kg. The amount removed from the first bag is 3 times the amount removed from the second bag, as described.


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