Answer:
x = 3
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
120° is an exterior angle of the triangle , then
15x + 5 + 22x + 4 = 120
37x + 9 = 120 ( subtract 9 from both sides )
37x = 111 ( divide both sides by 37 )
x = 3
Answer:
The third (C) option is the answer.
Because 4 is repeating in x coordinate,
that is called <u>D</u><u>o</u><u>m</u><u>a</u><u>i</u><u>n</u>.
It's allowed to be repeated in y coordinates,
that is called <u>R</u><u>a</u><u>n</u><u>g</u><u>e</u><u>.</u>
Good luck!
Intelligent Muslim,
From Uzbekistan.
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
- 40 kg is left in the first bag
- 80 kg is left in the second bag
_____
<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.
The answer is B:40 hours. You take 200 divided by 20 to get 10 (the amount of 20 page sections he needs to read) and then multiply 10 by 4 (the speed he reads).
Answer:
(58-11) divided by 20
Step-by-step explanation:
