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Alona [7]
4 years ago
5

I need help solving this

Mathematics
1 answer:
Vika [28.1K]4 years ago
4 0

z = x (alternate angles)

w = y (alternate angles)

w + 75° =180° |-75°

w = 105° → y = 105°

z + w + 30° = 180°

(the sum of measures of the angles in a triangle is equal 180°)

z + 105° + 30° = 180°

z + 135° = 180° |-135°

z = 45° → x = 45°

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A 40% antifreeze solution is to be mixed with a 70% antifreeze
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Answer: 160 liters of the

40% solution and 80 liters of the 70% solution will be used.

Step-by-step explanation:

Let x represent the number of liters of 40% antifreeze solution that should be used.

Let y represent the number of liters of 70% antifreeze solution that should be used.

The volume of the mixture to be mixed is 240 liters. It means that

x + y = 240

The 40% antifreeze solution is to be mixed with a 70% antifreeze

solution to get 240 liters of a 50% solution. This means that

0.4x + 0.7y = 0.5(240)

0.4x + 0.7y = 120 - - - - - - - - - - - -1

Substituting x = 240 - y into equation 1, it becomes

0.4(240 - y) + 0.7y = 120

96 - 0.4y + 0.7y = 120

- 0.4y + 0.7y = 120 - 96

0.3y = 24

y = 24/0.3

y = 80

x = 240 - y = 240 - 80

x = 160

7 0
3 years ago
Is this correct i im not sure :(
forsale [732]

Answer:

Not sure exactly were they go, but i can tell you that 5/6 goes between 0 and 1. Since its not a mixed fraction it cant possibly be over at 5. Like i said sorry i couldn't say exactly were to put them.

Step-by-step explanation:


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