They will have played with 19 loses 76 wins !
Answer:
H. 95°
Step-by-step explanation:
m∠BGC is 10° smaller than m∠CGD, which means that m∠BGC is x° - 10°
m∠DGE is 25° more than m∠EGF, which means that m∠DGE is x° + 25°
The sum of all angles in a placement like this will always equal 360°
So we put all the measures of all angles on one side of thee equation and set it equal to 360*
x° + x° - 10° + 2x° + 25° + 2x° + 3x° + 30° = 360°
After combining like terms we get 9x° + 45° = 360°
After some algebra we get x = 35°
Now at the start we said that m∠DGE is x + 25°
Plug in 35° for x and we get 35° + 25°
The final answer is m∠DGE = 95°
Edit: Sorry if my answer looks a bit confusing. This is actually my first answer on Brainly so I'm quite new to this experience.
Answer: choice A. 40 liters
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Explanation:
x = number of liters of the 50% alcohol solution
If we have x liters of 50% alcohol, then we have 0.50*x liters of pure alcohol. This is added to 0.90*40 = 36 liters of pure alcohol (from the 90% solution).
So far we have 0.50*x + 36. This expression represents the total amount of pure alcohol. We want a 70% solution, so we want 70% of the total 40+x meaning 0.50*x + 36 is to be set equal to 0.70*(40+x) and we solve for x as shown below
0.50*x + 36 = 0.70*(40+x)
0.50*x + 36 = 0.70*(40)+0.70*(x)
0.50*x + 36 = 28+0.70*x
36 - 28 = 0.70*x - 0.50x
8 = 0.20x
0.20x = 8
x = 8/0.20
x = 40
So that is why the answer is choice A. 40 liters
The answer is -7.137x10^-3
