Answer:
α = 20.5
β = 69.5
c = 90
Step-by-step explanation:
we have to make 2 equations one for the relationship between the angles and another for the sum of all the angles
β and α are the acute angles
β = 3α + 8
α + β + 90 = 180
we replace in the second equation the value of β by (3α + 8)
α + β + 90 = 180
α + (3α + 8) + 90 = 180
a + 3a = 180 - 90 - 8
4a = 82
a = 82/4
a = 20.5
now we replace the value of b in the other equation
β = 3α + 8
β = 3 * 20.5 + 8
β = 69.5
Answer:
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Step-by-step explanation:
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Answer:
4 is the maximum number of ride tickets she can buy
Step-by-step explanation:
Here, r represents the number of ride tickets and f represents number of food tickets.
The system of inequalities is given as:
r+f\geq 16 ....[1]
4r+2f\leq 40 .....[2]
To solve Mathematically:
Multiply equation [1] by -2 we have;
-2r-2f \leq -32 .....[3]
Add equation [2] and [3] we have;
2r \leq 8
Divide both sides by 2 we have;
r \leq 4
Since r must be less than or equal to 4.
You can also see the graph of the given system of inequalities as shown below.
The intersection point is, (4, 12)
Therefore, the maximum number of ride tickets she can buy is, 4
Answer:
6>5
Step-by-step explanation:
I know it is true
We have to set up 2 equations:
A) x + y = 10 liters
B) .05x + .25y = 10 * .10
Multiply equation B) by -4
B) -.2x - y = -4 then add to equation A)
A) x + y = 10 liters
.8x = 6 liters
x = 7.5 liters of 5%
y = 2.5 liters of 25%