between 30 and 50 is approximately 40
2x + 3y = 18
3y = 18 -2x
y = (18/3) - (2/3)x
y = 6 - 2/3x
y =-2/3x + 6
Answer: 16 sodas
Step-by-step explanation:
2 sodas | $2.50
4 sodas | $5.00
6 sodas | $7.50
8 sodas | $10.00
10 sodas | $12.50
12 sodas | $15.00
14 sodas | $17.50
16 sodas | $20.00
Smaller Angle: 49 degrees
Bigger Angle: 131 degrees
Note that supplementary angles add up to be 180 degrees. Knowing this and the information provided in the question, we can use the following system of equations:
x + y = 180 (showing they both add up to 180)
x + 82 = y (to show one angle is 82 more than the other)
We can use the substitution method to solve. Since the second equation ends in "= y" we can substitute the value of it into y for the first equation.
x + y = 180; x + 82 = y ==> x + (x + 82) = 180
And now, solve for x:
x + (x + 82) = 180
x + x + 82 = 180 > combine like terms
2x + 82 = 180
2x = 98
x = 49
So now we have the value for one of the angles! Remembering that the other angle is 82 degrees bigger, dd 49 + 82, which equals 131.
So, our two angle values are 131 and 49! This is correct since both angle measures add up to be 180, which also makes them supplementary!
