Angle a is directly opposite from a 40 degree angle, so a=40. Then we can find b since the sum of the angles of all triangles is 180 and there is a right angle in there along with angle a:
![180=90+40+b](https://tex.z-dn.net/?f=180%3D90%2B40%2Bb)
![b=50](https://tex.z-dn.net/?f=b%3D50)
Last, to find c we just notice that it is supplementary with an angle of measure 65, so:
![c+65=180](https://tex.z-dn.net/?f=c%2B65%3D180)
![c=115](https://tex.z-dn.net/?f=c%3D115)
So our angles are a=40, b=50, c=115.
2/5, the formula is art over swimming, 16/40, then simplify 2/5
Answer:
Step-by-step explanation:
Let
be the number of tickets given away to listeners, and
be the number of tickets given away to employees.
From the problem statement, we know the following two equations can be formed:
![L + E = 235](https://tex.z-dn.net/?f=L%20%2B%20E%20%3D%20235)
![L = 4E](https://tex.z-dn.net/?f=L%20%3D%204E)
If we substitue the second equation into the first, we can solve for
:
![L + E = 235](https://tex.z-dn.net/?f=L%20%2B%20E%20%3D%20235)
![(4E) + E = 235](https://tex.z-dn.net/?f=%284E%29%20%2B%20E%20%3D%20235)
![5E = 235](https://tex.z-dn.net/?f=5E%20%3D%20235)
![E = 47](https://tex.z-dn.net/?f=E%20%3D%2047)
You'd be tempted to say, "If it doesn't rain then...", but in fact you don't know what happens then. What you do know, is that if the road is NOT slippery, then clearly it is not raining.
For the club to keep $500, it must sell much more than $500 so that 30% of that large amount is $500.
Let the large amount of sales be x.
30% of the large amount of sales is $500
30% of x is $500
30% * x = 500
0.3x = 500
x= 500/0.3
x = 1,666.67
Answer: $1,666.67