The simplified fraction for sinC will be 9/41
Answer:
x = -12
y = 3
Step-by-step explanation:
![1/2x + 6(x+15) = 12\\1/2x + 6x + 90 = 12\\6\frac{1}{2} x + 90 = 12\\6\frac{1}{2} x= -78\\x = -12](https://tex.z-dn.net/?f=1%2F2x%20%2B%206%28x%2B15%29%20%3D%2012%5C%5C1%2F2x%20%2B%206x%20%2B%2090%20%3D%2012%5C%5C6%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%2090%20%3D%2012%5C%5C6%5Cfrac%7B1%7D%7B2%7D%20x%3D%20-78%5C%5Cx%20%3D%20-12)
![y = x + 15\\y = -12 + 15\\y = 3](https://tex.z-dn.net/?f=y%20%3D%20x%20%2B%2015%5C%5Cy%20%3D%20-12%20%2B%2015%5C%5Cy%20%3D%203)
The given formula ![A= 10 + ry](https://tex.z-dn.net/?f=%20A%3D%2010%20%2B%20ry%20)
Solve for y means we have to make y alone
\\
Add -10 on both sides, we get
![A - 10 = 10 -10 + ry \\A - 10 = 0 + ryA - 10 = ry](https://tex.z-dn.net/?f=%20A%20-%2010%20%3D%2010%20-10%20%2B%20ry%20%5C%5CA%20-%2010%20%3D%200%20%2B%20ry%3C%2Fp%3E%3Cp%3EA%20-%2010%20%3D%20ry%20)
As there is multiplication sign between r and y so to solve for y, divide both side by r
![\frac{A - 10}{r} = y\\\\y = \frac{A - 10}{r}](https://tex.z-dn.net/?f=%20%5Cfrac%7BA%20-%2010%7D%7Br%7D%20%3D%20y%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7BA%20-%2010%7D%7Br%7D%20)
Answer:
102°
Step-by-step explanation:
As the vertically opposite angles are equal,
![5x+2={3(x+14)](https://tex.z-dn.net/?f=5x%2B2%3D%7B3%28x%2B14%29)
Now let's solve for x now
![5x+2=3(x+14)\\](https://tex.z-dn.net/?f=5x%2B2%3D3%28x%2B14%29%5C%5C)
![5x+2=3x+42](https://tex.z-dn.net/?f=5x%2B2%3D3x%2B42)
![5x-3x=42-2](https://tex.z-dn.net/?f=5x-3x%3D42-2)
![2x=40](https://tex.z-dn.net/?f=2x%3D40)
![\frac{2x}{2} =\frac{40}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%20%3D%5Cfrac%7B40%7D%7B2%7D)
![x=20 \\](https://tex.z-dn.net/?f=x%3D20%20%5C%5C)
Now let's find the value of KNL
![3(x+14)\\3(20+14)\\3*34\\102](https://tex.z-dn.net/?f=3%28x%2B14%29%5C%5C3%2820%2B14%29%5C%5C3%2A34%5C%5C102)
Hope this helps you.
Let me know if you have any other questions ;-)