Answer:
A. 26°
Step-by-step explanation:
If ON =OL, then the two triangles are are similar.
The base angles must be equal.
![(9x-8)\degree=(7x+8)\degree](https://tex.z-dn.net/?f=%289x-8%29%5Cdegree%3D%287x%2B8%29%5Cdegree)
We group the similar terms to obtain:
![9x-7x=8+8](https://tex.z-dn.net/?f=9x-7x%3D8%2B8)
![2x=16](https://tex.z-dn.net/?f=2x%3D16)
Divide through by 2 to get:
x=8
![m\angle OML=90-(7x+8)](https://tex.z-dn.net/?f=m%5Cangle%20OML%3D90-%287x%2B8%29)
Substitute x=8
![m\angle OML=90-(7(8)+8)](https://tex.z-dn.net/?f=m%5Cangle%20OML%3D90-%287%288%29%2B8%29)
![m\angle OML=90-(56+8)](https://tex.z-dn.net/?f=m%5Cangle%20OML%3D90-%2856%2B8%29)
![m\angle OML=26\degree](https://tex.z-dn.net/?f=m%5Cangle%20OML%3D26%5Cdegree)
Answer:
Tasha should mix 25 liters of 20% solution and 50 liters of 50%.
Step-by-step explanation:
Let x liters be the amount of 20% solution and y liters be the amount of 50% solution Tasha takes.
1. Tasha needs 75 liters of a 40% solution of alcohol. Then
x + y = 75
2. There are
liters of alcohol in x l of 20% solution
liters of alcohol in 50% solution
liters of alcohol in 75 liters of 40% solution
In total,
of alcohol that is 30 l, so
0.2x + 0.5y = 30
3. Solve the system of two equations:
![\left\{\begin{array}{l}x+y=75\\ \\0.2x+0.5y=30\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%2By%3D75%5C%5C%20%5C%5C0.2x%2B0.5y%3D30%5Cend%7Barray%7D%5Cright.)
From the first equation:
![x=75-y](https://tex.z-dn.net/?f=x%3D75-y)
Substitute it into the second equation
![0.2(75-y)+0.5y=30\\ \\15-0.2y+0.5y=30\\ \\0.3y=30-15\\ \\0.3y=15\\ \\3y=150\\ \\y=50\\ \\x=75-50=25](https://tex.z-dn.net/?f=0.2%2875-y%29%2B0.5y%3D30%5C%5C%20%5C%5C15-0.2y%2B0.5y%3D30%5C%5C%20%5C%5C0.3y%3D30-15%5C%5C%20%5C%5C0.3y%3D15%5C%5C%20%5C%5C3y%3D150%5C%5C%20%5C%5Cy%3D50%5C%5C%20%5C%5Cx%3D75-50%3D25)
Tasha should mix 25 liters of 20% solution and 50 liters of 50%.
Answer:
Subscribe to MM Gaming!
Step-by-step explanation:
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