Answer:
4.2
Step-by-step explanation:
First I did 54 divided by 3 which is 18. Then I found the square root of 18.
Answer:
The only point (0,0) lies inside the shaded region and hence it gives a solution for the set of inequalities.
Step-by-step explanation:
See the graph attached to this question.
The solution of the set of inequalities is given by the shaded region on the graph.
Now, the point (0,5) is outside this shaded region, hence it can not be the solution.
The point (3,0) also is outside this shaded region, hence it can not be the solution.
The point (-3,0) also is outside this shaded region, hence it can not be the solution.
Now, the only point (0,0) lies inside the shaded region and hence it gives a solution for the set of inequalities. (Answer)
I’m not sure but maybe true
Answer:
![107^\circ, 133^\circ, 20^\circ, \text{and}, 23^\circ](https://tex.z-dn.net/?f=107%5E%5Ccirc%2C%20133%5E%5Ccirc%2C%2020%5E%5Ccirc%2C%20%5Ctext%7Band%7D%2C%2023%5E%5Ccirc)
Step-by-step explanation:
9. For the lines 'm' and 'n' to be parallel the sum of interior angles should be 180 degrees that is:
![x+73^\circ=180^\circ](https://tex.z-dn.net/?f=x%2B73%5E%5Ccirc%3D180%5E%5Ccirc)
![x=107^\circ](https://tex.z-dn.net/?f=x%3D107%5E%5Ccirc)
10. For the lines 'm' and 'n' to be parallel the alternate exterior angles should be equal that is:
![147^\circ=x+14^\circ](https://tex.z-dn.net/?f=147%5E%5Ccirc%3Dx%2B14%5E%5Ccirc)
![x=147^\circ-14^\circ](https://tex.z-dn.net/?f=x%3D147%5E%5Ccirc-14%5E%5Ccirc)
![x=133^\circ](https://tex.z-dn.net/?f=x%3D133%5E%5Ccirc)
11. For the lines 'm' and 'n' to be parallel alternate angles should be equal that is:
![180^\circ-3x=2x+20^\circ](https://tex.z-dn.net/?f=180%5E%5Ccirc-3x%3D2x%2B20%5E%5Ccirc)
Solving for 'x' we get:
![180^\circ-20^\circ=3x+2x](https://tex.z-dn.net/?f=180%5E%5Ccirc-20%5E%5Ccirc%3D3x%2B2x)
![5x=160^\circ](https://tex.z-dn.net/?f=5x%3D160%5E%5Ccirc)
![x=32^\circ](https://tex.z-dn.net/?f=x%3D32%5E%5Ccirc)
12. For the lines 'm' and 'n' to be parallel corresponding angles should be equal that is:
![(7x-11)^\circ=(4x+58)^\circ](https://tex.z-dn.net/?f=%287x-11%29%5E%5Ccirc%3D%284x%2B58%29%5E%5Ccirc)
![7x-4x=58^\circ+11^\circ](https://tex.z-dn.net/?f=7x-4x%3D58%5E%5Ccirc%2B11%5E%5Ccirc)
![3x=69^\circ](https://tex.z-dn.net/?f=3x%3D69%5E%5Ccirc)
![x=\frac{69}{3}=23^\circ](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B69%7D%7B3%7D%3D23%5E%5Ccirc)