The easiest way to compare fraction is to make them all have the same denominator and then you can just compare the numerators...
-1/6, (5/3)(2/2), -5/6
-1/6, 10/6, -5/6 so from least to greatest
-5/6, -1/6, 10/6
-5/6, -1/6, 5/3
Answer:
Option D. ![40\°](https://tex.z-dn.net/?f=40%5C%C2%B0)
Step-by-step explanation:
we know that
The inscribed angle measures half that of the arc comprising
so
![m](https://tex.z-dn.net/?f=m%3CQPS%3D%5Cfrac%7B1%7D%7B2%7D%28minor%5C%20arc%5C%20QS%29)
we have
----> given problem
substitute
![20\°=\frac{1}{2}(minor\ arc\ QS)](https://tex.z-dn.net/?f=20%5C%C2%B0%3D%5Cfrac%7B1%7D%7B2%7D%28minor%5C%20arc%5C%20QS%29)
![40\°=(minor\ arc\ QS)](https://tex.z-dn.net/?f=40%5C%C2%B0%3D%28minor%5C%20arc%5C%20QS%29)
Rewrite
![minor\ arc\ QS=40\°](https://tex.z-dn.net/?f=minor%5C%20arc%5C%20QS%3D40%5C%C2%B0)
Answer:
![\huge\boxed{x=0}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7Bx%3D0%7D)
Step-by-step explanation:
![-2(4x+3)=12x-6\qquad\text{divide both sides by (-2)}\\\\4x+3=-6x+3\qquad\text{subtract 3 from both sides}\\\\4x=-6x\qquad\text{add}\ 6x\ \text{to both sides}\\\\10x=0\qquad\text{divide both sides by 10}\\\\\boxed{x=0}\\\\=================================](https://tex.z-dn.net/?f=-2%284x%2B3%29%3D12x-6%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%20%28-2%29%7D%5C%5C%5C%5C4x%2B3%3D-6x%2B3%5Cqquad%5Ctext%7Bsubtract%203%20from%20both%20sides%7D%5C%5C%5C%5C4x%3D-6x%5Cqquad%5Ctext%7Badd%7D%5C%206x%5C%20%5Ctext%7Bto%20both%20sides%7D%5C%5C%5C%5C10x%3D0%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%2010%7D%5C%5C%5C%5C%5Cboxed%7Bx%3D0%7D%5C%5C%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)
![-2(4x+3)=12x-6\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(-2)(4x)+(-2)(3)=12x-6\\\\-8x-6=12x-6\qquad\text{add 6 to both sides}\\\\-8x=12x\qquad\text{subtract}\ 12x\ \text{from both sides}\\\\-20x=0\qquad\text{divide both sides by}\ (-20)\\\\\boxed{x=0}](https://tex.z-dn.net/?f=-2%284x%2B3%29%3D12x-6%5Cqquad%5Ctext%7Buse%20the%20distributive%20property%7D%5C%20a%28b%2Bc%29%3Dab%2Bac%5C%5C%5C%5C%28-2%29%284x%29%2B%28-2%29%283%29%3D12x-6%5C%5C%5C%5C-8x-6%3D12x-6%5Cqquad%5Ctext%7Badd%206%20to%20both%20sides%7D%5C%5C%5C%5C-8x%3D12x%5Cqquad%5Ctext%7Bsubtract%7D%5C%2012x%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5C%5C%5C-20x%3D0%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%7D%5C%20%28-20%29%5C%5C%5C%5C%5Cboxed%7Bx%3D0%7D)
Answer:
3n + 6
Step-by-step explanation:
7.
three times a number: 3n
six more than three times a number: 3n + 6