Yes they almost always will equal 180 degrees
Answer:
x = 0°
Step-by-step explanation:
![\cos x = 3 \cos x - 2 \\ 2 = 3 \cos x - \cos x \\ 2 = 2\cos x \\ \cos x = \frac{2}{2} \\ \cos x =1 \\ \cos x =\cos 0 \degree \\ \huge \red{ \boxed{x = 0 \degree}} \\](https://tex.z-dn.net/?f=%20%5Ccos%20x%20%3D%203%20%5Ccos%20x%20-%202%20%5C%5C%202%20%3D%203%20%5Ccos%20x%20-%20%5Ccos%20x%20%5C%5C%202%20%3D%20%202%5Ccos%20x%20%5C%5C%20%20%5Ccos%20x%20%3D%20%20%5Cfrac%7B2%7D%7B2%7D%20%20%5C%5C%20%5Ccos%20x%20%3D1%20%5C%5C%20%5Ccos%20x%20%3D%5Ccos%200%20%5Cdegree%20%20%5C%5C%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7Bx%20%3D%200%20%5Cdegree%7D%7D%20%5C%5C%20)
Answer:
<h2>x = -2.2</h2>
Step-by-step explanation:
![-2x-14=7x+6\\\\\mathrm{Add\:}14\mathrm{\:to\:both\:sides}\\-2x-14+14=7x+6+14\\\\Simplify\\-2x=7x+20\\\\\mathrm{Subtract\:}7x\mathrm{\:from\:both\:sides}\\-2x-7x=7x+20-7x\\\\Simplify\\-9x=20\\\\\mathrm{Divide\:both\:sides\:by\:}-9\\\frac{-9x}{-9}=\frac{20}{-9}\\\\x=-\frac{20}{9}\\\left(\mathrm{Decimal}:\quad x=-2.22222\dots \right)\\x =-2.2](https://tex.z-dn.net/?f=-2x-14%3D7x%2B6%5C%5C%5C%5C%5Cmathrm%7BAdd%5C%3A%7D14%5Cmathrm%7B%5C%3Ato%5C%3Aboth%5C%3Asides%7D%5C%5C-2x-14%2B14%3D7x%2B6%2B14%5C%5C%5C%5CSimplify%5C%5C-2x%3D7x%2B20%5C%5C%5C%5C%5Cmathrm%7BSubtract%5C%3A%7D7x%5Cmathrm%7B%5C%3Afrom%5C%3Aboth%5C%3Asides%7D%5C%5C-2x-7x%3D7x%2B20-7x%5C%5C%5C%5CSimplify%5C%5C-9x%3D20%5C%5C%5C%5C%5Cmathrm%7BDivide%5C%3Aboth%5C%3Asides%5C%3Aby%5C%3A%7D-9%5C%5C%5Cfrac%7B-9x%7D%7B-9%7D%3D%5Cfrac%7B20%7D%7B-9%7D%5C%5C%5C%5Cx%3D-%5Cfrac%7B20%7D%7B9%7D%5C%5C%5Cleft%28%5Cmathrm%7BDecimal%7D%3A%5Cquad%20x%3D-2.22222%5Cdots%20%5Cright%29%5C%5Cx%20%3D-2.2)
Answer:
x = 10 feet
Step-by-step explanation:
Given that,
The area of his bathroom is 100 square feet.
We need to find the one side of the square bathroom.
Let the side be x. The area of a square is given by :
![A=x^2\\\\100=x^2\\\\x=10\ \text{feet}](https://tex.z-dn.net/?f=A%3Dx%5E2%5C%5C%5C%5C100%3Dx%5E2%5C%5C%5C%5Cx%3D10%5C%20%5Ctext%7Bfeet%7D)
So, the side of the square bathroom is 10 feet.