Answer:
99 gallons of water.
Step-by-step explanation:
2.2 × 9 = 19.8
19.8 × 5 = 99
The Alternate Interior Angle theorem states that when the lines are parallel, the alternate interior angles are equal. Since lines AB and CD are parallel, m∠ACD and m∠BAC are equal. So, the equation would be
![4x-1=x+38](https://tex.z-dn.net/?f=4x-1%3Dx%2B38)
or
![x=13](https://tex.z-dn.net/?f=x%3D13)
.
Well if its 95/100 then you would move the decimal over twice because it's 2 0's and the same thing with 10 move the decimal over 1 because it's 1 zero and if it's not 10 or 100 then you would divide the denominator into the numerator and then when you do that move the decimal over from the front to the back so that's twice then put your percent sign at the end
Step-by-step explanation:
4. : Multiplication Equality
Addition Equality
Check:
![5 - 2y = 19](https://tex.z-dn.net/?f=5%20-%202y%20%3D%2019)
![- 2y = - 14](https://tex.z-dn.net/?f=%20-%202y%20%3D%20%20-%2014)
![y = 7](https://tex.z-dn.net/?f=y%20%3D%207)
5.
Division Equality
Multiplication Equality
Subtraction Equality
Check:
![\frac{5m}{4} - 3 = - 13](https://tex.z-dn.net/?f=%20%5Cfrac%7B5m%7D%7B4%7D%20%20-%203%20%3D%20%20-%2013)
![\frac{5m}{4} = - 10](https://tex.z-dn.net/?f=%20%5Cfrac%7B5m%7D%7B4%7D%20%20%3D%20%20-%2010)
![5m = - 40](https://tex.z-dn.net/?f=5m%20%3D%20%20-%2040)
![m = - 8](https://tex.z-dn.net/?f=m%20%3D%20%20-%208)
6.
Multiplication Equality
Addition Equality
Division Equality
Check:
![\frac{ - 25r + 13}{4} = - 3](https://tex.z-dn.net/?f=%20%20%5Cfrac%7B%20-%2025r%20%2B%2013%7D%7B4%7D%20%20%3D%20%20-%203)
![- 25r + 13 = - 12](https://tex.z-dn.net/?f=%20-%2025r%20%2B%2013%20%3D%20%20-%2012)
![- 25r = - 25](https://tex.z-dn.net/?f=%20-%2025r%20%3D%20%20-%2025)
![r = 1](https://tex.z-dn.net/?f=r%20%3D%201)
8.
t=3,. Given
![3t = 9](https://tex.z-dn.net/?f=3t%20%3D%209)
Justification: Multiply both sides by 3
Step 2:
![3t + 50 = 59](https://tex.z-dn.net/?f=3t%20%2B%2050%20%3D%2059)
Add 50 to both sides.
Step 3:
![\frac{3t + 50}{4} = \frac{59}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3t%20%2B%2050%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7B59%7D%7B4%7D%20)
Divide both sides by 4.
Check
![\frac{3t + 50}{4} = \frac{59}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3t%20%2B%2050%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7B59%7D%7B4%7D%20)
![3t + 50 = 59](https://tex.z-dn.net/?f=3t%20%2B%2050%20%3D%2059)
![3t = 9](https://tex.z-dn.net/?f=3t%20%3D%209)
![t = 3](https://tex.z-dn.net/?f=t%20%3D%203)
Angle:
![\frac{5\Pi}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5CPi%7D%7B4%7D)
Simplify the angle:
![\begin{gathered} \frac{5\Pi}{4}=\frac{5\times180^o}{4} \\ \frac{5\Pi}{4}=5\times45^o \\ \frac{5\Pi}{4}==225^o \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B5%5CPi%7D%7B4%7D%3D%5Cfrac%7B5%5Ctimes180%5Eo%7D%7B4%7D%20%5C%5C%20%5Cfrac%7B5%5CPi%7D%7B4%7D%3D5%5Ctimes45%5Eo%20%5C%5C%20%5Cfrac%7B5%5CPi%7D%7B4%7D%3D%3D225%5Eo%20%5Cend%7Bgathered%7D)
Plot the angle 225 degree
Draw x and y axis