Answer:
![\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x} = \frac{x - 6}{4*x}](https://tex.z-dn.net/?f=%5Cfrac%7B2%2Ax%20-%202%7D%7B2%2Ax%7D%20%20-%20%5Cfrac%7B3%2Ax%20%2B%202%7D%7B4%2Ax%7D%20%3D%20%5Cfrac%7Bx%20-%206%7D%7B4%2Ax%7D)
Step-by-step explanation:
We have the expression:
![\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x}](https://tex.z-dn.net/?f=%5Cfrac%7B2%2Ax%20-%202%7D%7B2%2Ax%7D%20%20-%20%5Cfrac%7B3%2Ax%20%2B%202%7D%7B4%2Ax%7D)
The first thing we want to do, is to have the same denominator in both equations, then we need to multiply the first term by (2/2), so the denominator becomes 4*x
We will get:
![(\frac{2}{2} )\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x} = \frac{4*x - 4}{4*x} - \frac{3*x + 2}{4*x}](https://tex.z-dn.net/?f=%28%5Cfrac%7B2%7D%7B2%7D%20%29%5Cfrac%7B2%2Ax%20-%202%7D%7B2%2Ax%7D%20%20-%20%5Cfrac%7B3%2Ax%20%2B%202%7D%7B4%2Ax%7D%20%3D%20%5Cfrac%7B4%2Ax%20-%204%7D%7B4%2Ax%7D%20%20-%20%5Cfrac%7B3%2Ax%20%2B%202%7D%7B4%2Ax%7D)
Now we can directly add the terms to get:
![\frac{4*x - 4}{4*x} - \frac{3*x + 2}{4*x} = \frac{4*x - 4 - 3*x - 2}{4*x} = \frac{x - 6}{4*x}](https://tex.z-dn.net/?f=%5Cfrac%7B4%2Ax%20-%204%7D%7B4%2Ax%7D%20%20-%20%5Cfrac%7B3%2Ax%20%2B%202%7D%7B4%2Ax%7D%20%3D%20%5Cfrac%7B4%2Ax%20-%204%20-%203%2Ax%20-%202%7D%7B4%2Ax%7D%20%20%3D%20%5Cfrac%7Bx%20-%206%7D%7B4%2Ax%7D)
We can't simplify this anymore
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)
15*2.54 = 38.1
Cause theres 15 of them
<h3>Answer:</h3>
[B] O.
[D] H.
[E] X.
<h3>Explanation:</h3>
"<u>Letters such as H and X also have two lines of Symmetry as it can be symmetrically equally divided by two types. The letter O is unique because it has an infinite number of lines of symmetry. If it is folded over on any diagonal, the two halves of the letter are congruent mirror images</u>."
Answer:
1.Exponent
2.Variable
3.Linear
4.Solution
Umm. there are more pairs then tiles?
Step-by-step explanation: