Answer:
![B =102](https://tex.z-dn.net/?f=B%20%3D102)
![Y = 32](https://tex.z-dn.net/?f=Y%20%3D%2032)
Step-by-step explanation:
Solving (47):
To solve for B, we have:
--- sum of angles in a triangle
This gives
![B + 78 = 180](https://tex.z-dn.net/?f=B%20%2B%2078%20%3D%20180)
Collect like terms
![B =- 78 + 180](https://tex.z-dn.net/?f=B%20%3D-%2078%20%2B%20180)
![B =102](https://tex.z-dn.net/?f=B%20%3D102)
Solving (48):
To solve for Y, we have:
--- sum of angles in a triangle
This gives
![Y = 180 - X - Z](https://tex.z-dn.net/?f=Y%20%3D%20180%20-%20X%20-%20Z)
Where
-- angle on a straight line
Solve for X
![X=180 -W](https://tex.z-dn.net/?f=X%3D180%20-W)
![X=180 -100 = 80](https://tex.z-dn.net/?f=X%3D180%20-100%20%3D%2080)
So, we have:
![Y = 180 - X - Z](https://tex.z-dn.net/?f=Y%20%3D%20180%20-%20X%20-%20Z)
![Y = 180 - 80 - 68](https://tex.z-dn.net/?f=Y%20%3D%20180%20-%2080%20-%2068)
![Y = 32](https://tex.z-dn.net/?f=Y%20%3D%2032)
A -- "a black card was selected, followed by a white card"
1)
6 + 8 = 14
![P(A)=\frac{6}{14}*\frac{8}{14-1}=\frac{3}{7}*\frac{8}{13}=\frac{24}{91}](https://tex.z-dn.net/?f=P%28A%29%3D%5Cfrac%7B6%7D%7B14%7D%2A%5Cfrac%7B8%7D%7B14-1%7D%3D%5Cfrac%7B3%7D%7B7%7D%2A%5Cfrac%7B8%7D%7B13%7D%3D%5Cfrac%7B24%7D%7B91%7D)
2)
![n(S)=14*13=182](https://tex.z-dn.net/?f=n%28S%29%3D14%2A13%3D182)
Possible events
Answer:
M=x/7 let's say M is what Micheal earned, and so he earns x dollars every seven days
L=2(M)
L=2(x/7)Let's say L is what Lee earned, she earned twice as much as Micheal so 2(x/7)
Total=2(x/7)+x/7
Total=3(x/7) the total earnings is the sum of x/7 and 2x/7 is 3x/7
Answer:
x = ±2
Step-by-step explanation:
3x ^2 -4 = 8
Add 4 to each side
3x ^2 -4+4 = 8+4
3x^2 =12
Divide each side by 3
3x^2 =12
3x^2/3 = 12/3
x^2 = 4
Take the square root of each side
sqrt(x^2) = ±sqrt(4)
x = ±2
The correct answer is option "b", "<span>The Johnsons increased their liquid assets".
</span><span>The inquiry is giving us the accompanying situation: "so as to reduce their debt, the Johnson's sold some land property esteemed at $165,000 for $143,000. They paid off an advance adjust of $100,000 and put the rest in investment funds." We can see that they really lost cash - they got for the house not as much as the house is worth - they diminished their net esteem. Be that as it may, they have more money that they can utilize (the investment funds) - this is called liquid assets, so the right answer is b, The Johnsons expanded their liquid assets.
</span>