For the units positions of all numbers we have:
![z+7+5=4 \\ z+12=4](https://tex.z-dn.net/?f=z%2B7%2B5%3D4%20%5C%5C%20z%2B12%3D4)
From this we can conclude that total sum of these three numbers is 14. Number 1 we carry to next step. So we have:
![z+12=14 \\ z=2](https://tex.z-dn.net/?f=z%2B12%3D14%20%5C%5C%20z%3D2)
For the tens positions of all numbers we have:
![4+2+x+1=1 \\ 7+x=1](https://tex.z-dn.net/?f=4%2B2%2Bx%2B1%3D1%20%5C%5C%207%2Bx%3D1)
The extra number 1 on left side comes from the carry from last step. Similar to ones position we know that total sum is 11.
![7+x=11 \\ x=4](https://tex.z-dn.net/?f=7%2Bx%3D11%20%5C%5C%20x%3D4)
Now we insert x and z to find out y:
![42+27+45=y14 \\ 114=y14 \\ y=1](https://tex.z-dn.net/?f=42%2B27%2B45%3Dy14%20%5C%5C%20114%3Dy14%20%5C%5C%20y%3D1)
Now we need to find out the product of these three numbers:
Area of triangle = 1/2 bh
60 = 1/2 (15) h
8 = h
Quadrilateral area = h x (b1 + b2)/2 = 8 x (15+9)/2 = 96 sq units
96 -60 = triangle BAD area = 36 sq units
Answer: l = 60 ft and w = 30 ft
P = 2(l + w)
180 = 2(l + w)
Let x = width of his yard
Let 2x = length of his yard
![180=2(2x+x)](https://tex.z-dn.net/?f=180%3D2%282x%2Bx%29)
![\frac{180}{2}=\frac{2(2x+x)}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B180%7D%7B2%7D%3D%5Cfrac%7B2%282x%2Bx%29%7D%7B2%7D)
![90=3x](https://tex.z-dn.net/?f=90%3D3x)
![\frac{90}{3} =\frac{3x}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B90%7D%7B3%7D%20%3D%5Cfrac%7B3x%7D%7B3%7D)
![x=30ft](https://tex.z-dn.net/?f=x%3D30ft)
l = 2x = 30(2) = 60 ft
Check:
180 = 2(l + w)
180 = 2(60 + 30)
180 = 2(90)
180 = 180
LS = RS
Answer:
1). (B) ; 2). (A) ; 3). (C)
Step-by-step explanation:
1). { - 4, - 1, 0, 4 }
2). { - 5 }
3). m = 0