Answer:
C) 100°
Step-by-step explanation:
the angles are actually alternate exterior angles, which means that they're equal.
Answer: 30% change in the number of unemployed construction workers over this period
Step-by-step explanation:
September 1, 1992
The total number of construction workers = 1,000 (assume);
16% are unemployed, so the number of unemployed workers is 16*1000/100= 160.
September 1, 1996
The total number of construction workers 20% greater 20*1000/100+1000=1200;
9% are unemployed, thus the number of unemployed workers = 9*1200/100=108.
Decrease is 52, which is approximately 30% of 160.
Answer:
![(3)\ y = -x](https://tex.z-dn.net/?f=%283%29%5C%20y%20%3D%20-x)
![(5)\ y = -3x -2](https://tex.z-dn.net/?f=%285%29%5C%20y%20%3D%20-3x%20-2)
Step-by-step explanation:
Required
The equation in slope intercept form
Solving (3):
![m = -1](https://tex.z-dn.net/?f=m%20%3D%20-1)
![(x_1,y_1) =(4,-4)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%284%2C-4%29)
The equation in slope intercept form is:
![y = m(x - x_1) + y_1](https://tex.z-dn.net/?f=y%20%3D%20m%28x%20-%20x_1%29%20%2B%20y_1)
This gives:
![y = -1(x - 4) -4](https://tex.z-dn.net/?f=y%20%3D%20-1%28x%20-%204%29%20-4)
Expand
![y = -x + 4 -4](https://tex.z-dn.net/?f=y%20%3D%20-x%20%2B%204%20-4)
![y = -x](https://tex.z-dn.net/?f=y%20%3D%20-x)
Solving (5):
![m = -3](https://tex.z-dn.net/?f=m%20%3D%20-3)
![(x_1,y_1) = (1,-5)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%281%2C-5%29)
The equation in slope intercept form is:
![y = m(x - x_1) + y_1](https://tex.z-dn.net/?f=y%20%3D%20m%28x%20-%20x_1%29%20%2B%20y_1)
This gives:
![y = -3(x - 1) - 5](https://tex.z-dn.net/?f=y%20%3D%20-3%28x%20-%201%29%20-%205)
Expand
![y = -3x + 3 - 5](https://tex.z-dn.net/?f=y%20%3D%20-3x%20%2B%203%20-%205)
![y = -3x -2](https://tex.z-dn.net/?f=y%20%3D%20-3x%20-2)
Answer:
2)
d. -1 1/2
3)
c. 21 1/2
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
5(2+4)-(2+3^3)
=5(8)-(2+27)
=40-29
=11