In this pattern , the numbers are doubling..
2,4,6,8,10...
Answer:
AB // CD and AD // BC, then ABCD is a parallelogram
Step-by-step explanation:
Step 2: Show AD // BC
A = (-3 , 3) and D = (0 , 0)
Find the slope of AD
![m_{AD}=\frac{0-3}{0--3}=\frac{-3}{3}=-1](https://tex.z-dn.net/?f=m_%7BAD%7D%3D%5Cfrac%7B0-3%7D%7B0--3%7D%3D%5Cfrac%7B-3%7D%7B3%7D%3D-1)
B = (2 , 5) and C = (5 , 2)
![m_{BC}=\frac{2-5}{5-2}=\frac{-3}{3}=-1](https://tex.z-dn.net/?f=m_%7BBC%7D%3D%5Cfrac%7B2-5%7D%7B5-2%7D%3D%5Cfrac%7B-3%7D%7B3%7D%3D-1)
The slope of AD = the slope of BC
So AD // BC because they have the same slope
Step 3:
Each two opposite sides are parallel in quadrilateral ABCD
So the quadrilateral is a parallelogram
It is different because you are doing a different method to complete the problem. It is the same because it ends up with the same answer, provided you complete the process correctly.
Answer:
2.5 pi
Step-by-step explanation:
Comment
If you were trying to get the area of a whole circle, you would use
Area = pi r^2
You have to modify the formula to show that just part of the circle has an area that you are interested in.
The new formula is
Area = (theta/360) pi r^2
Givens
r = 30 cm
theta = 100
Solution
Area = (100 / 360) * pi * r^2 Substitute the givens into this formula
Area = (5 / 18) * pi * 3^2 Expand
Area = (5 / 18) * pi * 9 Cancel 9 into 18
Area = 5/2 * pi
Area = 2.5 * pi