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
Answer:
127
Step-by-step explanation:
3 x 7 + 5 - 2 - 3 + y
y = 106
3x7 = 21
21 + 5 = 26
26 - 2 = 24
24 - 3 = 21
21 + 106 = 127
Answer:
Step-by-step explanation:
The diagonals of a parallelogram bisect each other.
5y - 8 = 3y + 1 Add 8 to both sides
5y = 3y + 1 + 8 Subtract 3y from both sides
5y - 3y = 9 Combine
2y = 9 Divide by 2
2y/2 =9/2
y = 4. 5
5y - 8 =
5(4.5) - 8 =
22.5 - 8 =
14.5
That represents 1/2 of MO
MO = 2 * 14.5
MO = 29
Answer:
okay so,
so do a 16 by 14 rectangle it should be good
sry if its wrong i tried but i hope it helped ;0
Answer:
x = 4 ±9i
Step-by-step explanation:
x^2 - 8x + 97 = 0
Complete the square by subtracting 97 from each side
x^2 - 8x =- 97
Take the coefficient of x
-8 and divide by 2
-8/2 = -4
Then square it
(-4)^2 = 16
Add it to each side
x^2 - 8x + 16 = -97+16
(x-4)^2 = -81
Take the square root of each side
x-4 = ±sqrt(-81)
x-4 = ±9i
Add 4 to each side
x = 4 ±9i