Answer:
18 units
Step-by-step explanation:
The centroid is located 1/3 the distance from the midpoint of a side to the opposite vertex. That means ...
CG = 2·DG = 6 + DG
Then
DG = 6 . . . . . . subtract DG from the above equation
Of course, ...
CD = CG +DG = 2·6 +6
CD = 18
Answer:
ABCD is not a parallelogram
Step-by-step explanation:
Use the distance formula to determine whether ABCD below is a parallelogram. A(-3,2) B(-3,3) C (5,-3) D (-1.-5)
We have to find the length of the sides of the parallelogram using the formula below
= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)
For side AB
A(-3,2) B(-3,3)
= √(-3 -(-3))² + (3 -2)²
= √0² + 1²
= √1
= 1 unit
For side BC
B(-3,3) C (5,-3)
= √(5 -(-3))² + (-3 -3)²
= √8² + -6²
= √64 + 36
= √100
= 10 units
For side CD
C (5,-3) D (-1.-5)
= √(-1 - 5)² + (-5 - (-3))²
= √-6² + -2²
= √36 + 4
= √40 units
For sides AD
A(-3,2) D (-1.-5)
= √(-1 - (-3))² + (-5 -2)²
= √(2² + -7²)
= √(4 + 49)
= √53 units
A parallelogram is a quadrilateral with it's opposite sides equal
From the above calculation
Side AB ≠ CD
BC ≠ AD
Therefore, ABCD is not a parallelogram
Since there is a 95% chance that you get two printers right, then you simply square the decimal equivalent which is .95 (Hence, you do .95^2). You will get .9025 (or 90.25%).
For letter b, you simply subtract .9025 from 1.
ans = 1-.9025
ans = .0975 (or 9.75%)
So the answer to B) would be there is a 9.75% chance the probability of a shipment can be rejected.
Answer:
3 1/6
Step-by-step explanation:
19/6= 3.1666666666666 also known as 3 1/6
check your work by multiplying 3 1/6 by 6 and get 19
14 out of 24 can be simplified to 7/12 which is 58.3%
