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Pavlova-9 [17]
4 years ago
15

Parallelogram ABCD has the coordinates shown. A(-3,2) B(0,4) C(3,4) Find the coordinates of point D. A) (0, 1) B) (1, 2) C) (2,

2) D) (0, 2)

Mathematics
2 answers:
kupik [55]4 years ago
7 0
In a parallelogram opposite sides are equal and parallel;
Therefore, in this case, AB is equal and parallel to CD, thus, the magnitude of AB is equal to the magnitude of CD
The line BC is equal to line AD and the two lines are parallel to y-axis; 
Since; AB = B - A = (0,4) - (-3,2)= (2,3)
 Assuming the coordinates of D is (x,y) DC= (4-y), (3-x) = (2,3)
Hence; y = 2 and x = 0
Thus; the coordinates of D are (0,2)
vodka [1.7K]4 years ago
7 0

Answer: (0, 2)

Step-by-step explanation: The solution is (0, 2). The sketch is shown below.

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3 years ago
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8 0
3 years ago
Mr. Piper is driving Roddy and Scott home from school. They both want to ride in the front seat. How can he make a fair decision
bagirrra123 [75]

Answer:

A.Put each person's name on a separate piece of paper in a bag. Randomly draw the winning name; and D.Roll a number cube. If it lands on an even number, Roddy wins. If it lands on an odd number, Scott wins.

Step-by-step explanation:

In order for it to be a fair decision, both boys have to have an equal chance of being selected.

For choice A, drawing their names from a bag, both names are equally likely to be chosen; that makes this fair.

For choice B, there is 1 way to get both heads when flipping a coin.  There are 2 ways to get heads and tails when flipping a coin.  This gives Scott a greater chance, so this is not fair.

For choice C, there are 2 ways to get a 1 or a 2.  There are 4 ways to get anything else.  This gives Scott a greater chance, so this is not fair.

For choice D, there are 3 even numbers and 3 odd numbers.  Both boys have an equal chance, so this is fair.

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4 years ago
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djyliett [7]

Answer:

Correct answer is

165 {c}^{6}  {b}^{6}

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3 years ago
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