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Studentka2010 [4]
3 years ago
10

The coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).

Mathematics
2 answers:
zhuklara [117]3 years ago
8 0

Answer: IH = IJ = 3 and JK = HK = StartRoot 29 EndRoot, and IH ≠ JK and IJ ≠ HK.

Step-by-step explanation:

pogonyaev3 years ago
7 0

Answer: The quadrilateral HIJK is a parallelogram.

Explanation:

It is given that the coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).

The parallelogram diagonal theorem states that  the quadrilateral is a parallelogram if both diagonal bisects each other.

If HIJK is a quadrilateral, then HJ and IK are the diagonals of HIJK.

First we find the midpoint of HJ.

\text{Midpoint of HJ}=(\frac{0+4}{2}, \frac{5-1}{2})

\text{Midpoint of HJ}=(2,2)

Now, find the midpoint of IK.

\text{Midpoint of IK}=(\frac{3+1}{2}, \frac{3+1}{2})

\text{Midpoint of IK}=(2,2)

The midpoint of both diagonal are same. It means the diagonals of HIJK bisects each other.

By parallelogram diagonal theorem, we can say that the quadrilateral HIJK is a parallelogram.

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An animal shelter has a 58% adoption rate for puppies. Of all puppies in the shelter, 80% live to be 7 years or older. Of the pu
dexar [7]

Answer:

P(A∩B) = 0.522

Step-by-step explanation:

Let's call A the event that a puppy is adopted and B the probability that a puppy live 7 or more years

So, the probability P(A∩B) that a randomly selected puppy in the shelter will get adopted and live 7 or more years is:

P(A∩B) = P(A)*P(B/A)

Because A and B are not independents.

Then, the probability P(A) that a puppy is adopted is 58% and the probability P(B/A) that a puppy live 7 or more years given that the puppy is adopted is 90%.

Finally, replacing the values, we get:

P(A∩B) = 0.58*0.9 = 0.522

It means that the 52.2% of the puppies are adopted and live 7 or more years.

7 0
3 years ago
A bag contains the following marbles: 5
Inessa [10]

Answer:

5:20

Step-by-step explanation:

There are 5 black marbles and 20 brown marbles.

You would put black marbles (5) first, because it came before brown (20) in the list.

5 0
3 years ago
Read 2 more answers
I’m stuck on this question plz help
Elza [17]

Answer:

3(n-8)

Step-by-step explanation:

5 0
3 years ago
Mrs. diaz makes 5 dozen cookies for her class. one ninth of her 27 students are absent the day she brings the cookies. if she sh
saw5 [17]
Each student gets 2.5 cookies.
We know that there are 24 students there and 60 cookies, (since one ninth of 27 is 3 so 3 students are not there, and 24 are, and that 5 dozen is another way to write 60) we need to divide 60 by 24 which is 2.5.
6 0
3 years ago
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The graph of y=f(x) is given above. For what value of x is y=f(x-4) undefined?
cricket20 [7]
Answer: Choice D) 5

-----------------------------------------------------------
-----------------------------------------------------------

Notice the hole at (1,2). This means x = 1 and y = 2
y = f(x)
y = f(1) after we replace x with 1
y = 2

If we go from f(x) to f(x-4), then we shift the xy axis four units to the left. The curve will stay still though it will move relative to the xy axis. The xy axis moves four units to the left, so it appears that the curve moved 4 units to the right.

Add 4 to the x coordinate: 
x = 1 ---> x+4 = 1+4 = 5
The y coordinate stays the same. No vertical shifting is done.

So we go from (1,2) to (5,2)
(1,2) is a hole on y = f(x)
(5,2) is a hole on y = f(x-4)

This is why the answer is x = 5

8 0
3 years ago
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