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pishuonlain [190]
2 years ago
9

Quadrilateral ABCD has vertices AC-3.6), B(6,0), C(9. -9), and D(0, -3). Prove that ABCD is a) a parallelogram​

Mathematics
1 answer:
Nata [24]2 years ago
7 0

9514 1404 393

Explanation:

The quadrilateral will be a parallelogram if the diagonals bisect each other. That will be the case if the sums of their end-point coordinates are the same.

  A + C = (-3, 6) +(9, -9) = (6, -3)

  B + D = (6, 0) +(0, -3) = (6, -3)

Both diagonals have their midpoint at (3, -1.5), so the diagonals are mutual bisectors. The figure ABCD must be a parallelogram.

___

The midpoint of AC is (A+C)/2 = (6, -3)/2 = (3, -1.5).

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Write and expression that represents the difference of 32 and n , multiplied by 10
natali 33 [55]

Answer:

10(32 - n)

Step-by-step explanation:

This is a beginning algebra question. It is trying to find out if you know what a difference is.

A difference always means subtract in math. Always. There are no exceptions.

So the difference between 32 and n is 32 - n

This difference is multiplied by 10

10(32 - n)

Usually the number mentioned first is the number put to the left of the subtract sign.

If you tell me the answer is 10(n - 32) then you should say that it is the difference between n and 32.

7 0
2 years ago
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is
aniked [119]

Answer:

10 three-point questions and 14 five-point questions.

Step-by-step explanation:

x+y = 24

3x+5y = 100

We can solve this system of equations using elimination. In order to do this, let's first multiply the first equation by 3...

3x+3y=72

3x+5y=100

Now, subtract the first equation from the second equation...

2y=28

Divide both sides by 2

y=14

Plug this back into any of the equations to solve for x...

x+14=24

x=10

There were 10 three-point questions and 14 five-point questions

7 0
2 years ago
What is the value of k if k +28=56 ?
USPshnik [31]

k = 29 i think tho

5k - 3 + 9 + k = 180

6k + 6 = 180

6k = 174

k = 29

6 0
3 years ago
Read 2 more answers
4x - 3y = 12 without graph​
Maru [420]

Answer:

Make it an y=mx+b equation. -3y=-4x+12

Divide everything by -3

Answer is y=4/3x-4

Step-by-step explanation:

3 0
3 years ago
How many hours would it take to get 100k gold if i make 540 every ten minutes (and if possible teach me how to do this)
Veseljchak [2.6K]

Answer:

Round the 540 to 500 for ease, if you need 100k and have 500 every ten mins, just cross multiply the equation

Step-by-step explanation:

3 0
3 years ago
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