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ICE Princess25 [194]
3 years ago
5

Quadrilateral ABCD has the following vertices:

Mathematics
2 answers:
GenaCL600 [577]3 years ago
6 0

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The figure can be shown to be a parallelogram by showing the sum of endpoints of the diagonals is the same.

  A +C = B +D

  (0, 6) +(0, -4) = (0, 2) = (3, 5) +(-3, -3) . . . . diagonals bisect each other

If the diagonals of a quadrilateral bisect each other, it is a parallelogram. A parallelogram with a right angle is a rectangle. So, ABCD is a rectangle.

_____

<em>Additional comment</em>

The midpoint of each diagonal is half the sum of the end point coordinates. That is, the midpoints are (0, 2)/2 = (0, 1). Since calculation of the midpoints requires both sums be divided by 2, we can tell the midpoints are the same if the sums are the same.

ohaa [14]3 years ago
6 0

Answer:

Yes, because opposite sides are parallel, and \angle A∠Aangle, A is a right angle.

Step-by-step explanation:

khan academy

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Researchers capture and mark 43 squirrels in a park. The next week, researchers capture 50 squirrels and 38 of them are marked f
Vlada [557]

The question is an illustration of sample and population, and the estimate of the population of squirrel in the park is 55

<h3>How to determine the population of squirrel?</h3>

The given parameters are:

Marked squirrels = 43

Captured squirrels = 50

Of the 50 captured squirrels, 38 are from the marked squirrels.

This means that the number of unmarked squirrels is:

Unmarked = 50 - 38

Evaluate

Unmarked = 12

The population of the squirrel is then calculated using:

Population = Marked + Unmarked

So, we have:

Population = 43 + 12

Evaluate the sum

Population = 55

Hence, the estimate of the population of squirrel in the park is 55

Read more about population at:

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6 0
2 years ago
This diagram is a straightedge and compass construction. A is the center of one circle,
zepelin [54]

ABC is a equilateral triangle .

Proof :-

Let's assume both circles as C1 and C2 [ as shown in the figure ]

  • AB is the radius of circle C1
  • AB is the radius of Circle C2

AC is the radius of circle C1.

BC is the radius of circle C2 .

AB and AC both are radius of circle C1 so both are equal ie AB = AC .

AB and BC both are radius of circle C 2 so both are equal ie AB = BC .

Hence we conclude that .

AB = BC = AC.

So the triangle is equilateral triangle.

6 0
3 years ago
Which model represents the factors of 4x^2-9
dsp73

The model (x+a)(x-a) will represents the factors of 4x²-9 as (2x+3)(2x-3).

<h3>What are the quadratic equations in one variable completing the squares method?</h3>

The "completing the squares" method aims to construct a quadratic equation of the form where the x variable is entirely covered by a single squared term, which is the square of a linear expression in x, as the name suggests.

The quadratic equation can resemble this:

x²-a² = (x+a)(x-a)

Given equation;

⇒4x²-9

⇒(2x)²-3²

The equation can be modeled as;

(2x+3)(2x-3)

Hence the model (x+a)(x-b) will represents the factors of 4x²-9 as (2x+3)(2x-3).

To learn more about completing the squares method refer to:

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8 0
1 year ago
PLEASE HELP I WILL MARK BRAINLIEST
Gnom [1K]

Answer:

is C 4,816

Step-by-step explanation:

four thousand is 4,000 eight hundred is 800 sixteen 16

4000+800+16=4,816

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2 years ago
The wholesale cost for a baseball glove at a sporting goods store is $16.50. The store plans to mark up the glove by 120%.
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Answer:

<u>See </u><u>Attachment</u>

Step-by-step explanation:

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