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liberstina [14]
3 years ago
8

Shannon is asked to draw a quadrilateral with the following specifications.

Mathematics
2 answers:
Mashutka [201]3 years ago
4 0
C.Exactly one quadrilateral exists with the given conditions and it must be a rhombus.
Marianna [84]3 years ago
3 0

Answer:

C. Exactly one quadrilateral exists with the given conditions, and it must be a rhombus.

Step-by-step explanation:

Rectangular

Has 4 sides that are the same length

Has 4 angles of 90 degrees

Has 4 axes of rotation and folding symmetry

꧁༺62ᴅᴏᴄ༻꧂

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Find the distance between the points.<br> (r, s) and (0, 0)
zhenek [66]

Answer:  \sqrt{r^2+s^2

=====================================================

Reason:

Plot the points (0,0) and (r,s). You can place (r,s) anywhere you want.

Connect the two points mentioned and form a right triangle such that the segment from (0,0) to (r,s) is the hypotenuse of said right triangle.

The horizontal leg has a length of r-0 = r units, while the vertical leg will be 's' units.

Check out the diagram below.

We then apply the pythagorean theorem to say r^2+s^2 = h^2 where h is the hypotenuse. Solving for h gets us h = \sqrt{r^2+s^2}. We only focus on the positive square root since a negative hypotenuse makes no sense.

Since we made the hypotenuse the segment with endpoints (r,s) and (0,0), this means the hypotenuse length and the distance are the same thing.

Therefore, the distance from (r,s) to (0,0) is \sqrt{r^2+s^2}

As an alternative, you can use the distance formula to get the same answer. The distance formula is effectively the pythagorean theorem phrased a different way.

5 0
2 years ago
A number between 1 and 3 is chosen 30 times. Results are shown in the table below. What is the experimental probability of picki
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