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Genrish500 [490]
3 years ago
14

Natalie is completing construction of an equilateral triangle inscribed in a circle, as shown below: What should be the next ste

p in her construction?
O Construct a line perpendicular to the line AB to create four congruent quadrants.
O Construct six equal sections around the circle using the original radius as a guide.
O Construct another point C anywhere on the circle to be the third v ertex of her triangle.
O Draw arcs above and below line AB to show where the triangle sides meet.
Mathematics
1 answer:
nika2105 [10]3 years ago
8 0

Answer:

"construct six equal sections around the circle using the original radius as a guide" is the one among the following that  should be the next step in her construction. the correct option among all the options that are given in the question is the second option or option "b". i hope the answer you.

Step-by-step explanation:

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Use a compass and straightedge to construct an equilateral triangle using the length (AB) ̅ for the sides.
Nostrana [21]

For a better understanding of the solution provided here please go through the diagram in the file attached.

Let us begin the construction of the triangle in a step by step fashion.

<u>Step 1</u> Take AB as the base.

<u>Step 2</u> Take the point of the compass and place it on A and take the width of the compass to be AB.

<u>Step 3</u> Make an arc (as shown in green for convenience).

<u>Step 4</u> Now, take the point of the compass and place it on B keeping the width of the compass to be AB.

<u>Step 5</u> Make an arc (as shown in yellow for convenience) such that it intersects the arc made in Step 3 at the point C.

<u>Step 6</u> Join the points A and C, and B and C.

The made triangle is the required equilateral triangle, \Delta ABC. All the sides will be equal to the length AB.


3 0
3 years ago
Two number cubes are rolled. What is the probability of rolling a sum of 9 or a sum that is even?
Murljashka [212]

Well I don't know !
Let's figure it out together.

Each cube can land in 6 different ways, so the total number
of possible results with two cubes is (6 x 6) = 36 .

Now we need to figure out how many of those 36 possibilities
meet your specifications ... either 9 or any even number.

Ways to make 9 :

3 . . . 6
6 . . . 3
4 . . . 5
5 . . . 4

Four ways to make 9.
____________________________

Ways to make an even number:

1 . . . 1
3 . . . 1
1 . . . 3
2 . . . 2
5 . . . 1
1 . . . 5
6 . . . 2
2 . . . 6
6 . . . 4
4 . . . 6
6 . . . 6

Eleven ways to make an even number.
_____________________

Total number of ways to succeed = (4 + 11) = 15 ways

So the probability of succeeding (rolling 9 or an even number)
is

               15 / 36  =  5 / 12  =  0.41666... =  (41 and 2/3) % .

8 0
4 years ago
Read 2 more answers
If MH = 18cm and HA = 29cm, what is MA?
Murrr4er [49]

Answer:

<h2>The leg MA measures 22.7 centimeters.</h2>

Step-by-step explanation:

Assuming that's about a right triangle, the image attached shows a representation of this problem.

We use the Pythagorean Theorem to find the missing leg, which we are gonna call y

29^{2} =18^{2}+y^{2}\\y^{2}=29^{2}-18^{2}\\y=\sqrt{841 - 324}  \approx 22.7 \ cm

Therefore, the leg MA measures 22.7 centimeters.

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3 years ago
Kim wants to earn at least $65 from her two jobs next week. At most, she can work 15 hours. Her first job pays $5 per hour, and
gavmur [86]

Answer:

1

Step-by-step explanation:

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3 years ago
If a baseball player hits a baseball from 4 feet off the ground with an initial velocity of 64 feet per second, how long will it
AleksAgata [21]
Right now that equation is a function of time, h(t), height with respect to time.  If the baseball is on the ground, it has no height.  In other words, its height = 0.  So if we set the equation equal to 0 and solve for t, time, that will tell us the time that the ball had a height of 0.  If you plug those numbers into the quadratic formula, which is the best and most efficient way to factor a quadratic, you will get that the times are -.0615528128 and 4.061552813 seconds.  The 2 things in math that will never EVER be negative are time and distance/length.  So we know that the ball will not hit the ground at -.062 seconds.  Therefore, it hits the ground 4.06 seconds after it was hit.
7 0
4 years ago
Read 2 more answers
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