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3 years ago

What is the circumcenter of a triangle with the coordinates of (-3,3) (-3,-2) (1,-2)

Mathematics

1 answer:

antoniya [11.8K]3 years ago

7 0

Answer:

We know that the circumcenter of a right triangle is at the center of the hypotenuse.

Thus, the circumcenter of a triangle is: C(-1, 1/2)

Please check the attached figure.

Step-by-step explanation:

Given the triangle with the coordinates of the vertices

(-3, 3)

(-3, -2)

(1, -2)

First plot the points on the graph, as shown in the attached diagram.

It is clear from the attached diagram that it forms a right triangle.

We know that the circumcenter of a right triangle is at the center of the hypotenuse.

From the attached diagram, it is clear that the center of the hypotenuse lies on C(-1, 1/2).

Thus, the circumcenter of a triangle is: C(-1, 1/2)

Please check the attached figure.

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nignag [31]

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3 years ago

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3 years ago

PLEASE HELP...!!!!!!!!!!

tangare [24]

Answer:

5 and 10

Step-by-step explanation:

You have all the information you need to find the area of the circle and then subtracting that from 77 you'll have the area of the rectangle and will be able to figure out the length and height by looking at the answer options.

So the area of a triangle is 1/2(b x h) or (b x h)/2 so the base is 6 and the height is 9 so the area is 54/2 which equals 27. 77 - 27 = 50 so the area of the rectangle is 50. With the answer options provided I can see that the height of the rectangle is 5 and the length is 10.

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3 years ago

Solve for m 13x - 10 M N 7x - 10

lisov135 [29]

Answer:

x = 10

Step-by-step explanation:

Given:

Arc LM = 13x - 10

Arc MN = 7x - 10

Required:

Solve for x

Solution:

Recall: half a circle = 180°

Therefore,

Arc LM + Arc MN = 180°

13x - 10 + 7x - 10 = 180

Add like terms

20x - 20 = 180

20x - 20 + 20 = 180 + 20

20x = 200

20x/20 = 200/20

x = 10

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3 years ago

Which of the following measurements are greater than 130 fluid ounces? Select all that apply.

Marianna [84]

Hello!

130 ounces is about 4 quarts so 5 quarts is larger

130 ounces is slightly above 16 cups so 16 cups is lower

130 ounces is about 8 pints so 9 pints is larger

130 ounces is slightly above a gallon so 2 gallons is larger

130 ounces is slightly above a gallon so 1 gallon is smaller

The answers are A) 5 quarts, C) 9 pints, and D) 2 gallons

Hope this helps!

3 0

3 years ago