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2 years ago

True or false? The circumcenter of a triangle is the center of the only circle that can be circumscribed about it

Mathematics

2 answers:

Dafna11 [192]2 years ago

3 0

Answer:

The statement is true.

Step-by-step explanation:

Given the statement we have to tell the statement is true or false.

The statement is

"The circumcenter of a triangle is the center of the only circle that can be circumscribed about it"

The circumcenter of triangle is the point in the triangle where the perpendicular bisectors of sides intersect.

The center of the circumscribed circle is the the point where the perpendicular bisectors of the sides meet.

Hence,

The circumcenter is also center of the triangle's circumcircle - the circle that pass through all three of the triangle's vertices.

Therefore, the given statement is true.

navik [9.2K]2 years ago

3 0

Answer:

True

Step-by-step explanation:

Circumcircle: A circle drawn outside a circle is called circumcircle and its center is called circum-center.

Circum-center of triangle:It is the point where the perpendicular bisectors of a triangle intersect.

The circumcenter of triangle is also the center of triangle's circumcircle.

The circumcenter is equidistant from each vertex of the triangle.

The circumcenter of right triangle falls on the side opposite the right triangle.

Hence, the circumcenter of a triangle is the center of the only circle that can be circumscribed about it.

Answer :True

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spayn [35]

Answer:

10.27 feet/sec.

Step-by-step explanation:

The distance traveled by the car, d in feet, is given by the function $d = 1.1t^{2}$ .......... (1), where t is the time in seconds.

So, at t= 2 sec, from equation (1) we get d = 1.1 × 4 = 4.4 feet.

Again, at t = 5 sec, we get d = 1.1 × 32 = 35.2 feet.

Now, average speed of the car from t = 2 sec. to t = 5 sec. will be give by

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2 years ago

The graph shows the linear relationship between the height of a plant (in centimeters) and the time (in weeks) that the plant ha

Snezhnost [94]

You did not include the graph.

Searching on internet I found a graph with which I can help you. I will solve the question using and so you can understand the problem and solve with the real graph.

1) The slope of line given the graph is calculated as:

slope = run / rise = Δy / Δx = constant.

2) So, you can choose any two points to calculate the slope.

3) Uisng the points (50,20) and (30,10) you get:

slope = [ 20 - 10] / [50 - 30] = 10 / 20 = 1/2

4) Note that that means that the plant grows 1 cm in 2 days

5) The rate of change is 1cm / 2 weeks.

With this you know how to calculate the slope, which is the same rate of change, and the meaning of it, which permits to answer the question from the complete statement and graph.

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3 years ago

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ValentinkaMS [17]

Answer:

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Step-by-step explanation:

It is often useful to plot the given points on a graph. Doing that lets you see the figure is a rectangle. You can count grid squares to see that the distances are the same between the endpoints of opposite sides.

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3 years ago

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elena-s [515]

Answer:

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Step-by-step explanation:

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2 years ago

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RSB [31]

Answer:

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Step-by-step explanation:

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I am joyous to assist you at any time.

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2 years ago