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laila [671]
2 years ago
13

which of the following is a characteristic of the circumcenter of a triangle? multi-choice. A. it is the center of the only circ

le that can be inscribed in the triangle. , B. it is the center of the circle that can be inscribed in given a given triangle. C. it is the center of the only circle that can be circumscribed about the triangle. D. it is equidistant from all three sides of the triangle.
Mathematics
1 answer:
Veronika [31]2 years ago
5 0

Answer:

C

Step-by-step explanation:

The circumcenter is called ”the circumcenter” because it is the center of the circle that ”circumscribes” the triangle.

I hope this helps!

Further explanation:

For a circle to circumscribe something, it circles it so that each of the vertices are on the circle, so each of the vertices are equidistant from the circumcenter. The circumcenter of a triangle is formed by the perpendicular bisectors of its sides.

Side note:

The rest of the choices describe an incenter.

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1. A man has 5 grandchildren, 4 girls and 1 boy. He thinks this is unusual. If the probability that any child born
mojhsa [17]

Answer:

6.25%

Step-by-step explanation:

To know the final probability that this has happened, we must multiply the probability of each event, they tell us that the probability that it is a girl is 1/2 and this happened 4 times, therefore:

(1/2) ^ 4 = 0.0625

that is, the probability that 4 girls are born is 6.25%

an unusual probability is considered when it is less than 5%, therefore, although it approaches this figure, it is not unusual

4 0
2 years ago
How do the angle measures of polygon ABCD compare with the angle measures in the reflected image? How do the side lengths compar
Tresset [83]

The measures of the angles ABCD are the same as the measures of the angles that is corresponding based on the reflected images.

<h3>How to show that the angles are equal</h3>

Based on the fact that this is a reflection, the angles would be equal measures.

What this means is that there is a preservation of the of the reflected image. This is the same logic for the length of the sides.

The reflection is known to be a rigid type of transformation that is known to have its angles and sides preserved.

Read more on reflection in mathematics here:

brainly.com/question/1908648

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8 0
2 years ago
What number makes the expressions equivalent? Enter your answer in the box. 1/2(–1.4m + 0.4) =__m + 0.2A) -1.4B) 1.4C) -0.7D) 0.
Snowcat [4.5K]

Answer:

C. -0.7

Explanation:

Given the equation:

\frac{1}{2}(-1.4m+0.4)=\boxed{\square}_{}m+0.2​

First, distribute the bracket on the left-hand side:

\begin{gathered} \frac{1}{2}(-1.4m)+\frac{1}{2}(0.4) \\ =-0.7m+0.2 \end{gathered}

The number that makes the given expressions equivalent is -0.7.

The correct choice is C.

6 0
1 year ago
Which of the following is an inequality sentence?
ziro4ka [17]

Answer:

C. x

Step-by-step explanation:

  • Option A [x+5=20]tells us that: When we add 5 to a variable x, we get 20. As it has a unique value for x and is completely equal to it(i.e. 15), It is an equality.
  • Option B[x=5] tells us that: A variable x equals to 5. Hence, as x is unique for 5 and is wholly equal to it, it's an equality too.
  • Option C[x tells us that: A variable x isn't 5 but lesser than it. As we cannot equate it to 5, nor we are given the nature of the variable x, it is an Inequality.
  • Option D[x+5] is an expression; It can't be called an equation or an inequality unless we relate it with another expression.

3 0
2 years ago
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When planning road development, the road commission
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Answer:

D

Step-by-step explanation:

6 0
3 years ago
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