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ryzh [129]
2 years ago
14

Which of the following is a characteristic of the circumcenter of a triangle? A. It is the center of the circle that can be insc

ribed in a given triangle. B. It is equidistant from all three sides of the triangle. C. It is equidistant from all the vertices in the triangle. D. It is the intersection of all three angle bisectors of the triangle.​

Mathematics
1 answer:
ki77a [65]2 years ago
6 0
Answer is A. It is the center of the circle that can be inscribed in a given triangle
Explanation
The circumcenter is called ”the circumcenter” because it is the center of the circle that ”circumscribes” the triangle.
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Find all solutions of the given system of equations (If the system is infinite many solution, express your answer in terms of x)
lisov135 [29]

Answer:

(a) The system of the equations \left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right. has no solution.

(b) The system of the equations \left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right. has many solutions y=\frac{2x}{3}-\frac{5}{3}

Step-by-step explanation:

(a) To find the solutions of the following system of equations \left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right. you must:

Multiply 2x-3y=3 by 2:

\begin{bmatrix}4x-6y=6\\ 4x-6y=3\end{bmatrix}

Subtract the equations

4x-6y=3\\-\\4x-6y=6\\------\\0=-3

0 = -3 is false, therefore the system of the equations has no solution.

(b) To find the solutions of the system \left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right. you must:

Isolate x for 4x-6y=10

x=\frac{5+3y}{2}

Substitute x=\frac{5+3y}{2} into the second equation

16\cdot \frac{5+3y}{2}-24y=40\\8\left(3y+5\right)-24y=40\\24y+40-24y=40\\40=40

The system has many solutions.

Isolate y for 4x-6y=10

y=\frac{2x}{3}-\frac{5}{3}

3 0
3 years ago
Sequences HW<br><br> Please helpp<br><br> Thank you
Alexus [3.1K]

Answer:

0.30

Step-by-step explanation:

Each number was getting divided by 3 each time

6 0
3 years ago
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Triss [41]

Answer:

See below.

Step-by-step explanation:

a)

105/3 = 35

35/5 = 7

7/7 = 1

429/3 = 143

143/11 = 13

13/13 = 1

105 = 3 * 5 * 7

429 = 3 * 11 * 13

Not co-prime

For the other parts of the problem, do the same I did above. Find the prime factorizations of both numbers, and see if they have any prime factors in common.

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2 years ago
The floor of a shed has an area of 99 square feet. The floor is in the shape of a rectangle whose length is 7 feet less than twi
Gnesinka [82]
4 and 2 i believe is right 
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37,123,745 what the value of the 1
Scrat [10]
To find the value of 1, you would find what place it is in. It is in the 100,000 place.
Next, you would make all the numbers after it 0. 100,000.
The value of 1 is 100,000.
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