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3 years ago

Tell which line contains each point for triangle ABC.

Mathematics

1 answer:

gavmur [86]3 years ago

5 0

5. The line that contains the circumcenter in ΔABC is: <em>line k.</em>

6. The line that contains the orthocenter in ΔABC is: <em>line m.</em>

7. The line that contains the centroid in ΔABC is: <em>line l.</em>

8. The line that contains the centroid in ΔABC is: <em>line n.</em>

<h3>What is the Circumcenter of Triangle?</h3>

Circumcenter is the point where all three perpendicular bisectors of the three sides of a triangle meet and they are of equal distance from the three vertices of the triangle.

The line that contains the circumcenter in ΔABC is: <em>line k.</em>

<h3>What is the Orthocenter of a Triangle?</h3>

Orthocenter is the point in a triangle where the three altitudes that are perpendicular to the opposite sides and connect with the vertices of the triangle intersect.

The line that contains the orthocenter in ΔABC is: <em>line m.</em>

<h3>What is the Centroid of a Triangle?</h3>

The centroid of a triangle is a the point of intersection where all three medians of a triangle. Medians of a triangle connects the vertices to the midpoints of the opposite sides of a triangle.

The line that contains the centroid in ΔABC is: <em>line l.</em>

<h3>What is the Incenter of a Triangle?</h3>

The incenter of a triangle is the point in a triangle where all three angle bisectors of the vertices of a triangle.

The line that contains the centroid in ΔABC is: <em>line n.</em>

Learn more about centers of a triangle on:

brainly.com/question/16045079

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Y= -7x-2<br> y+ 3 = -7x + 1<br> (<br> 2,3)<br> no solution<br> an infinite number of solutions

Naya [18.7K]

Answer:

Infinite number of solutions.

Step-by-step explanation:

y = -7x - 2

y + 3 = -7x + 1

Subtract 3 from both sides:

y = -7x - 2

- this is the same as the first equation.

We can put any number of valid combinations of x and y into this equation.

So there are infinite solutions.

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3 years ago

What is the answer to: 25% of 80?

kicyunya [14]

Answer:

25% of 80

<=> 25/100 of 80

<=> 1/4 of 80

<=> 80/4 = 20

6 0

3 years ago

Nathan needs some paint for his bedroom. He finds two cans of white paint, four cans of green paint and three cans of pink paint

horsena [70]

The probability of randomly selecting a can of pink paint is P = 1/3, so the correct option is A.

<h3>What is the chance that he will paint his bedroom pink?</h3>

Assuming that all the cans of paint have the same probability of being randomly selected, the probability that he will choose a pink can is equal to the quotient between the number of pink cans and the total number of cans.

There are 2 cans of white, 4 cans of green, and 3 cans of pink, so a total of 9 cans.

Then the probability is:

P = 3/9 = 1/3.

The correct option is A.

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2 years ago

Calcular la edades actuales de una madre y sus dos hijos sabiendo que hace 14 años la dad de la madre era 5

rodikova [14]

The present age of mother and her daughter respectively are; 40 and 10 years respectively.

<h3>How to Solve Algebra Word Problems?</h3>

Let x and y be the present age of mother and her daughter respectively.

Therefore;

x + y = 50

x = 50 − y .....(1)

After 20 years, mother's age will be twice her daughter's age at the time. Thus;

x + 20 = 2(y + 20)

x − 2y = 20 .....(2)

Plugging eq 1 into eq 2 gives us;

50 − y − 2y = 20

3y = 30

y = 10

Thus;

x = 50 − 10

x = 40

Thus, the present age of mother and her daughter is 40 and 10 years respectively.

Translation of the question into English is;

The sum of the present ages of mother and her daughter is 50 years. After 20 years, mother's age will be twice her daughter's age at the time. Find their present ages.

Read more about Algebra Word Problems at; brainly.com/question/21405634

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6 0

2 years ago

Kwamee created a coffee blend for his cafe by mixing Kona beans and Fuji beans. Kona beans cost $11 per pound and Fuji beans cos

yKpoI14uk [10]

Let's use K for Kona and F for Fuji. The system of equations has to be a balanced system. For example, you can't mix the number of pounds of beans with the cost for each because pounds and dollars are different and you can only combine like terms...pounds with pounds and dollars with dollars. So let's start with the number of pounds. Since we don't know how much of each he bought we have the 2 unknowns, F and K, but we DO know that he bought 23 pounds total. So the first equation is
K + F = 23
Now let's see what we can do with the dollars. Again, we don't know how much he bought of each kind of coffee, but we do know that Kona beans cost $11 per pound and that Fuji beans cost $7.50 per pound, and we know that he spent a total of $197. So let's set that up:
11K + 7.50F = 197
Those are your 2 equations. It doesn't say you need to solve them, so you're done.

7 0

3 years ago