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GuDViN [60]
3 years ago
5

The system of equations shown is solved using the linear combination method

Mathematics
1 answer:
andriy [413]3 years ago
4 0

Answer: When a system of two linear equations gives an answer of 0=0, there are infinitely many solutions. It also means that the graph represents parallel lines, so the answer is the third choice.

Step-by-step explanation: When it comes to systems of equations in algebra, you will see three types of solutions:

1. When you get an exact value & number for x and y, the system has <u>one solution</u> and is consistent/independent.

2. When you get 0=0 like in this case, the system has <u>infinitely many solutions</u> and is consistent/dependent.

3. When you get numbers that are not equal, for example, 3\neq 5, you have <u>many solutions</u> and the system is inconsistent/independent.

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En la figura, la suma de las medidas p + q + r + s =/In the figure, the sum of the measures p + q + r + s =
sertanlavr [38]

Answer:

I think its 300

Step-by-step explanation

This is from my understanding, so I may be a bit wrong.

1. First observe the amount of triangles that form, you have two main triangles and one isosceles triangle that forms in the middle by how these are joined together.

2. Using this idea we will come up  with the equations of  each triangle that has been formed.

3. We can observe that almost all angles are named with a variable except the one in the middle, being an isosceles we will name the missing variable y.

4. Triangle 1(left side) or T1 equals 180 degrees but what angles form this triangle, these would be p+q+y = 180, T2(right side) = r+s+y = 180

5. After creating these two triangles we notice that we have not taken into account the triangle in the middle, we are given 1 angle of this isosceles. There is a mathematical property which I don't remember the name, but essentially the angle below is the same as the angle above, this being 120 degrees. This will result in T3 = 2y + 120 = 180

6. Solve for y, which gives us y=30, *<em>simple triangle math you know*</em>

7. Finally we fix our equations for p+q+r+s, essentially T1 and T2 will transform into p+q = 180-y and r+s = 180-y, we add them up forming p+q+r+s = 2(180-y)

8. Solve the equation p+q+r+s = 360 - 2y which when adding y becomes p+q+r+s = 360-60 = 300

Notes: when doing these exercises it is important to take into account every triangle, the isosceles triangle is very vital for solving it, as it gives us a way for making an equation that is single handedly dependent on y a constant we can find and use. A good approach for these issues would be writing every piece of information as separate sets and then trying to join them using algebra.

3 0
2 years ago
ASAPPP!!!!!
Sergio039 [100]

Answer:

185

Step-by-step explanation:

45 +70(2) = 185

5 0
3 years ago
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lys-0071 [83]
Weight of other bag would be 14/15 kg
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3 years ago
there are five students in the lunch line. May is 48 inches tall, Ann is 45 inches tall ,Con is 42 inches tall ,Bell is 52 inche
kirill115 [55]
Bell is the tallest person at 52 inches, Con is the shortest person at 42 inches. So  54 - 42 = 12
6 0
3 years ago
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Charmaine reads 18 chapters of a book in 6 hours .What is her rate in chapters per hour?
andrew-mc [135]

Pretty sure its 3 chapters an hour

Becouse if she reads 3 chapters per hours it will be 3 X 6=18

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