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uranmaximum [27]
4 years ago
15

Match the correct theorem or postulate with the correct statement.

Mathematics
1 answer:
Roman55 [17]4 years ago
4 0

1. Unique line postulate

Statement: Through any two points, there is exactly one line.

2. Line intersection postulate

Statement: If two lines intersect, then their intersection is exactly one point.

3. Segment addition postulate

Statement: If A, B and C are collinear and B is between A and C, then AB + BC = AC

4. Angle Addition postulate

Statement: If R is in interior of \angle PQS, then m \angle PQR + m \angle RQS = m \angle PQS.

5. Linear pair theorem

Statement: If two angles form a linear pair, then the angles are supplementary.

6. Congruent Complements theorem

Statement: If two angles are complementary to the same angle, then the angles are congruent.

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Step-by-step explanation:

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Answer:

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Darina [25.2K]

Answer:

Different ways to solve a system of linear equations:

isolate one variable in one equation and replace it in the other equation

multiply/divide one equation by a constant and then add/subtract it to the other one, so that only one variable remains

graph the equation and look at the intersection point

If you graph the system:

there is only one solution if the lines intersects at only one point

there is no solution if the lines don't intersect each other (they are parallel)

there are infinitely many solutions if the lines overlap each other (they are the same equation multiplied by some constant)

Step-by-step explanation:

1st system

y = -x – 7  

y = 4/3 x – 7  

solution: x= 0, y = 7

2nd system

y = -3x – 5  

y = x + 3  

solution: x = -2, y = 1

3rd system

y = -2x + 5  

y = 1/3 x – 2

solution:  x = 3, y = -1

4th system

3x + 2y = 2  

x + 2y = -2  

solution: x = 2, y = -2

5th system

x + 3y = -9  

2x – y = -4

solution:  x = -3, y = -2

6th system

x – 2y = 2

-x + 4y = -8

solution:  x = -4, y = -3

7th system

5x + y = -2  

x + y = 2

solution: x = -1, y = -3

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