The coordinates of an ordered pair have opposite signs. In which quadrant(s) must the ordered pair lie? Explain.

Mathematics

1 answer:

Alex_Xolod [135]2 years ago

7 0

Alright...so the coordinates of an ordered pair have opposite signs [one sign is positive while the other is negative] so we could have an example of (-x,+y) or (+x,-y) ...that means out of the 4 quadrants these points could be in the 2nd quadrant or the 4th quadrant or corners of the graph

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AlekseyPX

Answer:

Triangle 1: x = 80 degrees, acute

Triangle 2: x = 10 degrees, right

Step-by-step explanation:

Triangle 1:

By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation:

$60 + 40 +x = 180$

Solve for x:

$100 + x = 180\\x = 80$

So, x = 80 degrees

Because all the angles are less than 90 degrees, this is an acute triangle.

Triangle 2:

By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation (with the right angle given):

$3x + 60 + 90 = 180$