Answer:
37 and -18
Step-by-step explanation:
Let one number be x and other y
1 x + 1 y = 19 .............1
1 x -1 y = 55 .............2
Eliminate y
multiply (1)by 1
Multiply (2) by 1
1 x 1 y = 19
1 x + -1 y = 55
Add the two equations
2 x = 74
/ 2
x = 37
plug value of x in (1)
1 x + 1 y = 19
37 + 1 y = 19
1 y = 19 -37
1 y = -18
y = -18
37 and -18
We have y - 2 = m(x + 5), where m = (-1 - 2)/(10 + 5) = -3/15 = -1/5;
Then y - 2 = (-1/5)(x + 5);
5y - 10 = (-1)(x + 5);
5y - 10 = -x - 5;
x + 5y - 5 = 0 is the equation of the line.
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Answer: (0,2), (3,0), (6, -2)
It's a six sided polygon. For any polygon the external angles add to 360 degrees. The internal angles shown are the supplements of the external angles. We have
(180 - θ₁) + (180 - θ₂) + ... + (180 - θ₆) = 360
6(180) - 360 = θ₁ + θ₂ + θ₃ + θ₄ + θ₅ + θ₆
720 = θ₁ + θ₂ + θ₃ + θ₄ + θ₅ + θ₆
The six angles add up to 720 degrees, and five of them add to
126+101+135+147+96=605
So y = 720 - 605 = 115
The degree sign is external to y so not part of the answer:
Answer: 115
