2 is the answer 23:35677544
Answer:
slope of the first line: 1
slope of the second line: 0.778
slope of the third line: 0.375
slope of the fourth line: 1.25
Step-by-step explanation:
Given two points (x1, y1) and (x2, y2), the slope of a line is computed as follows:
slope = (y2 - y1)/(x2 - x1)
Therefore,
slope of the first line: [5 - (-4)]/[4 - (-5)] = 1
slope of the second line: [5 - (-2)]/[4 - (-5)] = 0.778
slope of the third line: [2 - (-1)]/[3 - (-5)] = 0.375
slope of the fourth line: [5 - (-5)]/[4 - (-4)] = 1.25
You can graph them on Desmos, then use this attachment to find out the classification.
In the first system, they're the same line and have infinitely many solutions, therefore the answer is consistent, dependent.
In the second system, they're parallel lines with no solution, therefore the answer is inconsistent.
In the third system, they intersect and they have one solution, therefore the answer is consistent, independent.
In the fourth system, they're the same line and have infinitely many solutions, therefore the answer is consistent, dependent.
Answer:
∠A = 88°
∠B = 92°
∠C = 88°
∠D = 92°
Step-by-step explanation:
∠A + ∠B = 180°
(2x + 4) + (3x - 34) = 180
reduce:
5x - 30 = 180
5x = 210
x = 42
∠A = 2(42) + 4 = 88°
∠B = 3(42) -34 = 92°
∠C = ∠A = 88°
∠D = ∠B = 92°
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