Answer: ∠P= 20°
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Step-by-step explanation: Well we know that the sum of a triangle always equals to 180°, so ∠P + 80 +80 = 180°
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∠P + 160 = 180
Subtract 160 from both sides, 160 on the left is cancelled so that 180-160 equals 20
∠P=20°
A relation is (also) a function if every input x is mapped to a unique output y.
In terms of graphical representation, this implies that a graph represents a function if there doesn't exist a vertical line that intersects the graph more than once. So:
- The first graph is exactly a vertical line, so it's not a function.
- The second graph represents the function y=x, so it's a function: you can see that every possible vertical line crosses the graph only once.
- The third graph is not a function, because you can draw vertical lines that cross the graph twice.
- Similarly, in the fourth graph you can draw vertical lines that cross the graph twice
- The fifth graph is a function, because every vertical line crosses the graph once
- The last graph is a function, although discontinuous, for the same reason.
Answer: Line 1: (2, 3) , (4, 12)
m = (12 - 3)/(4 - 2) = 9/2 This is the slope of the line
y = (9/2)x + b
3 = (9/2)(2) + b
3 = 9 + b
b = -6
y = (9/2)x - 6
Line 2: (5, 10) , (14,8)
m = (8 - 10)/(14 - 5) = -2/9
this slope is the opposite sign, and inverse of the first equation's slope. Therefore, the line is perpendicular.
y = mx + b
8 = (-2/9)(14) + b
8 = -28/9 + b
11.11 = b
y = (-2/9)x + 11.11
Step-by-step explanation: Hope this helps :)
Answer:
One unique triangle
Step-by-step explanation:
