Answer:
x coordinate is negative
y coordinate is positive
Step-by-step explanation:
We know that
Hence
Hence our angle lies in the second quadrant. Second quadrant is enclosed by the negative x axis and positive y axis.
In second quadrant, we have negative value if x coordinate and positive value of y coordinate.
Given parameters:
First point = (12, -5)
Second point = (10, -4)
Unknown:
Slope of the line = ?
Slope is simply the vertical rise divided by the horizontal distance.
Slope =
Simply to find slope;
Slope =
First point = (12, -5), x₁ = 12 and y₁ = -5
Second point = (10, -4), x₂ = 10 and y₂ = -4
Input the parameters:
Slope =
=
= -
The slope of the line is -
Answer:
A = 52°, a = 149.2, c = 174.3
Step-by-step explanation:
Technology is useful for this. Many graphing calculators can solve triangles for you. The attachment shows a phone app that does this, too.
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The Law of Sines can give you the value of c, so you can choose the correct answer from those offered.
c = sin(C)·b/sin(B) = sin(113°)·49/sin(15°) ≈ 174.271 ≈ 174.3 . . . . . third choice
