M Find the measure of the angles.
2 answers:
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An angles vertex is located at (0,0) and the initial ray of the angle points in the 3 oclock direction. Let theta represent the varying radian measure of the angle.
a. if the terminal ray of the angle passes through the point(3.38,2.32), whta is the slope of the terminal ray of the angle?
b. if the terminal ray of the angle passes through the point(1.49,3.82), whta is the slope of the terminal ray of the angle?
c. if the terminal ray of the angle passes through the point(1.1,3.95), what is the slope of the terminal ray of the angle?
Answer:
a. 1.45
b. 2.56
c. 3.59
Step-by-step explanation:
As we know that formula to find the slope is change in y-coordinates divided by change in x-coordinates.
It is given that initial point is (x1,y1)=(0,0)
Part(a)
initial point is (x1,y1)=(0,0)
terminal point is (x2,y2)=(3.38,2.32)
so the slope of the terminal ray is
Part(b)
initial point is (x1,y1)=(0,0)
terminal point is (x2,y2)=(1.49,3.82)
so the slope of the terminal ray is
Part(c)
initial point is (x1,y1)=(0,0)
terminal point is (x2,y2)=(1.1,3.95)
so the slope of the terminal ray is
Answer:
x = 150°
Step-by-step explanation:
The given parameters are;
AB ║ DC
∠BAE = 105°
∠AEC = 25°
We construct a line CF from C parallel to the line AE as presented in the included diagram created with Microsoft Visio
We have;
∠DCF ≅ ∠BAE = 105° by similar angles formed by two pairs of parallel lines
∠AEC = ∠ECF = 25° by alternate interior angles formed by two parallel lines and a common transversal
x = 125° + 25° = 150° By angle addition postulate
x = 150°.
