Answer: D) 300 degrees (counterclockwise)
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We want to have segment PQ rotate around the center so that it lines up with segment RF. Put another way: we want point P to rotate around the center to have it line up with point R, and we want Q to rotate so that it moves to point F.
Going clockwise, this is a rotation of 60 degrees as the diagram below shows (each blue arc is 30 degrees, so in total it's 30+30 = 60). In that diagram, I'm only focusing on moving point P. Point Q moves in a similar fashion. Since 60 is not an answer, this means 360-60 = 300 must be the answer.
the 20x(8+2) is just two times greater as its 200 instead of 100 which is the other answer
Answer:
Step-by-step explanation:
We are given that 
is in <em>fourth</em> quadrant.
is always positive in 4th quadrant and
is always negative in 4th quadrant.
Also, we know the following identity about 
and 
:
Using \theta_1 in place of \theta:
We are given that 
is in <em>4th quadrant </em>so is negative.
So, value of
Let the number of hours = X
Multiply the speed of each train by the number of hours (x) and add them together to equal the total miles:
75x + 95x = 238
Simplify:
170x = 238
Divide both sides by 170:
x = 238/170
x = 1.4 hours.
Check:
75 x 1.4 = 105 miles
95 x 1.4 = 133 miles
105 + 133 = 238 miles
It will take 1.4 hours ( 1 hour and 24 minutes).
