Answer:
x =15 + 30n
Step-by-step explanation:
8cos(12x)+4=-4
Subtract 4 from each side
8cos(12x)+4-4=-4-4
8cos(12x)=-8
Divide by 8
8/8cos(12x)=-8/8
cos(12x) = -1
Take the arccos on each side
arccos(cos(12x)) = arccos(-1)
12x = 180 degrees
But we can go around in a circle of 360 and get the same result
12 x = 180+360n where n is an integer
Divide each side by 12
x = 180/12 +360n/12
x =15 + 30n
The angle the golfer went off line from the tee when they drove the ball
is
because the cosine rule has been applied to calculate the angle
From the question we are told that:
Distance of hole from tee 
Distance to the right 
Ball distance from hole 
Given that the three points form a triangle x,y,z respectively
Where



Using Cosine Rule

Therefore




In conclusion the angle the golfer went off line from the tee when they
drove the ball is mathematically deducted and give as

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Answer:
4/12, 5/12, 6/12, 7/12
Step-by-step explanation:
1/4 x 3/3 = 3/12
2/3 x 4/4 = 8/12
between 3/12 and 8/12
4/12, 5/12, 6/12, 7/12
you can simplify these if you wish
Hope that helped!!! k
X=105°
Y=105°
Z=105°
let the angle below 75° which is the 4th Street be A
75°+A=180°[being adjacent angle]
A=105°
X=A[Verticall opposite angle]
Z=A[Corresponding angle]
Y=X[alternate angle]