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:
(A) x=40
Step-by-step explanation:
Given: It is given that m is parallel to n.
To find: The value of x.
Proof: It is given that m is parallel to n, from the figure it can be seen that 105° and (3x-15)° forms alternate exterior angles which are equal in measure because m is parallel to n.
Thus, 
⇒
⇒
⇒
⇒
Thus, the value of x is 40, hence option A is correct.
The answer is £64.89.
Step by Step:
Take the original price multiplied by 0.03 ( the percent of a booking fee ) and add those amounts together.
Equation: 63 + 1.89 = 64.89
Answer:
(1, 6 )
Step-by-step explanation:
5x + 2y = 17 → (1)
4x + y = 10 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the y- term
- 8x - 2y = - 20 → (3)
Add (1) and (3) term by term to eliminate y
- 3x + 0 = - 3
- 3x = - 3 ( divide both sides by - 3 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for x
Substituting into (1)
5(1) + 2y = 17
5 + 2y = 17 ( subtract 5 from both sides )
2y = 12 ( divide both sides by 2 )
y = 6
solution is (1, 6 )
<1 = <2
vertical angles (congruent)
<3 = <2
corresponding angles (congruent)
so that: <1 = <2 = <3 = 112 degree