Answer:
x = 1
Step-by-step explanation:
It is given that,
∠A and ∠B are vertical angles.
∠A = (5x – 4) and ∠B = (2x – 1)
We need to find the value of x.
We know that, the vertical angles are equal. So,
∠A=∠B
(5x – 4)=(2x – 1)
Taking like terms together,
5x-2x = 4-1
3x=3
x = 1
So, the value of x is equal to 1.
Answer:
C. 97.5 yd
Step-by-step explanation:
The distance between Marsha, the ball and the tee for the fourth hole, forms a triangle.
Thus, the distance between Marsha's ball and the hole can be calculated using the Cosine formula below:
c² = a² + b² - 2abcos(C)
Where,
c = distance between Marsha's ball and the hole = ?
a = distance between the tee for the fourth hole and the tee = 300 yd
b = distance between tee and the hole = 255 yd
C = 18°
c² = 300² + 255² - 2(300)(255)cos(18)
c² = 90000 + 65025 - 153000 × 0.951
c² = 155025 - 145503
c² = 9522
c = √9522 ≈ 97.5
c = distance between Marsha’s ball and the hole = 97.5 yd (nearest tenth)
Answer:
3 miles
Step-by-step explanation:
1.7 carry a one because 3+7 is 10
+ 1.3
--------
3.0
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