Answer:
The required result is proved with the help of angle bisector theorem.
Step-by-step explanation:
Given △ABD and △CBD, AE and CE are the angle bisectors. we have to prove that 
Angle bisector theorem states that an angle bisector of an angle of a Δ divides the opposite side in two segments that are proportional to the other two sides of triangle.
In ΔADB, AE is the angle bisector
∴ the ratio of the length of side DE to length BE is equal to the ratio of the line segment AD to the line segment AB.
→ (1)
In ΔDCB, CE is the angle bisector
∴ the ratio of the length of side DE to length BE is equal to the ratio of the line segment CD to the line segment CB.
→ (2)
From equation (1) and (2), we get
Hence Proved.
We will see that the solution in the given interval is: x = 0.349 radians.
<h3>How to solve equations with the variable in the argument of a cosine?</h3>
We want to solve:
cos(3*x) = 1/2
Here we must use the inverse cosine function, Acos(x). Remember that:
cos(Acos(x)) = Acos(cos(x)) = x.
If we apply that in both sides, we get:
Acos( cos(3x) ) = Acos(1/2)
3*x = Acos(1/2)
x = Acos(1/2)/3 = 0.349
So x is equal to 0.349 radians, which belongs to the given interval.
If you want to learn more about trigonometry, you can read:
brainly.com/question/8120556
Answer:
A. yes
Step-by-step explanation:
The contestant has a 60% chance of winning because they could either spin 1, 3, or 5.
However, unless there's another player who can only spin evens, it's not fair, because the contestant who spins odds has a 60% chance, while this player will only have a 40% chance.
Answer:
<h3>9.43</h3>
Step-by-step explanation:
The formula for calculating the distance between two points is expressed as
D =√(x2-x1)²+(y2-y1)²
Given the coordinates (0,0) and (8,5)
D = √(5-0)²+(8-0)²
D = √5²+8²
D = √25 + 64
D = √89
<em>D = 9.43</em>
<em>Hence the distance between the life guard and the swimmer is 9.43</em>
<em></em>
You would first put 168 over 4 and simplify to get 42 over 1. Then you would divide 504 by 42 to get 12. You would have to drive 12 hours to get 504 miles.
