Lines a and b are cut by transversal f. At the intersection of lines f and a, the top left angle is 96 degrees. At the intersect
ion of lines b and f, the bottom right angle is (6 x minus 36) degrees.
What must be the value of x so that lines a and b are parallel lines cut by transversal f?
10
20
22
32
What must be the value of x so that lines a and b are parallel lines cut by transversal f?
10
20
22
32
2 answers:
Answer:
Option C.
Step-by-step explanation:
It is given that lines a and b are cut by transversal f.
If a transversal line intersect two parallel lines, then the alternate exterior angles are same.
We need to find the value of x so that lines a and b are parallel lines cut by transversal f.
So, equate both alternate exterior angles.
Add 36 on both sides.
Divide both sides by 6.
The value of x is 22. Therefore, the correct option is C.
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Answer:
(a) 0.4096
(b) 0.64
(c) 0.7942
Step-by-step explanation:
The probability that the player wins is,
Then the probability that the player losses is,
The player is playing the video game with 4 different opponents.
It is provided that when the player is defeated by an opponent the game ends.
All the possible ways the player can win is: {L, WL, WWL, WWWL and WWWW)
(a)
The results from all the 4 opponents are independent, i.e. the result of a game played with one opponent is unaffected by the result of the game played with another opponent.
The probability that the player defeats all four opponents in a game is,
P (Player defeats all 4 opponents) =
Thus, the probability that the player defeats all four opponents in a game is 0.4096.
(b)
The probability that the player defeats at least two opponents in a game is,
P (Player defeats at least 2) = 1 - P (Player losses the 1st game) - P (Player losses the 2nd game) =
Thus, the probability that the player defeats at least two opponents in a game is 0.64.
(c)
Let <em>X</em> = number of times the player defeats all 4 opponents.
The probability that the player defeats all four opponents in a game is,
P(WWWW) = 0.4096.
Then the random variable
The probability distribution of binomial is:
The probability that the player defeats all the 4 opponents at least once is,
P (<em>X</em> ≥ 1) = 1 - P (<em>X</em> < 1)
= 1 - P (<em>X</em> = 0)
Thus, the probability that the player defeats all the 4 opponents at least once is 0.7942.
Answer:
Step-by-step explanation:
El diagrama trigonométrico que representa el enunciado es incluido abajo como adjunto. Las siguientes relaciones trigonométricas describen la localización del globo. (The trigonometric diagram representing the statement is included below as attachment. The following trigonometric relations describes the location of the balloon):
A continuación, se obtiene la distancia horizontal: (The horizontal distance is obtained hereafter):
La altura aproximada del globo es (The approximated height of the globe is):
