Given:
The two numbers are
To find:
The highest common factor (HCF) of A and B
Solution:
We have,
...(i)
All the factors of A are prime but the factors of B are not prime. So, it can be written as
...(ii)
From (i) and (ii), it is clear that 3 is the only common factor of A and B. So,
Therefore, the highest common factor (HCF) of A and B is 3.
A=43°
B=82°
c=28
1) A+B+C=180°
Replacing A=43° and B=82° in the equation above:
43°+82°+C=180°
125°+C=180°
Solving for C. Subtracting 125° both sides of the equation:
125°+C-125°=180°-125°
C=55° (option B or C)
2) Law of sines
a/sin A=b/sin B=c/sin C
Replacing A=43°, B=82°, C=55°, and c=28 in the equation above:
a/sin 43°=b/sin 82°=28/sin 55°
2.1) a/sin 43°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 43°:
sin 43°(a/sin 43°)=sin 43°(28/sin 55°)
a=28 sin 43° / sin 55°
Using the calculator: sin 43°=0.681998360, sin 55°=0.819152044
a=28(0.681998360)/0.819152044
a=23.31185549
Rounded to one decimal place
a=23.3
2.2) b/sin 82°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 82°:
sin 82°(b/sin 82°)=sin 82°(28/sin 55°)
b=28 sin 82° / sin 55°
Using the calculator: sin 82°=0.990268069, sin 55°=0.819152044
b=28(0.990268069)/0.819152044
b=33.84903466
Rounded to one decimal place
b=33.8
Answer: Option B) C=55°, b=33.8, a=23.3
<span>You are given the following statistics showing how many points each player scores on average and how many points the team scores in a game when the player is not playing.
Player A PPG: 25 Team Points
when the player is absent: 100
Player B PPG: 24 Team Points
when the player is absent: 80
Player C PPG: 20 Team Points
when the player is absent: 84
Player D PPG: 19 Team Points
when the player is absent: 87
Player E PPG: 13 Team Points
when the player is absent: 50
Player F PPG: 5 Team Points
when the player is absent: 99
Player G PPG: 5 Team Points
when the player is absent: 90
(1) The player that is most helpful to the team is Player A. When player A is playing,he can garner 25 points and when he is not around, the team loses 100 points.
(2) The player that is the most altruistic (helpful to others) is Player E. Even if he can just gain 13 points when playing, when he is not around, their lost is just 50 points.
(3) The order from increasing to the least is player A, B, D, C, E, G, F.</span>
Answer:
The diagonals bisect each other.
Step-by-step explanation:
Not all diagonals of a parallelogram are equal.
The only quadrilaterals with all four sides being congruent are rhombus and squares so parallelogram is wrong.
The diagonals of a parallelogram bisect each other.
The diagonals of a parallelogram are only perpendicular when it is a square.
It's the third one because as Kendall spent more time training or running, their distance increased
