The property used to arrive at line 2 is the additive property of equalities
The additive property of equalities states that for real numbers if x = y : then x + z = y + z
For example if 2 = 2 , then 2 + 1 = 3
In order to arrive at line 2, x and 2x were added together to arrive at 3x
The distributive property was used to arrive at line. The property states that : x(1 + 2) = x + 2x
Subtractive property of equalities was used to arrive at line 3
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Answer:
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all shapes with 4 angles are 360 degrees
100+96= 196
360-196= 164
c+d=164
80+84=164
D is 84
C is 80
The function "choose k from n", nCk, is defined as
nCk = n!/(k!*(n-k)!) . . . . . where "!" indicates the factorial
a) No position sensitivity.
The number of possibilities is the number of ways you can choose 5 players from a roster of 12.
12C5 = 12*11*10*9*8/(5*4*3*2*1) = 792
You can put 792 different teams on the floor.
b) 1 of 2 centers, 2 of 5 guards, 2 of 5 forwards.
The number of possibilities is the product of the number of ways, for each position, you can choose the required number of players from those capable of playing the position.
(2C1)*(5C2)*(5C2) = 2*10*10 = 200
You can put 200 different teams on the floor.
