Would be x^2-5-6 so the 0s would be (x-6)(x+1) so 6 and -1
Always because the sum of x and y is 180 degrees. If x and y are right angles, then x and y are supplementary angles. Never because the sum of x and y has to be 90 degrees. If x and y are complementary angles, then y is a right angle.
Answer:
x = 16
Step-by-step explanation:
Angle 2 is equal to 39, which means that Angle 1 has to be 51, since Angles 1 and 2 together is a right angle
3x+3=51
Subtract 3, making it 48
Now do 48 divided by 3, and you get 16
Answer:
Step-by-step explanation:
a) We have 15! as the product of 1 to 15 natural numbers. Since 17 is prime there will be no factor common to these
By actual division we find
15! (mod 17) =16
From this we deduce
even 16! mod 17 = 16 = -1
According to Wilson theorem
(17-1)! = -1 mod 17
Thus verified 17 is prime
Hence 15! (mod 17) =-1=16
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b) 2(26!) is divided by 29
Since 29 is prime
(29-1)! = -1 mod 29
28! = -1 mod 29 = 28
When divided this gives 25 as remainder
Answer:
Step-by-step explanation:
1 table and 2 chairs (2-seat table)
1 table and 4 chairs (4-seat table)
120 people so we need 120 chairs
Some Possibilities :
120 /4 = 30
0( 2-seat table) and 30 (4- seat tables) because 0·2 + 30·4 = 0+120 = 120
2( 2-seat table) and 29 (4- seat tables) because 2·2 + 29·4 = 4+ 116= 120
4( 2-seat table) and 28 (4- seat tables) because 4·2 + 28·4 = 8+ 112= 120
...
120/2 = 60
60( 2-seat table) and 0 (4- seat tables) because 60·2 + 0·4 = 120 + 0 = 120
58( 2-seat table) and 1 (4- seat tables) because 58·2 + 1·4 = 116 + 4 = 120
56( 2-seat table) and 2 (4- seat tables) because 56·2 + 2·4 = 112 + 8 = 120
...