Solve the problem.Within a group of n people, the number of possible handshakes, N, is given by N = (n2 - n). At a party, everybody shakes hands with every other person. If the total number of handshakes is 253, how many people are at the party?

A. 22
B. 23
C. 25
D. 24


Answer: B

Mathematics

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Solve for the specified variable.S(1 - r) = a, for r

A. r = S - a
B.  
C. r =  - 1
D. r = 

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Verify the identity.1 -  = -sin ?

What will be an ideal response?

Mathematics

Simplify the algebraic expression.-4(2x - 10) - 4x + 9

A. 4x + 49 B. 12x + 49 C. -12x + 49 D. -12x - 31

Mathematics

Solve the problem.Two points A and B are on opposite sides of a building. A surveyor selects a third point C to place a transit. Point C is 54 feet from point A and 65 feet from point B. The angle ACB is 56°. How far apart are points A and B?

A. 72 feet B. 56.7 feet C. 95.4 feet D. 105.2 feet

Mathematics