Rock, paper, scissors is an example of a game that uses : a. transitive b. intransitive c. orthogonal relationships d. dominate strategy

A is the answer as transitive means:

(of a relation) such that, if it applies between successive members of a sequence, it must also apply between any two members taken in order. For instance, if A is larger than B, and B is larger than C, then A is larger than C.

B. intransitive

Explanation:

An intransitive game is traditionally described as an activity that produces one or more loops of preference. In other words, if  the strategy A is preferred over strategy B, and strategy B is preferred over strategy C, strategy A is not necessarily preferred over strategy C.

coordinates of r(b,c)

slope of nm is 0.

step-by-step explanation:

the midpoint of the line joining the points (x₁,y₁) and (x₂,y₂) is given by

the midpoint of the line segment nk is given by

∴r(b,c)

the slope of the line joining the points (x₁,y₁) and (x₂,y₂) is given by

slope of rs is

hence

coordinates of r(b,c)

and slope of nm is 0.

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