Which answers are examples of the law of syllogism? select each correct answer.

a. if there is a children’s movie playing at the cinema, maria’s mother will take her to see it. when maria’s mother takes her to the movie, she buys maria popcorn. therefore, if there is a children’s movie playing at the cinema, maria’s mother will buy popcorn for maria.

b. if a square is a rectangle and if a rectangle is a parallelogram, then a square is a parallelogram.

c. if a quadrilateral is a rectangle with 4 equal sides, then it is a square. quadrilateral abcd is a rectangle with 4 equal sides. therefore, quadriateral abcd is a square.

d. sally goes to the mall every saturday. today is saturday. therefore, sally will go to the mall today.

ou would have 12 of each

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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