Carlos is arranging books on shelves. He has 24 novels and 16 autobiographies. Each shelf will have the same numbers of novels and autobiographies. If Carlos must place all of the books on shelves, what are the possible numbers of shelves Carlos will use? 1, 2, 4 or 8 shelves

1, 2,4 or 6 shelves

1, 2, or 4 shelves

2, 4, 6, or 8 shelves

Danny draws a transversal, t, on two parallel lines ab and cd, as shown below: he makes the following table to prove that the alternate interior angles are equal: which is the missing justification? (6 points) corresponding angles formed by a transversal on parallel lines are supplementary. corresponding angles formed by a transversal on parallel lines are congruent. co-interior angles formed by a transversal on parallel lines are congruent. co-exterior angles formed by a transversal on parallel lines are congruent.

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The sum of the first eight terms of an arithmetic progression is 9m + 14. the fifth term of the06 progression is 2m - 6, where m is a constant.given that the first term of the progression is 26,find the value of the common difference, d and thevalue of m.