Answer
See work below.
Work Step by Step
a) The law of conservation of mass states that matter cannot be destroyed nor created; Dalton's atomic theory states that atoms are only rearranged in reactions. Therefore, Dalton's idea of the rearrangement of atoms allows for the atoms in the reaction to react without violating the law of conservation of mass, or altering the total mass of the system.
b) Dalton's idea that a given compound always has the same relative numbers and types of atoms accounts for the law of definite proportion, where a given compound always contains exactly the same proportions of elements by mass. This means that the numbers and types of atoms in a compound will always stay the same, for example: Every CO2 molecule will always contain 2 atoms of O and one atoms of C.
c) The law of multiple proportions also accounts for Dalton's atomic theory; Dalton states that a given compound always contains exactly the same proportions of elements by mass, and the law of multiple proportions states that the ratios of the masses in a given compound can always be reduced to whole proportions.