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In the figure below OA = a, OB = b, OA: AE = 2: 3 and OB: OC = 1: 2

a).Express AC and BE in terms of a and b
i) AC
ii) BE
b). If DC = kAC and BD = mBE where k and m are scalars.
By expressing DC in two ways, determine the values of k and m.