JacaidenL760101 JacaidenL760101

30-10-2022
Mathematics

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If P is between L and A, PL = 2x - 1, and LA = 5x - 3, then x = __ and LA = _.

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MackynzieA484470 MackynzieA484470

30-10-2022

x = 1

LA = 2

Explanation:

Since P is in between L and A, we would be assuming P divides line LA into two equal halves

PL = 2x - 1

LA = 5x - 3

From the diagram:

LA = PL + AP

PL = AP

LA = 2PL

5x - 3 = 2(2x - 1)

5x - 3 = 4x - 2

5x - 4x = -2 + 3

x = 1

LA = 5(1) - 3 = 5 - 3

LA = 2

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