NachmanG524327 NachmanG524327

29-10-2022
Mathematics

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the lengths of two segments are in the ratio of 5:3, and the longer segment exceeds the shorter by 14 m. find the length of the longer segment.

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NewtR317358 NewtR317358

29-10-2022

ratio 5/3

Longer / shorter

L/s = 5/3

longer segment exceeds the shorter by 14m

L = s + 14

proportion:

5/3 = x+14 / x

Solve for x

Cross multiply

5x = (x+14) 3

5x = 3x +42

5x-3x = 42

2x = 42

x = 42/2

x=21

Longer segment :

L = x + 14 = 21 + 14 = 35m

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