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07-05-2020
Mathematics

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In the circle shown, chords AC and BD intersect at E. If AE = 6, EC =

12, and DE = 18. How long is

BE

Respuesta :

12-05-2020

Answer:

BE is 4 units long

Step-by-step explanation:

Data

AE = 6

EC = 12

DE = 18

Given that chords AC and BD intersect at E, then the following equation must be satisfied:

AE * CE = DE * BE

Replacing with data and isolating BE:

6*12 = 18*BE

BE = 6*12/18

BE = 4

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