Pandora2016
Pandora2016 Pandora2016
  • 04-09-2016
  • Mathematics
contestada

Consider circle O. If AE = 7, EC = 2, and BE = 4, what is ED?

Consider circle O If AE 7 EC 2 and BE 4 what is ED class=

Respuesta :

Hagrid
Hagrid Hagrid
  • 12-09-2016
The correct answer is 3.5

Two chords AC and BD are intersecting inside the circle. The Intersecting Chord Theorem states that when two chords intersect inside a circle, the products of their segments are equal.

Thus, for the given circle:
(AE) × (EC) = (BE) × (ED)

The lengths of the segments are
AE = 7
EC = 2
BE = 4
ED = ?

To solve for ED, we simply substitute the known values into the equation
[tex]ED = \frac{7(2)}{4} = \frac{14}{4} = 3.5[/tex]
Answer Link
7yc9davjpy
7yc9davjpy 7yc9davjpy
  • 01-01-2021

Answer:3.5

Step-by-step explanation:

Answer Link

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