Question

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

Answer 1

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
$ED = \frac{7(2)}{4} = \frac{14}{4} = 3.5$

Answer 2

The answer is 3.5 i hope this helped i did this on plato and it was correct