Answer: Fourth Choice. x = 5
Concept:
Here, we need to know the idea of the intersecting chord theorem.
When two chords intersect each other inside a circle, the products of their segments are equal.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
Given information
BE = 2
AE = 10
CE = 4
DE = x
Given expression deducted from the intersecting chord theorem
BE · AE = CE · DE
Substitute values into the expression
2 · 10 = 4 · x
Simplify by multiplication
20 = 4x
Divide 4 on both sides
20 / 4 = 4x / 4
[tex]\boxed{x=5}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
