Question

Solve for x.
X = 4
X=10
X=2
X=5

Answer 1

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

`\boxed{x=5}`

Hope this helps!! :)

Please let me know if you have any questions