Answered

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AX and EX are secant segments that intersect at point X.
What is the length of DE?


1 unit

3 units

4.5 units

4 2/3 units

Sagot :

enochtucker2

Answer:

DE=4

Step-by-step explanation:

got it right on edg

azikennamdi

The length of DE is given as: 3 Units. (Option B)
A line that joins two points on a curve is called a Secant Line.

What is the Secant Theorem?

Two secant theorem states that if two secant lines are drawn from a point outside a circle a relationship is formed between the line segments.

How do we arrive at the length of DE?

Based on the Secant Theorem, from the figure, we know that:

AX * BX = EX * DX

Assuming that the length of DE equals X,:

AX * BX = EX * DX

Equals

(7+2) X (2) = (x + 3) (3)

To solve for x we expand the brackets to state:

9 * 2= 3x + 9

3x = 18-9

3x= 9

x = 9/3

X which is same as DE = 3 Units.

See the attached text and image for the full questions and Learn more about Secant at:

https://brainly.com/question/9284286

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