Respuesta :

fieryanswererft

Answer : y = 5

Given:

  • EA = 2
  • EC = 3
  • EB = EA + AB = 2 + 10 = 12
  • ED = EC + CD = 3 + y

Formula:

AB × AD = AC × AE

Here if applied:

EA × EB = EC × ED

2 × 12 = 3 × (3 + y)

24 = 9 + 3y

3y = 15

y = 5

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semsee45

Answer:

y = 5

Step-by-step explanation:

Secant: a straight line that intersects a circle at two points.

Segment: part of a line that connects two points.

The given diagram shows two secant segments EB and ED drawn to the circle from one exterior point E.  Therefore, using the Intersecting Secants Theorem,  the product of the measures of one secant segment and its external part is equal to the product of the measures of the other secant segment and its external part.

⇒ EB · EA = ED · EC

⇒ (2 + 10) · 2 = (3 + y) · 3

⇒ (12)2 = 3(3 + y)

⇒ 24 = 9 + 3y

⇒ 15 = 3y

⇒ y = 5        

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