Question

ANSWER PLS! Dont just respond for the points pls

Answer 1

The answer to the question in the photo is 21

Answer 2

18

Explanation:

Intersecting Secant-Tangent Theorem

The square of the tangent is equal to the product of the external secant segment and the secant.

Given:

• tangent = AE = 12
• external secant segment = EC = 8
• secant = ED = 18 + x

AE² = EC · ED

⇒ 12² = 8(18 + x)

⇒ 144 = 144 + 8x

⇒ 0 = 8x

⇒ x = 0

ED = 18 + x

= 18 + 0

= 18