229k views
23 votes
PLEASE HELP!!!!!!!!!

PLEASE HELP!!!!!!!!!-example-1
User KevinAlbs
by
6.0k points

1 Answer

11 votes

Answer:

CE = 4.6 ft

Explanation:

(a)

given 2 secants drawn from an external point to the circle , then

the product of the external part of one secant and the entire secant is equal to the product of the other secant's external part and that entire secant, that is

BE × BC = AB × DB

(b)

substituting given values into the equation

BE × 10 = 3 × 18

10 BE = 54 ( divide both sides by 10 )

BE = 5.4 ft

then

CE = CB - BE = 10 - 5.4 = 4.6 ft

User Phanto
by
6.1k points