Answer:
EF ≈ 23.3
Explanation:
given 2 secants drawn from an external point to the circle.
then the product of the measures of one secant's external part and that entire secant is equal to the product of the measures of the other secant's external part and that entire secant , that is
GF × GE = GH × GI
8 × GE = 10 × (10 + 15) = 10 × 25 = 250 ( divide both sides by 8 )
GE = 31.25
then
EF = GE - GF = 31.25 - 8 = 23.25 ≈ 23.3 ( to the nearest tenth )