Answer:
[tex]\huge\boxed{\sf FG = 20.3 }[/tex]
Step-by-step explanation:
If two secants are drawn from a point outside the circle, then the formula used for it will be:
(FG + GH) × GH = (JI + IH) × IH
Given that IH = 29, JI = 23 and GH = 30
(FG + 30) × 30 = (23 + 29) × 29
(FG + 30) × 30 = 52 × 29
(FG + 30) × 30 = 1508
Divide both sides by 30
FG + 30 = 1508 / 30
FG + 30 = 50.3
Subtract 30 to both sides
FG = 50.3 - 30
FG = 20.3
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
