Question

I have a couple more questions left and i'll stop bothering y'all lol thank you for your help <3

Answer 1

`\huge\boxed{\sf FG = 20.3 }`

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

`\rule[225]{225}{2}`

Hope this helped!

~AH1807