Answer:
x = 4
Explanation:
Given that ∆ABC ~ ∆AGF, it follows that their lengths would be proportional to each other. This implies that:
AB/AG = AC/A F
Substitute
55/22 = 30/(4x - 4)
5/2 = 30/(4x - 4)
Cross multiply
5(4x - 4) = 30(2)
20x - 20 = 60
20x - 20 + 20 = 60 + 20
20x = 80
Divide both sides by 20
20x/20 = 80/20
x = 4