Answer:x =8.3
Step-by-step explanation:
Triangle ABG is similar to triangle DBE. This means that the ratio of the length of each side of ∆ABG to the length of the corresponding side of ∆DBE is constant. Therefore,
AB/DB = BG/BE = AG/DE
AB = 11
BG = 10 + x
Therefore,
11/6 = (x + 10)/10
Cross multiplying, it becomes
6(x + 10) = 11 × 10
6x + 60 = 110
Subtracting 60 from left hand side and the right hand side of the equation, it becomes
6x + 60 - 60 = 110 - 60
6x = 50
Dividing the left hand side and the right hand side of the equation by 6, it becomes
6x/6 = 50/6
x = 8.3 rounded up to the nearest tenth
