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Line EG ≈ 22.4This question is based on line segment proportionality theorem. This theorem states that when two transverse lines intersect with three or more parallel lines, it means that we have to divide the transverse lines into proportional line segments.We are told that;Line FG is parallel to CDFC = 16.9GD = 13.5EF = 28.1Due to the fact that Line FG is parallel to CD and applying line segment proportionality theorem, we can say that;EF/FC = EG/GDPlugging in the relevant values, we have;28.1/16.9 = EG/13.5Making EG the subject, we have;EG = (28.1 × 13.5)/16.9EG ≈ 22.4Read more here; brainly.com/question/24095829

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