Question

Need help with this problem

Answer 1

Line EG ≈ 22.4

• This 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 CD

FC = 16.9

GD = 13.5

EF = 28.1

• Due to the fact that Line FG is parallel to CD and applying line segment proportionality theorem, we can say that;

EF/FC = EG/GD

Plugging in the relevant values, we have;

28.1/16.9 = EG/13.5

Making EG the subject, we have;

EG = (28.1 × 13.5)/16.9

EG ≈ 22.4

Read more here; brainly.com/question/24095829