Question in-the

4.1 Lines, Angles, and Triangles - Angle relationships (parallel lines)
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The figure presents quadrilateral A, C D F, where side A, F and side C D are horizontal, and side C D lies above side A, F. Side C D is longer than side A, F. Point B lies on left side A, C, and point E lies on right side D F. Line segment B E, which is horizontal, divides quadrilateral A, C D F into two quadrilaterals, A, B E F and B C D E.

In the figure above, side A, F , line segment B E , and side C D are parallel. Points B and E lie on side A, C  and side F D , respectively. If the length of line segment A, B equals 9, the length of line segment B C equals 18 point 5, and the length of line segment F E equals 8 point 5, what is the length of line segment E D , to the nearest tenth?

A.

16.8

B.

17.5

C.

18.4

D.

19.6