Two triangles A E B and A D C are similar with a shared vertex A. E B \parallel D C.  A B = x - 2 and B C = 5. Find x.
Choices:
A:5
B:7.5
C:9.5
D:10
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Two triangles A E B and A D C are similar with a shared vertex A. E B \parallel D C.  A B = x - 2 and B C = 5. Find x.
Choices:
A:5
B:7.5
C:9.5
D:10
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Two triangles A E B and A D C are similar with a shared vertex A. E B \parallel D C.  A B = x - 2 and B C = 5. Find x.
Choices:
A:5
B:7.5
C:9.5
D:10