Solve for x.
A) 4
B) 5
C) 6
D) 7

Answer: B) 5
Step-by-step explanation:
Due to the similarity of triangles ACE and BCD we have the proportion:
[tex]\displaystyle\\\frac{5x}{20} =\frac{45}{36}[/tex]
The left side of the equation is reduced by 5, the right side of the equation is reduced by 9:
[tex]\displaystyle\\\frac{x}{4} =\frac{5}{4} \\\\Hence, \ x=5[/tex]