(Picture) INFINITE SEQUENCES AND SERIES PLEASE HELP!!

Answer:
C) [tex]x=\frac{17}{33}[/tex]
Step-by-step explanation:
0.51 repeating decimal
x= 0.51515151
multiply by 100 on both sides
100x = 51.515151.........
x= 0.515151...............
--------------------------------------------(subtract)
99x = 51
divide by 99 on both sides
[tex]x=\frac{51}{99}[/tex]
divide both sides by 3
[tex]x=\frac{17}{33}[/tex]