Answer: No, they are not similar.
Explanation:
AB = AX+XB = 7+28 = 35
The ratio of AB to AX is AB/AX = 35/7 = 8
AC = AY+YC = 9+30 = 39
The ratio of AC to AY is AC/AY = 39/9 = 4.3¯3
Therefore, no, these triangles are not similar.
I hope this helps anyone.