will a non-cardio exercize class help me lose weight?

I'm not a professional, but as far as I know, yes because your heart rate is increased. Walking for 45 minutes, as you do, will also do the trick. Keep up the good work!

The general rule of thumb is that you have to burn more calories than you eat in order to lose weight. It's not particulary about getting cardio. You can look up what the average calorie burn is of the particular activity you're doing, and log your caloric intake and see how it matches up. Did you know that just doing cardio won't help you lose all the weight you're looking to lose? Strength training is essential. More muscle means more fat burning. In general, being moderately active everyday is better than hardcore running twice a week. So it looks like you're on the right track!