First off, Why are you sitting 5/10 with only $500?
You have to raise the flop to see where you are at. I would raise his $35 feeler bet to $90-100. I don't really agree with your range of hands, his bet is so small that 77 is not out of the range of possibilities. especially as the hand progresses, check calls the turn, when a scare card to you hits he bets out so he won't miss a bet if you check. If he flat calls your raise you can check the turn and he'll probably make a smallish bet on the river if he has you beat since you will look weak.
Why are you betting so little on the turn? there is $140 in the pot and you bet $80? with what is now a coordinated board. You have $355 left so he's getting over 7 to 1 on a call with any draw or say a 7 with a gutshot straight draw. A bet of 125-150 would be better here.
you have him on 88, 99, TT, JJ or A7s. you can only beat 99 and JJ at the end. also of he'll play A7s he would play A3s or even 34s and as I said 77 is a possibility.
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Thank you John McCain for picking a woman who represents the worst-case scenario: A cute wild buffoon who is proud to be dumb.
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