my car doesn't have the car seat tethers will my child be safe with the seat belt restraint?

yes make sure seat belt is locked though

locked as in buckled? @blessedmommy

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for mine i have to pull the whole seat belt out from the top . you should hear the difference when its locked.... if that makes any sense. but if you have any car seat questions on fb there is a page called carseats for the littles and they help