I live in the country and in a county that has NO animal control officer. The first time you see a day old calf torn apart...the dogs aren't hungry, they like to play tug-o-war with living things. The dogs we have the most trouble with are "pets" that are allowed to roam. One from this house and one from that house. Once dogs pack up, pets or not, they can and often will, become predators. Last fall deer hunters on my closest neighbor's property heard dog's and a calf screaming. 3 dogs, all belonging to different people, were attacking it viciously. 2 of those dogs met the SSS criteria instantly and one got the same treatment a few days later, caught attacking a newborn calf. I have more stories if you want to read them.
My dogs have always been safely enclosed in a large area, bigger than most backyards, behind a chain link fence. The fur baby we have now is trained to stay within certain boundaries and is never loose by himself. At night, he is only allowed to go into the fenced back yard. He's small, only 11 pounds, so he could easily be coyote or bobcat prey. Rascal was also acclimated to our chickens...first in the house in the brooder, then outside with the chicks in their run and Rascal out. They are all friends now and he doesn't chase.
The last 2 strays that showed up caused me to keep my chicks in their coop/pen for several days. We, DH and I finally bribed them into our fenced area. One was a huge over friendly black monster, the other was a little chi mix female in heat. We drove a 40 mile round trip to get them to a no-kill rescue and then donated $$ to help.
However, those 2 were friendly and very recently dumped. I have a pellet gun, a .22 rifle and a big rifle next to the front door. Pellets work sometimes, but not often enough. You do what you have to do to protect your animals, your property, your family and yourself!