Recall that a trail is a walk that does not contain a repeated edge, a closed trail is a trail whose initial and terminal vertices are the same, a non-trivial walk contains at least one edge, and a cycle is a closed trail where the only repeated vertex is the terminal vertex repeating the initial vertex. prove that every non-trivial closed trail contains a cycle.

Ajar of gumballs contains 4 reds, 2 greens, and 6 blues. what is the probability of getting two blues in a row without replacement?

Jordan has $5.37, which he is using to buy ingredients to make salsa. he is buying one red pepper for $1.29 and three pounds of tomatoes. if jordan has exactly the right amount of money he needs, what is the price per pound of the tomatoes? choose the correct equation to represent this real-world problem. solve the equation and verify the reasonableness of your answer. a pound of tomatoes costs .

Lola says these two expressions have the same value. expression a expression b which explains whether lola is correct?