In lecture, we proved that any tree with n vertices must have n − 1 edges. Here, you will prove the converse of this statement. From now on, you can use this converse in the same way as you use statements from lecture. Prove that if G = (V, E) is a connected graph such that |E| = |V | − 1, then G is a tree.

Which expression is equivalent to 2^4y^3

Agroup of randomly selected apple valley high school students were asked to pick their favorite gym class. the table below shows the results of the survey. there are 528 students at apple valley high school. gym class number of students racquet sports 1 team sports 9 track and field 17 bowling 13 based on the data, what is the most reasonable estimate for the number of students at apple valley high school whose favorite gym class is bowling? choose 1 answer a. 9 b. 13 c. 119 d. 172

Solve the following inequalities and show the solution on a number line. 2x+3< 3(4x+5)