Simon and his sister are playing a guessing game. Simon tells his sister that he is thinking of two positive numbers. The first number minus the second number is 300. The square of the first number minus 20 times the second number is equal to 15.
Formulate a system of one linear and one quadratic equation to represent the two numbers, given that x and y are variables for the two numbers.

Find the cosine function that is represented in the graph.

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

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem