Let a be a rational number and b be an irrational number. which of the following are true statements? a. the sum of a and b is never rational b. the product of a and b is rational c. b^2 is sometimes rational d. a^2 is always rational e. √a is never rational f. √b is never rational

Using d, e, and f as values on a triangle and d being 60 degrees, what is the value of e and f if d is 60 degrees? also, what do you notice about the values of e and f?

In triangles abc and wxy, a=w and b=x which of the following must be true to prove abc=wxy by the aas theorem? a. ab=bc b. bc=xy c. ab=wx d.

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