The square of one number is 23 less than the square of a second number. If the second number is 1 more than the first, what are the two numbers? If x represents the smaller number, then which of the following quadratic equations represents the word problem? o (x + 23)2 = x2 + 2x + 1 x2 + 23 = x2 + 1 Ox2 + 23 = x2 + 2x + 1​

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