The sum of two numbers is 95. If the larger number is increased by twice the smaller number, the result is 120. What is the larger number?
If x= the smaller number and y = the larger number, then which of the following systems of equations represents the
word problem?
Ox+y = 95 and x + 2y = 120
x + y = 95 and 2x + y = 120
O x + y = 95 and 2(x + y) = 120

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