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Mathematics, 21.06.2019 21:10
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. β 6 β
β 2 2. ? 3. mβ 6 = mβ 2 3. def. of congruent 4. β 6 is supp. to β 8 4. def. of linear pair 5. β 2 is supp. to β 8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem
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Mathematics, 22.06.2019 01:00
Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x β 3y = -9 tiles subtract 3x + 3y = -6 (obtained in step 1) from 2x β 3y = -9 (given) to solve for x. substitute the value of x in the first equation (x + y = -2) to get y = 1. the solution for the system of equations is (-3, 1). x = -15 the solution for the system of equations is (-15, 13). add 3x + 3y = -6 (obtained in step 1) to 2x β 3y = -9 (given), and solve for x. x = -3 substitute the value of x in the first equation (x + y = -2) to get y = 13. multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.
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