Algebra moira buys a new rectangular rug that is 3 inches shorter than her old rectangular rug. the area of the new rug is (x2 + 2x - 15)in2. describe the width of moira’s new rug in terms of the length of her old rug. moira’s new rug is (blank) inches (blank) than the length of her old rug. choices 7, 5, 0, 15 | narrower, wider

Multiply. −2x(6x4−7x2+x−5) express the answer in standard form. enter your answer in the box.

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

Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x+1|+1? shift 1 unit left and 1 unit down shift 1 unit left and 1 unit up shift 1 unit night and 1 unit down shift 1 unit nght and 1 unit up