Parallel lines PQ and RS are cut by transversal line TU. If the alternate interior angles ZPVW and ZVW S are equal, which are required to prove corresponding angles mZPVT = MZRWV?

Find the roots of the polynomial function f(x) = x^3 + 2x^2 + x

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

Which expression is equivalent to -12(3x-3/4)