In the figure shown, line ab is parallel to line cd. part a: what is the measure of angle x? show your work. (5 points) part b: explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points) ab and cd are parallel lines, and pq and pr are transversals which intersect ab at p and cd at q and r. angle apq is labeled as 65 degrees, angle qpr is equal to x, angle prd is equal to 120 degrees.

An electronics manufacturer wants to know if customers would be interested in a detachable keyboard for their tables and if so, what the most important features would be. the manufacturer partners with an electronics store to include copies of the survey with every purchase at that store for one week. which of the following best explains why this random sample is unlikely to be a good representative sample of tablet owners' preferences for a detachable keyboard? a) one week is likely not enough time to get a large enough sample. b) most people won't bother to send in the survey, which is likely to skew the results c) there is no way to verify whether the responders to the survey actually own a tablet d) the survey is biased because it was conducted through an electronics store, not the general population

Find the sum of the measure of the interior angles of a polygon of 9 sides ; of 32 sides

What is the expression in factored form? 225x^2 - 144 a. 9(5x+4)^2 b. 9(5x-4)^2 c. 9(4x+5)(4x-5) d. 9(5x+4)(5x-4)