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 62 degrees, angle qpr is equal to x, angle prd is equal to 115 degrees.

For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.

Acircle has a circumference of 28.36 units what is the diameter of the circle

Is the underlined participial phrase correctly placed or misplaced? i smelled each and every flower strolling through the garden. a. correctly placed participial phrase b. misplaced participial phrase