1.)The ratio of one lengths of corresponding sides of two similar hexagons is 4:7. Find the ratios of their PERIMETERS. 2.) The ratio of the lengths of corresponding sides
of two similar hexagons is 4:7. Find the ratios of their AREAS.

3.) Triangles ABC and RST are similar. Find ST. (Goes along with the picture)

***When answering please state which question the answer belongs to, thanks!***

(If you could show the steps that would be awesome)

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.

Which of the following quartic functions has x = –1 and x = –2 as its only two real zeroes?

Two angles are complementary. the larger angle is 36 more than the smaller angle. what is the measure of the larger angle?