Rosa collects data on what students at her school like to eat at the movie theater. She asks a random sample of 120 students two questions: • Do you like to eat popcorn at the movie theater?
• Do you like to eat candy at the movie theater?
Her data are partially shown in the table. Of the students she asks, 60% of those who like to eat popcorn also like to eat candy.
Complete the table to show the number of students in each category
Like Popcorn
Don't Like Total
Popcorn
Like Candy
Don't Like Candy
62
Total
70
120
3.
How many students like candy and like popcorn
16
42
28
50

What two criteria are needed for triangles to be similar

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.

(05.08a)triangle abc is transformed to similar triangle a′b′c′ below: a coordinate plane is shown. triangle abc has vertices a at 2 comma 6, b at 2 comma 4, and c at 4 comma 4. triangle a prime b prime c prime has vertices a prime at 1 comma 3, b prime at 1 comma 2, and c prime at 2 comma 2. what is the scale factor of dilation? 1 over 2 1 over 3 1 over 4 1 over 5