Let the measure of BCD = aº Because BCD and BAD form a circle, and a circle measures 360°, the measure of BAD is 360 -
a”. Because of the theorem, mzA= degrees and m C = 360 -2 degrees. The sum of the measures of
angles A and Cis+350 – a degrees, which is equal to 360°, or 180°. Therefore, angles A and C are supplementary
because their measures add up to 180° Angles B and D are supplementary because the sum of the measures of the
angles in a quadrilateral is 360° MZA+ m2C + m2B + m2D = 360° and using substitution, 180° + m2B + m2D = 360°
so mZB + m2D = 180°
What is the missing information in the paragraph proof?
inscribed angle
polygon interior angle sum
quadrilateral angle sum
angle bisector

Acertain population of bacteria demonstrates exponential growth doubles in size every 4 days. how long will it take the population to triple in size?

Tom had a total of $220 and he spent $35 on a basketball ticket . what percent of his money did he have left?

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.