Question 1 The opposite angles of a parallelogram are congruent. TRUE FALSE 2 points Question 2 In a rectangle, the opposite sides are congruent. TRUE FALSE 2 points Question 3 If a parallelogram is a rectangle then the diagonals are congruent. TRUE FALSE2 points Question 4 The following is a rhombus, therefore TRUE FALSE 2 points Question 5 If a quadrilateral is a kite, then its diagonals bisect each other. TRUE FALSE2 points Question 6 ABCD is a parallelogram. If AE is equal to and EC is equal to b - 15, find the measure of AE. Question 7 The diagonals of rhombus FGHJ intersect at point K. If side GK is equal to 3x - 5 and side JK is equal to 4x - 8, find x. Question 8 A rectangle ABCD has the following sides. Find x and y. Question 9 ABCD is a parallelogram. If angle B is equal to (2x)° and angle A is equal to (-x + 120)°, find x. Question 10 ABCD is a parallelogram. If AB is equal to 2x + 1 and CD is equal to x + 13, find x. Question 11 Triangle ABC and DEF are congruent. Find x. Question 12 Triangle ABC is congruent to triangle DFE. Find x. Question 13 Triangle RSV is congruent to triangle TVS. Find x and y. Question 14 Triangle ABC is congruent to triangle DFE. Find x. Question 15 Triangles QVS and RTS are similar. Find side VS. Question 16 Triangles WSR and TVR are similar. Find x. Question 17 Triangle ABE is similar to triangle ACD. Find y. Question 18 Triangles MOP and MNQ are similar. Find x. Question 19 Find x. Question 20 Find x. Question 21 Point C is the center of the circle. Angle ACB measures What is the measure of arc AB? Question 22 Point C is the center of the circle. What is the measure of angle ACB if arc ADB measures ? Question 23 Point C is the center of the circle. What is the measure of arc AB if ACB is equal to ? Question 24 Point C is the center of the circle. What is the measure of arc ADB if ACB is equal to ? Question 25 Angle C is an inscribed angle of circle P. Angle C measures and arc AB measures (-8x) . Find x. Question 26 Point C is the center of the circle. If angle ACB measures and AB measures (x + 13) , find x. Question 27 Circles M and K are congruent, is congruent to . Find the length of . Question 28 Circles M and K are congruent, is congruent to and is congruent to . Find x and y. Question 29 Circles M and K are congruent, is congruent to and is congruent to . Find x and y. Question 30 Circles M and K are congruent, is congruent to and is congruent to . Find x and y. Question 31 Find the if angle A is equal to and measures . Question 32 and are tangent to circle D. Find x if = and = 7. Find x. Question 33 and are tangent to circle D. Find x if = -x + 6 and = 3x + 1. Find x. Question 34 Find x. Question 35 Find angle A if is equal to and is equal to .

The research firm LL Research collected data from 200 client businesses. They want to determine how the businesses compare among four variables:2015 Profit in millions of dollars2016 Profit in millions of dollars2015-2016 Two-Year Change in Daily Average Customer Visits Two-Year Average Number of EmployeesData collected for the sample of 200 businesses is contained in the file named Businesses, linked at the bottom of the page. Use all 200 data points.Managerial ReportPrepare a report (see below) using the numerical methods of descriptive statistics presented in this module to learn how each of the variables contributes to the success of a client business. Be sure to include the following three items in your report.Find descriptive sample statistics (mean, median, two quartiles Q1 and Q3, minimum, maximum, range, sample standard deviation, and coefficient of variation) for each of the four variables along with an explanation of what the descriptive statistics tell us about the client businesses.Compute the percent change in profit from 2015 to 2016 for each business. Then use the z-score to determine which businesses were outliers with respect to percent change in profit.Compute the sample correlation coefficient, showing the relationship between percent change in profit and each of the other two variables (2015-2016 Two-Year Change in Daily Average Customer Visits and Two-Year Average Number of Employees). Explain what the correlation coefficients tell us about the three pairs of relationships. Use tables, charts, or graphs to support your conclusions. Write a report that adheres to the Written Assignment Requirements under the heading “Expectations for CSU-Global Written Assignments” found in the CSU-Global Guide to Writing and APA Requirements. As with all written assignments at CSU-Global, you should have in-text citations and a reference page. An example paper is provided in the MTH410 Guide to Writing with Statistics. (link provided at the bottom of the page)Submit your Excel file in addition to your report.Requirements:Paper must be written in third person.Your paper should be four to five pages in length (counting the title page and references page) and cite and integrate at least one credible outside source. The CSU-Global Library is a great place to find resources.Include a title page, introduction, body, conclusion, and a reference page.The introduction should describe or summarize the topic or problem. It might discuss the importance of the topic or how it affects you or society as a whole, or it might discuss or describe the unique terminology associated with the topic.The body of your paper should answer the questions posed in the problem. Explain how you approached and answered the question or solved the problem, and, for each question, show all steps involved. Be sure this is in paragraph format, not numbered answers like a homework assignment.The conclusion should summarize your thoughts about what you have determined from the data and your analysis, often with a broader personal or societal perspective in mind. Nothing new should be introduced in the conclusion that was not previously discussed in the body paragraphs.Include any tables of data or calculations, calculated values, and/or graphs associated with this problem in the body of your assignment.Document formatting, citations, and style should conform to the CSU-Global Virtual Library CSU-Global Guide to Writing and APA: Introduction. A short summary containing much that you need to know about paper formatting, citations, and references is contained in the New Sample APA Paper. In addition, information in the CSU-Global Virtual Library under the Writing Center/APA Resources tab has many helpful areas (Writing Center, Writing Tips, Template & Examples/Papers & Essays, and others).