What is the reason for step 3 of this proof? given: and bisect each other. prove: quadrilateral abcd is a parallelogram. proof: statement reason 1. and bisect each other. given 2. ae = ec be = ed definition of bisection 3. maeb = mced 4. abe cde sas criterion 5. acd cab corresponding angles of congruent triangles are congruent. 6. converse of alternate interior angles theorem 7. mbec = maed vertical angles theorem 8. bec dea sas criterion for congruence 9. dbc bda corresponding angles of congruent triangles are congruent. 10. converse of alternate interior angles theorem 11. quadrilateral abcd is a parallelogram. definition of a parallelogram a alternate interior angles theorem b. corresponding angles in congruent triangles are congruent. c. for parallel lines cut by a transversal, corresponding angles are congruent. d. vertical angles theorem e. sas criterion for congruence

Which unit of measure would be the most appropriate to measure the capacity of a bottle of nail polish? a.fluid ounces b.cups c.pints d.quarts e.gallons

The amount of data left on the cell phone six gb for 81.5 gb of data is used how much data is available at the beginning of the cycle

(20 points) a bank has been receiving complaints from real estate agents that their customers have been waiting too long for mortgage confirmations. the bank prides itself on its mortgage application process and decides to investigate the claims. the bank manager takes a random sample of 20 customers whose mortgage applications have been processed in the last 6 months and finds the following wait times (in days): 5, 7, 22, 4, 12, 9, 9, 14, 3, 6, 5, 15, 10, 17, 12, 10, 9, 4, 10, 13 assume that the random variable x measures the number of days a customer waits for mortgage processing at this bank, and assume that x is normally distributed. 2a. find the sample mean of this data (x ě…). 2b. find the sample variance of x. find the variance of x ě…. for (c), (d), and (e), use the appropriate t-distribution 2c. find the 90% confidence interval for the population mean (îľ). 2d. test the hypothesis that îľ is equal to 7 at the 95% confidence level. (should you do a one-tailed or two-tailed test here? ) 2e. what is the approximate p-value of this hypothesis?