The vertices of ΔABC are (-2,0), (-2, 3), and (-5, 1). T(x, y) = (x + 1, 3y) represents the transformation of the triangle. What are the coordinates of the vertices for ΔA'B'C'? Are the pre-image and image congruent? Justify your answer.

A) (0,-1),(9,1),(3,-4); The triangles are congruent because all transformations result in congruent figures.
B) (1,0),(1,9),(-4, 3); The triangles are not congruent because ΔA'B'C' is a reflection of ΔABC.
C) (-1,3),(-1,3),(-4,3); The triangles are congruent because the same transformation was performed on each vertex.
D) (-1,0),(-1,9),(-4,3); The triangles are not congruent because 3y is a dilation which increases the size of ΔA'B'C'.

(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?