Rachel is trying to find the length of the lake shown on the diagram. She knows that if the two triangles are similar she can use a proportion to solve for the length. How can Rachel justify that the triangles are similar? What is the length of the lake?

A) Corresponding sides of the two triangles have the ratio of 41, which
proves SAS similarity. The length of the lake is 212 m.

C) Corresponding sides of the two triangles have the ratio of 41, which
proves SSS similarity. The length of the lake is 132 m

B) Corresponding sides of the two triangles have the ratio of 3:1, which
proves SSS similarity. The length of the lake is 159 m.

D) Corresponding sides of the two triangles have the ratio of 4:1, which
proves AAS similarity. The length of the lake is 240 m.

The survey of study habits and attitudes (ssha) is a psychological test that measures the motivation, attitude toward school, and study habits of students, scores range from 0 to 200. the mean score for u.s. college students is about 115, and the standard deviation is about 30. a teacher who suspects that older students have better attitudes toward school gives the ssha to 55 students who are at least 30 years of age. the mean score is 113.2. assume the population standard deviation is 30 for older students what is the margin of error for a 95% confidence interval for the population mean score for a. older students? b. compute the 95% confidence interval for the population mean score for older students. c. compute the 99% confidence interval for the population mean score for older students. d. compute the 88% confidence interval for the population mean score for older students.