For δabc, ∠a = 3x - 8, ∠b = 5x - 6, and ∠c = 4x + 2. if δabc undergoes a dilation by a scale factor of 1/2 to create δa'b'c' with ∠a' = 2x + 8, ∠b' = 90 - x, and ∠c' = 5x - 14, which confirms that δabc∼δa'b'c by the aa criterion?

a) ∠a = ∠a' = 37° and ∠b = ∠b' = 69°
b) ∠a = ∠a' = 22° and ∠c = ∠c' = 42°
c) ∠b = ∠b' = 37° and ∠c = ∠c' = 33°
d) ∠b = ∠b' = 74° and ∠c = ∠c' = 66°

What would be the reasons for lines 3 and 4? a. addition property; subtraction property b. addition property; solve c. substitution property; subtraction property d. substitution property; prove

The correlation coefficient between the number of students and marks obtained in end semester exam. (13 marks) give the statistical meaning of the relationship between the number of students and marks b. obtained in end semester exam. (3 marks) draw the number of students and marks obtained in end semester exam scatter diagram c. (4 marks) check list write your name and id corectly write the question number properly use your own calculator. show all the steps to solve the problems. use the correct formula. answer in provided time. don't use your mobile for any purpose. write your answer up to two decimal places

Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. here are data on the "penetrability" of the same type of soil at two levels of compression. penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. compressed soil 2.85 2.66 3 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16 intermediate soil 3.17 3.37 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26 use the data, omitting the high outlier, to give a 95% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. compute degrees of freedom using the conservative method. interval: to