1. in the image below, (ad) ̅ is an angle bisector, (ab) ̅=42, (ac) ̅=35, and (bc) ̅=44. find the measure of m. show all your work. don’t forget to label your answer.

2. the area of a right triangle is 30 ft2. the base of the triangle is 12 ft. what is the length of the hypotenuse? show your work. don’t forget to label your answer.

The graph of g(x) is a translation of y = which equation represents g(x)?

Raj encoded a secret phrase using matrix multiplication. using a = 1, b = 2, c = 3, and so on, he multiplied the clear text code for each letter by the matrix to get a matrix that represents the encoded text. the matrix representing the encoded text is . what is the secret phrase? determine the location of spaces after you decode the text. yummy is the corn the tomato is red the corn is yummy red is the tomato

An office supply company conducted a survey before marketing a new paper shredder designed for home use. in the survey, 80 % of the people who tried the shredder were satisfied with it. because of this high satisfaction rate, the company decided to market the new shredder. assume that 80 % of all people are satisfied with this shredder. during a certain month, 100 customers bought this shredder. find the probability that of these 100 customers, the number who are satisfied is 69 or fewer.