Find the values of x and y

x = 54, y = 63

Step-by-step explanation:

117° and the left base angle are adjacent and sum to 180°

base + 117° = 180° ( subtract 117° from both sides )

base = 63°

Since the triangle is isosceles ( congruent legs ) then the 2 base angles are congruent , so y = 63

and x = 180 - (63 + 63) ← sum of angles in a triangle

x = 180 - 126 = 54

A. 79.4B. 84C. Science class

Step-by-step explanation:

Average test score in math class

f(x) = 0.2x + 79

Average test score in science class

As per table the rate of change is -2, therefore g(x) is

g(x) = -2x + 88, becauseg(1) = -2 + 88 = 86

Part A: Determine the test average for your math class after completing test 2.

f(2) = 0.2*2 + 79 = 0.4 + 79 = 79.4

Part B: Determine the test average for your science class after completing test 2

g(2) = 84 given in the table

Part C: Which class had a higher average after completing test 4?  

f(4) = 0.2*4 + 79 = 0.8+ 79 = 79.8g(4) = -2*4 + 88 = - 8 + 88 = 80

Science class had higher class