Find the measure of the missing angle of a triangle, if two of its angles are 75 degree and 65 degree respectively. show work

Use sigma notation to represent the following series for 9 terms.

Find the maximum value of p= 4x + 5y subject to the following constraints :

Without multiplying, tell which product is larger and why. 5 × 1/3 or 5 × 2/3 a)5 × 1/3 because 1/3 is less than 2/3 b) 5 × 1/3 because 1/3 is greater than 2/3 c) 5 × 2/3 because 1/3 is less than 23 d) 5 × 23 because 1/3 is greater than 2/3