Quick answers
abdulla is writing a program for a video game. for one part of the game he uses the rule: (x, y)  (x + 5, - y) to move objects on the screen.
(a) what output does the rule give when the input is (5, 3)? show your work.
(b) what output does the rule give when the input is (-2, 7)? show your work.

If m∠abc = 70°, what is m∠abd? justify your reasoning.  using the addition property of equality, 40 + 70 = 110, so m∠abd = 110°.  using the subtraction property of equality, 70 − 30 = 40, so m∠abd = 30°.  using the angle addition postulate, 40 + m∠abd = 70. so, m∠abd = 30° using the subtraction property of equality.  using the angle addition postulate, 40 + 70 = m∠abd. so, m∠abd = 110° using the addition property of equality.