Santa has lots of mixed up socks in his sack! if he has 6 green socks, 4 gold socks, 8 black socks and 2 red socks, what is the minimum he needs to pull out of his sack to get a matching pair?

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.

Which of the following represents the length of a diagonal of this trapezoid?

Determine the standard form of the equation of the line that passes through (-2,0) and (8,-5)