Line segment XY begins at (1,8) and ends at (1,−2) . The segment is translated right 2 units and up 6 units to form line segment X′Y′ . What is the length, in units, of line segment X′Y′?

Which of these numbers of simulations of an event would be most likely to produce results that are closest to those predicted by probability theory? 15, 20, 5, 10

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.

Calculate the missing value. round the answer to on decimal place. start with 70, increase it by 21%, and end up with