Fill in the missing reasons for the following two-column proof for the following information. given: m is the midpoint of cd; cm = 3x – 10; md = 6x – 22 prove: x = 4 statement reason m is the midpoint of cd; cm = 3x – 10 ; md = 6x - 22 1. ? cm = md 2. ? 3x – 10 = 6x – 22 substitution -3x – 10 = -22 subtraction property of equality -3x = -12 3. ? x = 4 division property of equality

1.  M is the midpoint of CD; CM = 3x - 10; MD = 6x - 22;        GIVEN
2.  CM = MD                                                                       Definition of Midpoint 
3.  3x - 10 = 6x - 22                                                            Substitution Property
4.  -3x - 10 = - 22                                                      Subtraction Prop of Equality 
5.  -3x =-12                                                               Addition Prop of Equality
6.  x = 4                                                                    Division Prop of Equality

< i think this is the answer unless i did my math wrong