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 answer:
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
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