Answered

Complete the following proof.

Given: 200 = 4m + 18 – 2m

Prove: m = 91


Statements

  1. 200 = 4m + 18 – 2m
  2. 200 = 2m + 18
  3. 182 = 2m
  4. 91 = m
  5. m = 91

give the reason for each statement

  1. Given
  2. ?
  3. ?
  4. ?
  5. ?

Verified Answer :

bcalle
  1. Combine like terms
    3.subtraction property of equality
    4.division property of equality
    5. Reflexive property
JeanaShupp

Answer: Reasons for each statement are 2. Combining like terms

3.Subtracted 18 from both the sides

4.Divided by 2 on the both sides

5. Reflexive property


Step-by-step explanation:

Given: 200 = 4m + 18 – 2m

Statements  

1. 200 = 4m + 18 – 2m  [given]

2. 200 = 2m + 18  [combining like terms]

3. 182 = 2m
[Subtracted 18 from both the sides]

4. 91 = m  [Divided by 2 on the both sides]

5. m = 91  [by using reflexive property]