In exercises 20 to 22, complete the missing statements/ reasons for each proof.
Given: |
|
Prove: |
|
PROOF | |
Statements | Reasons |
1. _______________ | 1. Given |
2. _______________ | 2. Addition Property of Equality |
3. _______________ | 3. Division Property of Equality |
To find:
The missing statements/reasons for the each proof.
Given:
The given table is shown below.
PROOF | |
Statements | Reasons |
1. | 1. Given |
2. | 2. Addition Property of Equality |
3. | 3. Division Property of Equality |
Properties:
a. The Additive Property of Equality states that if same number is added to both sides of the equation then the sides of the equation remains equal.
b. The Division Property of Equality states that if you divide both sides of an equation by the same nonzero number, the sides remain equal.
Calculation:
The first statement of the proof is given. That is.
The second statement is of the proof of Addition Property of Equality. So, use Addition Property of Equality in the given equation.
The third statement is based on Division Property of Equality. Use Addition Property of Equality in the equation
Divide both sides by
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