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Given: m∠2 = m∠3

Prove: <1 and  <3 are supplementary.

 

 

 

Statements

Reasons

 

  1.  m∠2 = m∠3

 

 

           Given

 

       2. <1 and <2 form a linear pair

 

 

 

 

       3.

 

        Linear Pair Postulate

 

 

        4. M<1+M<3=180

 

 

       

 

         5.

 

 

 

 

 

 

 

Justify each step in solving the equation 5(y+3)-11=-y-6  by writing a reason for each statement

 

Statements

Reasons

 

  1.  5(y+3)-11=-y-6

 

 

          Given

 

       2. 5(y+3)=-y+5

 

 

 

 

       3. 5y+15=-y+5

 

 

 

      4. 5y=-y-10

 

 

 

      5. 6y=-10

 

 

 

 

 

      6. y=-5/3

 

 

          Division Property of Equality/Reduce

 Oct 6, 2019
 #1
avatar+2863 
+1

Picture for number one?

 

2)

 

Just solve the equation normally, but show EACH STEP of your work.

 

Now take each step of your work and justify each step.

 

You should use different properties (such as additive property of equality for example) that you learned in class..

 Oct 7, 2019
 #2
avatar+220 
+1

For

1) the reason is given, as shown above

2) the reason is the additive property of equality. You are adding 11 to both equations

3) the reason is the distributive property. You are expanding the parentheses and multiplying both values by 5

4) the reason is the subtraction property of equality. Similar to the additive property, but instead of adding, you are subtracting by 15

5) the reason is the additive property of equality, you are adding both sides of the equation by y

6) and the final reason is the division property of equality, as shown above

 Oct 8, 2019

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