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Given: 1/2(10m−14)+9=12

Prove: m = 2

Drag and drop the reasons into the boxes to correctly complete the proof.

Help Asap Please mark as Brainliest Given 1210m14912 Prove m 2 Drag and drop the reasons into the boxes to correctly complete the proof class=

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1. [tex]\frac{1}{2}[/tex](10m - 14) + 9 = 12        1. Given

2.    5m - 7 + 9 = 12          2. Distributive Property

3.    5m      + 2 = 12          3. Simplify (added like terms)

4.    5m            = 10          4. Subtraction Property of Equality

5.      m            =  2           5. Division Property of Equality

Answer:

Statement                                                Reason

[tex]\frac{1}{2}(10m-14)+9=12[/tex]                       Given

[tex]5m-7+9=12[/tex]                                Distributive property

[tex]5m+2=12[/tex]                                   Combine like terms

[tex]5m=10[/tex]                                       Subtraction property of equality

[tex]m=2[/tex]                                           Division property of equality

Step-by-step explanation:

The given equation is

[tex]\frac{1}{2}(10m-14)+9=12[/tex]

We need to prove m=2.

[tex]\frac{1}{2}(10m)+\frac{1}{2}(-14)+9=12[/tex]                          (Distributive property)

[tex]5m-7+9=12[/tex]

[tex]5m+2=12[/tex]                               ( Combine like terms)

Subtract 2 from both sides.

[tex]5m=12-2[/tex]                     (Subtraction property of equality)

[tex]5m=10[/tex]

Divide both sides by 5.

[tex]\frac{5m}{5}=\frac{10}{5}[/tex]

[tex]m=2[/tex]                       (Division property of equality)

Hence proved.

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