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The hanger image below represents a balanced equation. Write an equation to represent the image

The hanger image below represents a balanced equation Write an equation to represent the image class=

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Answer:

The equation is [tex]7=2+r[/tex]

Step-by-step explanation:

we know that

The equation that represent the image is equal to

[tex](1+1+1+1+1+1+1)=(1+1)+r[/tex]

Solve for r

[tex]7=2+r[/tex]

[tex]r=7-2[/tex]

[tex]r=5\ units[/tex]

Answer:

The required equation is 7=2+r and the value of r is 5 units.

Step-by-step explanation:

In the given hanger, the left side of the hanger has 7 boxes in which each box is of one unit.

The sum of left sides is

[tex]1+1+1+1+1+1+1=7[/tex]

The sum of left side is 7.

Right side of the hanger has 2 boxes in which each box is of one unit and pentagon of r units. So, the sum of right side is

[tex]1+1+r=2+r[/tex]

It is given that the hanger represents a balanced equation. It means the left sides is equal to the right side. So, the required equation is

[tex]7=2+r[/tex]

Subtract 2 from both the sides.

[tex]7-2=2+r-2[/tex]

[tex]5=r[/tex]

Therefore the required equation is 7=2+r and the value of r is 5 units.

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