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hi <3

vertically opposite angles are equal so make both of them equal to each other

6x + 27 = 12x - 9

add 9 to both sides:

6x + 36 = 12x

subtract 6x from both sides:

6x = 36

divide both sides by 6:

x = 6

hope this helps :)

Step-by-step explanation:

12x - 9 = 6x + 27    {Vertically opposite angles}

Add 9 to both sides

12x = 6x + 27 + 9

12x = 6x + 36

Subtract 6x from both sides

12x - 6x = 36

6x = 36

Divide both sides by 6

x = 36/6

x = 6

gregory's graph is incorrect because it shows 2 inches of growth for each week when it should show 0.75 inches of growth each week.