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Step-by-step explanation:

Given that :

Total number of marbles = 54

All marbles are red and blue

Fraction of blue = 1/3

Hence,

Number of Blue = 1/3 * 54 = 18

Hence,

Number of red = 54 - 18 = 36

Ratio of blue to total ;

18 : 54 = 1 : 3

Ratio of Red to total;

36 :54 = 2 : 3

Ratio of Red to blue :

36 : 18 = 2 : 1

Number of red = 36

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: