Please help! will mark brainliest

x = 67

Step-by-step explanation:

∠ C = ∠ FGD ( corresponding angles )

Consecutive angles in a parallelogram sum to 180° , then

∠ B + ∠  C = 180 , substitute values

73 + x + 40 = 180

x + 113 = 180 ( subtract 113 from both sides )

x = 67

Step-by-step explanation:

<B = <GFE                       The parallelograms are similar.

<GFD + <GFE = 180         Consecutive angles in a parallogram = 180

<GFD = x + 40                 Given

FGE = 73                          Step One

x + 40 +   73 = 180           Substitution

x + 113 = 180                     Subtract 113 from both sides

x = 67  

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

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: