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214.08 cm²

Step-by-step explanation:

To find the whole area of an irregular polygon, you must first break it into polygons that are findable. For this figure, we can break it up into two figures, a triangles and a rectangle. To find the triangle, we must first find the height of it. To get that, we take the length of the blue line (the height of the entire figure), and subtract the height of the rectangle (9.6 cm) to  get a height of 5.7 cm for the triangle. the area formula for a triangle is 1/2 of the base multiplied by the height. To get the base of the triangle, we add the base of the rectangle to the parts of the triangle that hang past it (6.2 cm in total). 6.2 + 12.8 gives us 19 cm. Now we have (19 x 9.6) divided by 2 to give us 91.2 cm². The area formula for a quadrilateral is just the base (12.8 cm) multiplied by the height (9.6 cm), to give us 122.88 cm². Add the area of the rectangle to the area of the triangle to get our answer, 214 cm².

*So sorry for the first answer, my bad.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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