Find the values of the variables in each
1 answer:
Answer:
y = 7/3 and x = 1
Step-by-step explanation:
Since this figure is a parallelogram, the opposite sides of the parallelogram are congruent, therefore:
2y-9 = y-2 and 3x+1 = 5x-1
y and x can now be found algebraically:
2y-9 = y-2 3x+1 = 5x-1
3y-9 = -2 -2x+1 = -1
3y = 7 -2x = -2
y = 7/3 x = 1
So y is 7/3 and x is 1. When showing your work I would also mark the opposite sides of the parallelogram as congruent to one another (see image as reference).
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Answer:
choice A; 128.52 square feet
Step-by-step explanation:
This shape is made up of a semi-circle and a rectangle. The area of the rectangle will be 12*6 = 72 sq ft.
The formula for area of a circle is *
. also r=radius. We are given the diameter, 12 feet. The radius is diameter/2, so the radius of the circle will be 6 feet.
Since pi is infinite we round it to 3.14.
Plug in the values and our expression will be (3.14*)/2 because it is a semi-circle. Simplify that to (3.14*36)/2 = 113.04/2 = 56.52 sq ft.
Remember to add the area of the rectangle and semi-circle. 72 + 56.52 = 128.52 sq ft.