<h3>
Answer: 297 square cm</h3>
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Work Shown:
Break up the figure as shown in the diagram below.
A rectangle and trapezoid form
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Area of rectangle = base*height = 9*15 = 135 cm^2
Area of trapezoid = (1/2)*(b1+b2)*h = (1/2)*(18+9)*12 = 162 cm^2
total area = (area of rectangle)+(area of trapezoid)
total area = (135) + (162)
total area = 297 square cm
Answer:
−
√
3
/2 or -0.86602540 ...
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
4 - 7x = 1 - 6x (Given)
4 - 1 - 7x = 1 - 1 - 6x (Subtraction Property of Equality)
3 - 7x = -6x (Simplify)
3 - 7x + 7x = -6x + 7x (Addition Property of Equality)
3 = x (Simplify)
x = 3 (Symmetric Property of Equality)
Opposite sides of a parallelogram are equal lengths, so ...
... AB = CD
... 6x +30 = 2y -10
and
... BC = AD
... 2x -5 = y -35
_____
The equations can be put in standard form to get
... 3x -y = -20
... 2x -y = -30
Subtracting the second from the first, we get
... x = 10
Solving for y, we have
... y = 2x+30 = 2·10 +30 = 50
The values of x and y are x=10, y=50.
_____
AB = 6x+30 = 90
BC = 2x-5 = 15
Answer:
3.5 repeating
Step-by-step explanation: