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gogolik [260]
3 years ago
12

What is the value of X? Please show your work

Mathematics
1 answer:
MrRissso [65]3 years ago
3 0

Answer:

∠A=40°

∠B=144°

∠C=140°

∠D=36°

Step-by-step explanation:

in a cyclic quadrilateral sum of opposite angles=180°

here ∠B+∠D=180

4x+x=180

5x=180

x=36°

∠D=36°

∠B=180-36=144°

similarly ∠A+∠C=180°

2y+7y=180

9y=180

y=20

∠A=2×20=40°

∠C=7×20=140°

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Answer: Choice C) 124 square cm

------------------------------------------------------------------

Explanation:

Let's calculate the area of the trapezoid shown
b1 and b2 are the parallel bases; h is the height of the 2D trapezoid
b1 = 2
b2 = 5
h = 1.5

A = h*(b1+b2)/2
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The area of one 2D trapezoid is 5.25 sq cm
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Keep this value (10.5) in mind. We'll use it later.

------------

Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
LSA = p*d
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d = depth or height of the 3D trapezoid (I'm not using h as it was used earlier)
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In this case the perimeter is,
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10.5+113.5 = 124

The total surface area is 124 square cm
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