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Goryan [66]
3 years ago
11

Trapezoid А B х 130 70 y с D X = y =

Mathematics
1 answer:
Alchen [17]3 years ago
8 0

Answer:

x=110, y=50

Step-by-step explanation:

Draw a line perpendicular to the base CD from point A. The point of intersection is E. Angle AED=90 degrees. This is a right angle triangle. A triangle has a total angle of 180 degrees. Angle DAE is then 180-(90+70) = 20. The bases of a trapezoid are parallel to each other, making angle EAB a right angle. Add 90 + 20, and you'll get 110 degrees. This is the value of x.

Draw another line perpendicular to the base CD, this time from point B. The point of intersection is F. Angle ABF is 90 degrees. Angle FBC is 130-90=40. Angle BFC is also 90 degrees. You once again find the difference of the numbers from 180. 180-(40+90)=180-130=50. y=50 degrees.

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3 years ago
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Digiron [165]

Answer:

3. 294 m²

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Step-by-step explanation:

To find the surface area of any figure, you can simply find the sum of the areas of all the sides.  In question 3, the figure is a triangular prism that has two triangular bases and three rectangular sides.  The measurements for the triangles are b = 9m and h = 6m.  The formula for the area of a triangle is base times height divided by 2, or 9 x 6 = 54/2 = 27 m². However, since there are two triangular bases, the area for both is 54 m².  The measurements for the other three rectangles are given:

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SA = 6(176)² = 185,856 mm²

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Step-by-step explanation:

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Step-by-step explanation:

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