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3 years ago

What is the value of x ??? in trapezoid ABCD?? HELP ASAP

Mathematics

1 answer:

Alexeev081 [22]3 years ago

8 0

It would be 15 because the way you would set it up is equal to 180 because they are opposite and they have to add up to 180 in order for the whole shape to be 360. so 3x+9x=180 and then 12x=180 and divide 180 by 12 which is 15 and you can also plug in 15 to check

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one of the students wants to make a tabletop shaped like a right triangle the tabletop will have the same area as the tabletop s

Paha777 [63]

The area of the given figure is equal to the area of a rectangle with sides 5 feets by 6 feets less the area of four square cut-outs of side 1 feet.
Area of the rectangle = 5 x 6 = 30 square feets.
Area of the four square cut-outs = 4(1 x 1) = 4 x 1 = 4 square feet
Area of the given figure = 30 - 4 = 26 square feet.

Area of a triangle = 1/2 x base x height
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bh = 26 x 2 = 52
possible values of base and height = (1 and 52), (2 and 26), (4 and 13)

5 0

3 years ago

Question 1

Alexxx [7]

Answer:

Water needed for pool = 486 cubic feet

Plastic liner required for the pool = 298.3 feet

Step-by-step explanation:

Top view of the pool is a composite figure, having one rectangle and a trapezoid.

1). Water needed for the pool = volume of the pool

Volume of the pool = Area of the base × Depth

= (Area of the rectangle + Area of the trapezoid)× depth

Area of the trapezoid = $\frac{1}{2}(b_{1}+b_{2})\times h$

= $\frac{1}{2}(11+9)\times (12-1.5)$

= 105 ft²

Area of the rectangle = Length × width

= 11 × 1.5

= 16.5 ft²

Now, volume of the pool = (105 + 16.5) × 4

= 121.5 × 4

= 486 cubic feet

b). Liner required = surface area of the pool excluding top

= Surface area of the walls + Area of the pool base

= (Perimeter of the pool) × depth + area of the base

= (12 + 11 + 1.5 + 10.7 + 9)×4 + 121.5

= 176.8 + 121.5

= 298.3 square feet

Therefore, amount of water required = 486 cubic feet

liner needed = 298.3 square feet

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2 years ago

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klemol [59]

Answer:

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3 years ago

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Ymorist [56]

This is how your answer would look like in vertex form:
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2 years ago