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arlik [135]
3 years ago
14

How many sides does a regular polygon have if each interior angle measures 150°?

Mathematics
1 answer:
qwelly [4]3 years ago
8 0

Answer:

12

Step-by-step explanation:

Its interior angle has measure 150∘. Therefore, the exterior angle has measure 180∘−150∘=30∘. Therefore, the number of sides of the regular polygon with interior angle 150∘ is 12.

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24 by 72 by 18 in cubic feet
Vadim26 [7]

I have to assume that the 24, the 72, and the 18 are feet.

If those are the dimensions of a rectangular prism, like a box, a crate,
or a humongous block of ice, then

            Volume = (length) x (width) x (height) =

                             (24-ft) x (72-ft) x (18-ft) =  <em>31,104 cubic ft</em>


If those numbers are <u>inches</u>, then here's the easy way to handle it:

       24 inches  =  2 ft
       72 inches  =  6 ft
       18 inches  =  1.5 ft

               Volume  =  (length) x (width) x (height) =

                                     (2ft) x (6ft) x (1.5ft)  =  <em>18 cubic feet


</em>
7 0
3 years ago
I need help its homwork!!
pashok25 [27]
Th e answer to this question is is combining like terms on both sides
5 0
3 years ago
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STatiana [176]
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3 years ago
How much is 4500 g at $8.80 a kg
GuDViN [60]
The answer to this question is 39.6.
8 0
3 years ago
I will give you Brainlest if you get it right
alexdok [17]
Note that no diagram is drawn to scale.


If the diagram in the first picture is further worked upon, we have polygon ABCDE.

Note also that line AD = 18in and line MD = 10in.
This simply means the line Am = AD - MD = 8in.

We have the height of the triangle needed to solve for the area of the triangle. Area of Triangle = 1/2×b×h
Where b is length base of the triangle and h is the length of height of the triangle.
We still need b to find the Area.

Note also that two opposite sides of parallelograms are equal. This implies that line DC = line EB which is equal to 14in.
In the third image, you can see this. Half the length of the side of the parallelogram is needed. This means 14/2 = 7in.

We can now solve for the Area of the triangle.
Area =  \frac{1}{2} (b \times h)
Area =  \frac{1}{2} (7 \times 8)
Area = 28
We have the are of the triangle to be 28in. Multiply this by 3 to find the total area of all three triangles since the three triangles are identical. Thus,
Total Area of all Triangles = 28×3 = 76in

Now, find the area of the two parallelograms.
Area of parallelogram EBCD = bh

Where b is the length of the base side and h is the height.
Hence from the diagram,
Area = 14 \times 10 \\ Area = 140
Area of parallelogram EBCD is 140in.

Total Area of both Parallelograms will be 140 ×2= 280in since both are identical.

To find the Total Area of the tile pattern add the area of the triangles and the Parallelograms. This is 76 + 280 =356in.

Your answer is 356in.

7 0
3 years ago
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