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Vinvika [58]
2 years ago
5

If the sum of the interior angle of a polygon is 1800 how many sides does it have

Mathematics
1 answer:
Verdich [7]2 years ago
6 0

Answer: 12 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is 180(n-2), where n is the number of sides

180(n-2)=1800\\\\n-2=10\\\\n=12

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The perimeter of the original rectangle is ______
sergey [27]

Answer:

  • perimter of original rectangle = <u>17. 6 mm</u>
  • side length of the enlarged rectangle = <u>23. 22 mm</u>
  • perimeter of the enlarged rectangle = <u>95. 04 mm</u>

Step-by-step explanation:

<u>PERIMETER</u><u> </u><u>OF</u><u> </u><u>ORIGINAL</u><u> </u><u>RECTANGLE</u>

  • Length of original rectangle = 4.5 mm
  • Width of original rectangle = 4.3 mm

<em>perimeter = 2 × ( length + width)</em>

= 2 × ( 4.5 + 4.3)

= 2 × 8.8

= 17. 6 mm

<u>SIDE</u><u> </u><u>LENGTH</u><u> </u><u>OF</u><u> </u><u>ENLARGED</u><u> </u><u>RECTANGLE</u>

  • Width of original rectangle = 4. 5 mm
  • Width of enlarged rectangle = 24.3 mm

Enlargement factor = 24.3 / 4.5

= 5.4

  • Length of original rectangle = 4.5 mm
  • Enlargement factor = 5.4

Side length of enlarged rectangle

= original length × Enlargement factor

= 4.3 × 5.4

= 23. 22 mm

<u>PERIMTER OF ENLARGED RECTANGLE</u>

= 2 × ( enlarged ength + enlarged breadth)

= 2 × (23. 22 + 24. 3 )

= 95. 04 mm

8 0
2 years ago
Measure the width of the paper clip to the nearest millimeter
Elenna [48]

Answer: 4/10

Step-by-step explanation:

6 0
2 years ago
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A factory ship the 100 boxes with 15 skateboards in each box and 10 boxes with 15 helmets in each box
netineya [11]

Answer:

150(10s + h)

Step-by-step explanation:

We need to write an expression for the total items they shipped.

Let each skateboard be s.

Let each helmets be h.

The factory ships 100 boxes with 15 skateboards in each box. That is:

100 * (15 * s) = 1500s

The factory ships 10 boxes with 15 helmets in each box. That is:

10 * (15 * h) = 150h

The total number of items shipped is therefore:

1500s + 150h = 150(10s + h)

This expression represents the total number of items shipped.

5 0
3 years ago
6. Solve the following equation for x. Show each step.<br> 5x + 2 = 3x + 4(2x - 1)
monitta

Answer:

x=1

Step-by-step explanation:

5x + 2 = 3x + 4(2x - 1)

Distribute the 4

5x + 2 = 3x + 8x - 4

Combine like terms

5x + 2 = 11x - 4

Subtract 5x from each side

5x -5x + 2 = 11x - 5x - 4

2 = 6x-4

Add 4 to each side

2+4 = 6x-4+4

6 = 6x

Divide each side by 6

6/6 =6x/6

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2 years ago
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Money is borrowed at 12
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Because 1023.68 is 112% of the loan, you can divide by 1.12 to get 914, which is the answer
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