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Kipish [7]
2 years ago
8

Line EF is the median of the trapezoid ABCD. The median connects the midpoint of the legs of a trapezoid. Use the diagram to fin

d the lengths of the median and base.​

Mathematics
1 answer:
FromTheMoon [43]2 years ago
6 0

Answer:

  • median: 15
  • base: 18

Step-by-step explanation:

The median is the average of the lengths of the two bases:

  5x -20 = (12 + (4x -10))/2

  5x -20 = 2x +1

  3x = 21 . . . . . add 20-2x

  x = 7

Then the lengths are ...

  median = 5x -20 = 5·7 -20 = 15

  base = 4x -10 = 4·7 -10 = 18

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How many​ flowers, spaced every 6 ​in., are needed to surround a circular garden with a ​100-ft ​radius?
Bond [772]

Answer:

Number of flowers required = 1256

Step-by-step explanation:

Circumference of a circle is given by the formula,

Circumference = 2πr

Here, r = radius of the circle

For a circle with radius = 100 in.

Therefore, circumference = 2π(100)

                                           = 200π

                                           = 628.32 ft

Distance between each flower = 6 in

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Number of flowers = \frac{\text{Circumference}}{\text{Space between each flower}}

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                               = 1256.63

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Therefore, number of flowers required = 1256

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3 years ago
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