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Murljashka [212]
3 years ago
14

If AB = 10, BD = 5, and DE= 12, what is the length of BC?

Mathematics
1 answer:
FrozenT [24]3 years ago
4 0

Answer:

BC = 24

Step-by-step explanation:

In the picture attached, the missing triangles are shown:

<u>Data</u>

  • AB = 10
  • BD = 5
  • DE= 12
  • Then, AD = 10-5 = 5

As a consequence of the "Side Splitter" Theorem:

AD/DE = AB/BC

Replacing with data and solving for BC

5/12 = 10/BC

BC = 10*12/5 = 24

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3 years ago
A wooden jewelry box has the shape of a prism with a regular hexagonal base of 85.3 in2. The sides of the hexagonal base are all
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Answer:

792.9 in²

Step-by-step Explanation:

Given:

Area of the base of the regular hexagonal prism box (B) = 85.3 in²

Each side length of hexagonal base (s) = 5.73 in

Height of prism box (h) = 18.10 in

Required:

Surface area of the wood used in making the hexagonal prism box

SOLUTION:

Surface area for any given regular prism can be calculated using the following formula: (Perimeter of Base × height of prism) + 2(Base Area)

Perimeter of the hexagonal base of the prism box = 6(5.73) (Note: hexagon has 6 sides.)

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3 years ago
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