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givi [52]
3 years ago
5

Find the value of x.

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
3 0

Answer:

  x = 5

Step-by-step explanation:

The sum of the side lengths shown is ...

  (2x) + (3x +2) + (4x +1) = 9x +3

That is the perimeter of the inscribed triangle. That triangle is similar to triangle ABC by a scale factor of 1:2, so the perimeter of ΔABC is ...

  2(9x +3) = 96 = 18x +6

  90 = 18x . . . . subtract 6

  90/18 = x = 5 . . . . . divide by the coefficient of x

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The surface area of the composite figure is 144 square cm after calculating separately.

<h3>What is a triangular prism?</h3>

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.

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Learn more about triangular prisms here:

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