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gayaneshka [121]
3 years ago
6

3. Different sizes of regular hexagons are used in a quilt. Each small hexagon has side lengths of 4 inches and an area square i

nches. Each large hexagon has side lengths of 8 inches. What is the area of each large hexagon?

Mathematics
1 answer:
Galina-37 [17]3 years ago
8 0
The area of each large hexagon is 83.2 square inches
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Two regular pentagons have areas of 20 mm² and x² - x mm². What values of x make the pentagons congruent?
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<u>Answer</u>

5 and -4


<u>Explanation</u>

If the two triangle are congruent then they have the same area.

20 = x² - x

x² - x - 20 = 0

x² - x + (1/2)² = 20 + (1/2)²

(x - 1/2)² = 20.25

x - 1/2 = √20.25

x - 1/2 = 4.5                             or    x - 1/2 = - 4.5

x = 4 1/2 + 1/2                                      x = -4 1/2 + 1/2

   = 5                                                      = -4

The values of x are 5 and -4.



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