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kakasveta [241]
2 years ago
12

Find the missing length. The triangles in each pair are similar?

Mathematics
1 answer:
larisa [96]2 years ago
7 0

Answer:

The length of the missing side is 117 :)

Step-by-step explanation:

I set up a proportion using sides NM, LD, LN, and DC :

182/28 = x/18

182(18) = 28x

3276 = 28x

3276/28  = 28x/28

x = 117

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The length of one of the sides of a square was increased by 4 dm, and the other one was decreased by 6 dm. As a result, a rectan
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Answer:

The answer to your question is 10 dm

Step-by-step explanation:

Data

length of a rectangle = x + 4

height of a rectangle = x - 6

Area of the rectangle = 56 dm²

length of the square = x

Process

1.- Find x with the information given for the rectangle

    Area = length x height

Substitution

    56 = (x + 4)(x - 6)

Expand

    56 = x² - 2x - 24

Equal to zero

            x² - 2x - 24 - 56 = 0

Simplify

             x² - 2x - 80 = 0

Factor

            (x - 10)(x + 8) = 0

Equal to zero

             x₁ -10 = 0          x₂ + 8 = 0

             x₁ = 10               x₂ = -8

2.- Conclusion

The length of the square is 10 dm because there are no negative lengths.                  

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