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Kaylis [27]
3 years ago
10

Which pairs of angles are supplementary? A) ∠BCD and ∠BAD B) ∠BCD and ∠ABC C) ∠BCD and ∠CDA D) ∠ABC and ∠BAD

Mathematics
1 answer:
Bogdan [553]3 years ago
4 0
<span>∠ABC ∠BAD is the correct answer

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I need to know if this H(3,2),J(4,1),K(-2,-4),M(-1,-5) is parallel perpendicular or neither I need to show my work and write my
Shkiper50 [21]

Answer:

Step-by-step explanation:

H(3,2)  & J(4, 1)

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K(-2,-4)  & M(-1 , -5)

Slope =\dfrac{-5-[-4]}{-1-[-2]}\\\\=\dfrac{-5+4}{-1+2}\\\\= \dfrac{-1}{1}\\\\\\= -1

Line HJ and KM have same slopes. So, they are parallel

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A 11-inch board is cut into 6 equal length pieces. How long is each piece?
Dennis_Churaev [7]

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1.8inches or 1.83in repeating.

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The length of a rectangle is 4 cm less than it’s width. If the area of the rectangle is 165 cm^2. What are the dimensions of the
Monica [59]

Answer:

The dimensions are 11 cm by 15 cm

Step-by-step explanation:

Area of a rectangle = (length)(width).

Let L represent the length and W the width.

Since L = W - 4, we have

Area of rectangle = (W - 4)W = 165 cm^2.

Thus, w^2 - 4W - 165 = 0.  We can solve for W using the quadratic formula:

a = 1, b = -4 and c = -165.  Thus,

        -(-4) ± √ [ (-4)² - 4(1)(-165) ]

W = ---------------------------------------

                        2

         4 ± √ [16 + 660 ]

W = ------------------------------

                       2

         4 ± √ [ 676 ]                    4 ± 26

W = -----------------------  =   W = -------------  =  W  = 2 ± 13

                  2                                  2

Thus, W is 2 + 13 = 15.  It cannot be negative, so we discard 2 - 13 = -11.

If the width, W, is 15, then the length is 4 less, or L = 11.

The dimensions are 11 cm by 15 cm

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