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3 years ago

Which figure is a counterexample to the following statement? A quadrilateral with one pair of parallel sides is a parallelogram.

Mathematics

1 answer:

alekssr [168]3 years ago

8 0

Answer: Trapezoid

A trapezoid is a quadrilateral with exactly one pair of parallel sides. The other two opposite sides are not parallel. In order to have a parallelogram, we need two pairs of opposite parallel sides (not just one pair). Since a trapezoid is not a parallelogram, this means this is a counterexample to the original statement.

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How can you get 3/3 -1/6?

cluponka [151]

9514 1404 393

Answer:

5/6

Step-by-step explanation:

Addition or subtraction of fractions requires a common denominator. The value 3/3 can be multiplied by 2/2 to give 6/6, which has the same denominator as the other fraction.

$\dfrac{3}{3}-\dfrac{1}{6}=\dfrac{3\cdot2}{3\cdot2}-\dfrac{1}{6}\\\\=\dfrac{6}{6}-\dfrac{1}{6}=\dfrac{6-1}{6}=\boxed{\dfrac{5}{6}}$

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3 years ago

1 Find the value of the variables. b 30° a 12 60° a- b =

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Answer:

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Step-by-step explanation:

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3 years ago

A mass suspended from a spring is raised a distance of 5 cm above its resting position. The mass is released at time t=0 and all

miskamm [114]

Rates of change are the change of a quantity over another.

The rate of change of the mass position at 2.1 seconds is -89.6 cm/ s

The given parameters are:

$\mathbf{A = |5|}$ -- the amplitude

$\mathbf{T = \frac 13}$ --- the period

The position of the mass is modeled by:

$\mathbf{y= Acos(wt)}$

Where:

$\mathbf{w = \frac{2\pi }{T}}$

So, we have:

$\mathbf{w = \frac{2\pi}{1/3}}$

$\mathbf{w = 6\pi }$

$\mathbf{y= Acos(wt)}$ becomes

$\mathbf{y = |5|cos(6\pi t)}$

$\mathbf{y = 5cos(6\pi t)}$

Differentiate

$\mathbf{y' = 5 \times -sin(6\pi t) \times (6\pi)}$

$\mathbf{y' = -30\pi sin(6\pi t) }$

When t = 2.1, we have:

$\mathbf{y' = -30\pi sin(6\pi \times 2.1) }$

$\mathbf{y' = -30\pi sin(12.6\pi) }$

$\mathbf{y' = -30\pi \times 0.9510}$

$\mathbf{y' = -89.6296}$

Approximate

$\mathbf{y' = -89.6}$

Hence, the rate of change of the mass position at 2.1 seconds is -89.6 cm/ s

Read more about rates at:

brainly.com/question/15579510

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poizon [28]

51 cards because when he traded with billy he had 46 but then added 7 of eloise's cards he now has 51 and well migel is making an equal trade so by the end of the day he ends up with 51 cards

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Answer:

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