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iris [78.8K]
3 years ago
7

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}}

5 0
3 years ago
1<br> Find the value of the variables.<br> b<br> 30°<br> a<br> 12<br> 60°<br> a-<br> b =
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Answer:

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Step-by-step explanation:

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4 0
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

6 0
2 years ago
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Answer:

1700 times smaller

Step-by-step explanation:

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