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3 years ago

What quadrilateral has exactly 2 pairs of consecutive angles that are supplementary and no opposite congruent angles

Mathematics

1 answer:

ratelena [41]3 years ago

5 0

Answer:

If a quadrilateral is a parallelogram, then consecutive angles are supplementary. If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Step-by-step explanation:

Is that it?

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sertanlavr [38]

5 to be honest I just guess

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3 years ago

I bought 8 shirts that cost an average of $27. My sister then added 3 shirts. The 11 shirts had a mean cost of 28.50. How much d

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3 years ago

8. When someone buys a ticket for an airline flight, there is a 0.0995 probability that the person will not show up for the flig

Neporo4naja [7]

Answer:

0.2952

Step-by-step explanation:

Not enough seats will be available if 23 or 24 people show up.

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3 years ago

The sum of the first number cubed and the second number is 500 and the product is a maximum.

soldier1979 [14.2K]

We are given the following information:

the sum of the first number cubed and the second number is 500

their product is a maximum

We are looking for the 2 missing numbers.

To answer this, let's represent the two numbers as x and w.

From the given, we can form the following equation:

$x^3+w=500$

We can then express y as:

$w=500-x^3$

We can express their product as:

$x(500-x^3)=500x-x^4$

To find the maximum value of x, let's solve for the derivative of -x^4 + 500 x.

$\begin{gathered} f(x)=-x^4+500x \\ f^{\prime}(x)=-4x^3+500 \end{gathered}$

Then we solve for the value of x where f'(x) = 0.

$\begin{gathered} -4x^3+500=0 \\ -4x^3=-500 \\ x^3=125 \\ x=5 \end{gathered}$

Then we use x = 5 to solve for the second number, w.

$\begin{gathered} w=500-x^3 \\ w=500-5^3 \\ w=500-125 \\ w=375 \end{gathered}$

Therefore, the two numbers are 5 and 375.

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1 year ago

0.1% of what number is 4?

finlep [7]

$0.4$
that is my answer

4 0

4 years ago

Read 2 more answers