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1 year ago

PLSSSS HELP Choose ALL answers that describe the polygon.

Mathematics

1 answer:

ipn [44]1 year ago

4 0

Answer:

RSTU is a parallelogram, quadrilateral, rectangle, rhombus, and square. NOT trapezoid.

Step-by-step explanation:

The shape has four sides, so it's a quadrilateral.

It has four equal sides so its a rhombus.

It has four right angles so its a rectangle.

It has four equal sides AND right angles so its a square.

And if all the sides are parallel (well, two pairs of parallel sides) its a parallelogram.

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Answer:

The number of ways to select 5 diamonds and 3 clubs is 368,082.

Step-by-step explanation:

In a standard deck of 52 cards there are 4 suits each consisting of 13 cards.

Compute the probability of selecting 5 diamonds and 3 clubs as follows:

The number of ways of selecting 0 cards from 13 hearts is:

${13\choose 0}=\frac{13!}{0!\times(13-0)!} =\frac{13!}{13!}=1$

The number of ways of selecting 3 cards from 13 clubs is:

${13\choose 3}=\frac{13!}{3!\times(13-3)!} =\frac{13!}{13!\times10!}=286$

The number of ways of selecting 5 cards from 13 diamonds is:

${13\choose 5}=\frac{13!}{5!\times(13-5)!} =\frac{13!}{13!\times8!}=1287$

The number of ways of selecting 0 cards from 13 spades is:

${13\choose 0}=\frac{13!}{0!\times(13-0)!} =\frac{13!}{13!}=1$

Compute the number of ways to select 5 diamonds and 3 clubs as:

${13\choose0}\times{13\choose3}\times{13\choose5}\times{13\choose0} = 1\times286\times1287\times1=368082$

Thus, the number of ways to select 5 diamonds and 3 clubs is 368,082.

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Step-by-step explanation:

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