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3 years ago

Quadrilateral RSTQ is a parallelogram.

Mathematics

1 answer:

Ket [755]3 years ago

5 0

Answer:

$\angle T \cong \angle R\\\angle S \cong \angle Q$

Step-by-step explanation:

According to the Parallelogram definition, every Parallelogram have a pair of congruent sides. In this case, Namely $\overline{RS} \cong \overline{TQ}$ and $\overline{QR} \cong \overline{TS}$

(not listed as an option)

And the opposite angles are congruent too.

$\angle T \cong \angle R\\\angle S \cong \angle Q$

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Answer:

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3 years ago

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Alexxandr [17]

Answer:

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Step-by-step explanation:

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3 years ago

Evaluate each of the following. (a) P(11,5) (b) C(11,5) (a) P(11,5) = (Simplify your answer.) (b) C(11,5) = (Simplify your answe

Hunter-Best [27]

<h2>Answer:</h2>

(a) P(11,5)= 55440

(b) C(11,5)=462

<h2>Step-by-step explanation:</h2>

We know that the permutation is the number of ways of arranging r items out of a total of n items and is given by:

$P(n,r)=\dfrac{n!}{(n-r)!}$

and the combination is the number of ways of choosing r items out of a total of n items and is given by:

$C(n,r)=\dfrac{n!}{r!\times (n-r)!}$

(a)

P(11,5)

$P(11,5)=\dfrac{11!}{(11-5)!}\\\\P(11,5)=\dfrac{11!}{6!}\\\\P(11,5)=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{6!}\\\\P(11,5)=11\times 10\times 9\times 8\times 7\\\\P(11,5)=55440$

(b)

C(11,5)

$C(11,5)=\dfrac{11!}{5!\times (11-5)!}\\\\C(11,5)=\dfrac{11!}{5!\times 6!}\\\\C(11,5)=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{5\times 4\times 3\times 2\times 1\times 6!}\\\\C(11,5)=462$

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3 years ago

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uysha [10]

Answer:

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Step-by-step explanation:

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