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4 years ago

If RQRS is a parallelogram with two adjacent congruent sides then____

Mathematics

1 answer:

earnstyle [38]4 years ago

5 0

Answer:

If PQRS is a parallelogram with two adjacent congruent sides, then it must be a rhombus. A rhombus is a parallelogram characterized by having all sides congruent. Therefore, the adjacent sides must be congruent as well.

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Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).

Sever21 [200]

$\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta$

$\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}$

Since $\alpha$ lies in quadrant II, we have $\cos\alpha$ , so

$\cos\alpha=-\sqrt{\dfrac{400}{841}}=-\dfrac{20}{29}$

$\cos\beta=\dfrac{15}{17}\implies\sin^2\beta=1-\cos^2\beta=\dfrac{64}{289}$

$\beta$ lies in quadrant I, so $\sin\beta>0$ and

$\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}$

So

$\sin(\alpha-\beta)=\dfrac{21}{29}\dfrac{15}{17}-\left(-\dfrac{20}{29}\right)\dfrac8{17}=\dfrac{475}{493}$

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3 years ago

Every weekend, Morgan buys interesting clothes at her local thrift store and then resells them on an auction website. If she bri

Artyom0805 [142]

150 - s <== ur expression

when s = 27.13
150 - 27.13 = 122.87

when s = 55.14
150 - 55.14 = 94.86

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3 years ago

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If 8a+7b+c=9 then what is -6c-48a-42b

kati45 [8]

Your answer would be 6

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3 years ago

Please please please help me thanks

goldfiish [28.3K]

Answer:

1. 57 2. 81

Step-by-step explanation:

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3 years ago

Can x in f(x) be replaced by another letter? For example f(a);Would that be the same thing?

Murljashka [212]

Answer:

Yes

Step-by-step explanation:

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