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Leona [35]
3 years ago
10

What is measure WR and RT

Mathematics
1 answer:
iren [92.7K]3 years ago
8 0

\frac{2x + 6}{x + 6}  =  \frac{10}{8}  =  \frac{5}{4}  \\ 8x + 24 = 5x + 30 \\ 3x =  6 >  >  > x = 2
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Step-by-step explanation:

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Find sec 2Theta in exact value
forsale [732]

Answer:

sec(2\theta)=-\frac{5}{4}

Step-by-step explanation:

we know that

step 1

Find cos(\theta)

we know that

tan^2(\theta)+1=sec^2(\theta)

we have

tan(\theta)=3

substitute

3^2+1=sec^2(\theta)

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Remember that

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so

sec(\theta) is positive

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Remember that

sec(\theta)=\frac{1}{cos(\theta)}

therefore

cos(\theta)=\frac{1}{\sqrt{10}}

step 2

Find sin(\theta)

we know that

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

sin(\theta)=tan(\theta)cos(\theta)

we have

cos(\theta)=\frac{1}{\sqrt{10}}

tan(\theta)=3

substitute

sin(\theta)=(3)(\frac{1}{\sqrt{10}})

sin(\theta)=\frac{3}{\sqrt{10}}

step 3

Find cos(2\theta)

we know that

cos(2\theta)=2cos^2(\theta)-1

we have

cos(\theta)=\frac{1}{\sqrt{10}}

substitute

cos(2\theta)=2(\frac{1}{\sqrt{10}})^2-1

cos(2\theta)=\frac{1}{5}-1

cos(2\theta)=-\frac{4}{5}

Remember that

sec(2\theta)=\frac{1}{cos(2\theta)}

therefore

sec(2\theta)=-\frac{5}{4}

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lakkis [162]

Answer:

Its A C and D

Step-by-step explanation:

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