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2 years ago

An angle is 58º less than its supplement. What is the measure of the angle?

Mathematics

2 answers:

devlian [24]2 years ago

8 0

angle1 = x

angle2 = x - 58

given,

these are supplementary angles

Therefore,

(x) + (x - 58) = 180

x + x - 58 = 180

2x - 58 = 180

2x = 180 + 58

2x = 238

x = 238/2

x = 119

<u>angle1 = 119</u>

<u>angle1 = 119angle2 = 61</u>

Serjik [45]2 years ago

6 0

Answer:

i think it is 122 degrees, as the solution would be to subtract 58 from 180

Step-by-step explanation:

180-58=122

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Considering only the values of β for which sinβtanβsecβcotβ is defined, which of the following expressions is equivalent to sinβ

-Dominant- [34]

Answer:

$\tan(\beta)$

Step-by-step explanation:

For many of these identities, it is helpful to convert everything to sine and cosine, see what cancels, and then work to build out to something. If you have options that you're building toward, aim toward one of them.

${\tan(\theta)}={\dfrac{\sin(\theta)}{\cos(\theta)}$ and ${\sec(\theta)}={\dfrac{1}{\cos(\theta)}$

Recall the following reciprocal identity:

$\cot(\theta)=\dfrac{1}{\tan(\theta)}=\dfrac{1}{ \left ( \dfrac{\sin(\theta)}{\cos(\theta)} \right )} =\dfrac{\cos(\theta)}{\sin(\theta)}$

So, the original expression can be written in terms of only sines and cosines:

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$\sin(\beta) * \dfrac{\sin(\beta) }{\cos(\beta) } * \dfrac{1 }{\cos(\beta) } * \dfrac{\cos(\beta) } {\sin(\beta) }$

$\sin(\beta) * \dfrac{\sin(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}}{\cos(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}} * \dfrac{1 }{\cos(\beta) } * \dfrac{\cos(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}} {\sin(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}}$

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Working toward one of the answers provided, this is the tangent function.

The one caveat is that the original expression also was undefined for values of beta that caused the sine function to be zero, whereas this simplified function is only undefined for values of beta where the cosine is equal to zero. However, the questions states that we are only considering values for which the original expression is defined, so, excluding those values of beta, the original expression is equivalent to $\tan(\beta)$ .

8 0

2 years ago

Daine simplified the expression below.

Dennis_Churaev [7]

Answer:

Step-by-step explanation:

8(1 + 2i) - (7 - 3i) = 8*1 + 8*2i + 7*(-1) - 3i*(-1)

= 8 + 16i -7 + 3i

= 8 - 7 + 16i + 3i

= 1 + 19i

Daniel forgot to multiply 2i by 8

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2 years ago

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$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
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\begin{cases}
n=n^{th}\ term\\
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\\\\\\
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MrRissso [65]

Answer:

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3 years ago

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2 years ago

An angle is 58º less than its supplement. What is the measure of the angle?​

An angle is 58º less than its supplement. What is the measure of the angle?