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balu736 [363]
3 years ago
9

Find a solution for the equation. Assume that all angles are acute angles.

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
3 0
         tan(3θ + 17) = cot(θ + 7)
(3θ + 17) + (θ + 7) = 90
(3θ + θ) + (17 + 7) = 90
               4θ + 24 = 90
                     - 24  - 24
                        4θ = 66
                         4       4
                          θ = 16.5
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Henry can type 3500 words in 70 minutes. Colin can type 1500 in 30 minutes. Brian can type 2200 words in 40 minutes. Who types a
Snezhnost [94]

Given:

Henry can type 3500 words in 70 minutes.

Colin can type 1500 in 30 minutes.

Brian can type 2200 words in 40 minutes.

To find:

The person who types at the fastest rate of words per minute.

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We know that,

\text{Rate of words per minute}=\dfrac{\text{Number of words}}{\text{Number of minutes}}

Using this formula, we get

\text{Henry's rate of words per minute}=\dfrac{3500}{70}=50

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\text{Brian's rate of words per minute}=\dfrac{2200}{40}=55

Since 55>50, therefore Brian's types at the fastest rate of words per minute.

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Given that lines a and bare parallel, what angles formed on line b when cut by the transversal are congruent with <3
Evgesh-ka [11]

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Take 8 angles, 1,2,3,4,5,6,7 & 8 present on the lines A & B. Let C is a transversal cutting the lines A & B.

Here the pairs of angles are 1 & 5, 2 & 6, 3 & 7, 4 & 8.

Alternate Interior angles are 3 & 5, 4 & 6.

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