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nekit [7.7K]
2 years ago
8

If sin(2x + 7)degrees =cos(4x-7)degrees, what is the value of x?

Mathematics
1 answer:
nikklg [1K]2 years ago
8 0

Answer:

x = 15

Step-by-step explanation:

cosx = sin(\frac{\pi}{2} - x)

sin x = sin y = > x = sin^{-1}(sin y) = y => x = y

sin(2x + 7)^{\circ} = cos(4x - 7)^{\circ}\\\\sin(2x + 7)^{\circ} = sin(\frac{\pi}{2} - (4x - 7))\\\\(2x + 7) = (\frac{\pi}{2}- (4x -7))\\\\2x + 7 = \frac{\pi}{2} - 4x + 7\\\\6x = \frac{\pi}{2}\\\\x = \frac{\pi}{12}

x = 15

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gtnhenbr [62]
A is your answer

We can cross multiply using x/70=30%/100

Solving it we get:
100x=2100 (70 times 30)
x=21


So we get a, 21 as your answer.

I hope this helped!
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3 years ago
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Answer:

C. Nonlinear

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<u>Algebra I</u>

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Step-by-step explanation:

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lilavasa [31]

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Points A, B, and C are on line AC. Angle CBD has a measure of 140°. What is the measure of angle ABD? 40° 50° 60° 70°
melamori03 [73]

Answer: The correct option is 1 and measure is 40.

Explanation:

It is given that points A, B, and C are on line AC. Angle CBD has a measure of 140°.

Draw a diagram using given information,

From the figure it is noticed that the angle CBD and angle ABD are lies on straight line and lies on the same arc. So, the angle CBD and angle ABD are supplementary angles and their sum is 180 degree.

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