You should first of all distribute and combine like terms on both sides. You should subtract 6x from both sides. Once you have done that, you should add 80 to both sides and divide by 6 to get your answer as a simplified fraction of x=-2/3. The correct answer is b.
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Answer: x = 19.7 (choice C)</h3>
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Explanation:
The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.
Also unknown is the value of x which is the hypotenuse.
To summarize:
- opposite = vertical leg = 8
- adjacent = horizontal leg = unknown
- hypotenuse = x
The hypotenuse is always opposite the 90 degree angle.
To tie together the opposite and hypotenuse, we'll use the sine ratio
sin(angle) = opposite/hypotenuse
sin(24) = 8/x
x*sin(24) = 8
x = 8/sin(24)
x = 19.6687 approximately
x = 19.7 after rounding to the nearest tenth.
Side note: your calculator needs to be in degree mode