What are the solutions of the equation f(x) = g(x), given the following:
1 answer:
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Answer:
Step-by-step explanation:
This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:
Therefore, the value of x is 11.
You can double-check using the sine ratio:
Insert the values:
Insert the equation into a calculator:
:Done
*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.
The drawing seems to suggest that angles BFA, AFE and EFD span a straight angle, just like angles BFC and CFD
This means that you have
But we know that both BFA and EFD measure 70 degrees, so the equation becomes
So, if you subtract 140 from both sides, you have