Answer:
3 < x < 27
Step-by-step explanation:
We can't tell what "must ne greater" means, so we'll tell you the limits on the side length and you can choose the one that is relevant.
The third side of a triangle must have a length that lies between the difference and sum of the two lengths you know.
15 -12 = 3
15 +12 = 27
The value of x must be between 3 and 27:
3 < x < 27
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If you allow the triangle to have zero area, then x can be 3 or 27. Many authors claim such a "triangle" is not allowed, so don't allow those cases.
Just make the equation look like this y = mx + b
So 3x + y =10 would equal y = -3x + 10
Answer:
α = 27.9794744° ≈ 28.0 m (nearest tenth)
Step-by-step explanation:
Step 1:
Opposite (O) = 42.5 (the side opposite to the reference angle, α)
Adjacent (A) = 80
Hypotenuse (H) = the longest side opposite to the right angle
2. We are given the adjacent (A) and opposite (O) lengths, we would use TOA. Which is:
Tan α = Opp/Adj
Plug in the values
Tan α = 42.5/80
3. Make α stand alone
α = 
4. α = 27.9794744° ≈ 28.0 m (nearest tenth)
