To convert a mixed number to its lowest form, one needs to change the mixed number into an improper fraction and then reduce this improper fraction to the lowest possible fraction. To do these conversions, one needs to perform a few calculations. One also has to understand the definitions of "mixed number," "improper fraction" and "proper fraction."
Answer:
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Step-by-step explanation:
From the diagram,
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The side of the triangle with length 11.9 is adjacent to the given angle.
We also know the hypotenuse to be 14.5 units.
We therefore use the cosine ratio to get;


We take the inverse cosine of both sides to get;
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I can't see, repost this closer to the camera please.
x=23
Simplifying
(3x + -50) + (7x)
Reorder the terms:
(-50 + 3x) + (7x)
Remove parenthesis around (-50 + 3x)
-50 + 3x + (7x) =
Combine like terms: 3x + (7x)
-50 + 10x
Solving
-50 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '50' to each side of the equation.
-50 + 50 + 10x = 180 + 50
Combine like terms: -50 + 50 = 0
0 + 10x = 180 + 50
10x = 180 + 50
Combine like terms: 180 + 50 = 230
10x = 230
Divide each side by '10'.
Simplifying
x = 23
The required three consecutive numbers are 5,6 and 7.