official approval given by an organisation when something / somebody achieves a certain standard
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Answer:

Step-by-step explanation:
The slope intercept form of a line is given as:
y = mx + c
Where m is the slope and c is the y-intercept
Let's rearrange the equation given in this form:
2x - 5y = -11
5y = 2x + 11
y = 2/5 x + 11/5
So the slope is 2/5
Slope of line that is perpendicular to this is the "negative reciprocal" of this slope. Which means the slope of perpendicular line would be -5/2
Thus, equation would become: y = -5/2x + c
Now we need to find c. For this we plug in 7 into x and 5 into y and solve for c [(7,5) is the point given]. Thus,

Thus, the equation of perpendicular line is:

Using the tangent rule:
Tangent(angle) = Opposite leg / Adjacent leg
We will use the 23 degree angle to solve for x.
Tangent(23) = X / 6
x = 6 * tangent(23)
x = 2.5
Answer is in the file below
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The answer is F because my brother is in high school and he knows the's things