f'(2) means "the slope of the tangent line to y=f(x) when x=2".
Since that tangent line is drawn, this is really asking, "What's the slope of that line?"
So, what's the rise/run for that line?
Answer:
30°
Step-by-step explanation:
First we must know that the sum of the interior angles of a triangle sum up to 180°. Furthermore, a straight line is also 180°. By using these what we know we can determine what the value of m∠X is.
First we know that m∠W and m∠Z make up a straight line, since m∠W is 105° it follows that:
180° = m∠W + m∠Z
And so:
m∠Z = 180° - m∠W = 180°-105° = 75°
m∠Z = 75°
Now, we also know that the sum of m∠X + m∠Y + m∠Z = 180° and so:
m∠X = 180° - m∠Y - m∠Z
m∠X = 180° - 75° - 75° = 30°
Therefore, m∠X = 30°
It is 10 because 10 to the 3rd power or 10 cubed or 10 x 10 x 10 is equal to 1,000. 10 x 10 = 100 and 100 x 10 = 1,000.
