Given:
For a function f, .
To find:
The coordinates of a point on the graph of f.
Solution:
We have,
It means the value of function f is 10 at -4.
On a coordinate plane x-axis represents the input values and y-axis represents the output values of a function. So,
x-coordinate = input value = -4
y-coordinate = output value = 10
Therefore, the required coordinates of a point on the graph of f are (-4,10).
Based on the triangle sum theorem, exterior angle theorem, the true statements are:
m∠5 + m∠6 = 180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
<h3>What is the Triangle Sum Theorem and the Exterior Angle Theorem?</h3>According to the triangle sum theorem, m∠2 + m∠3 + m∠5 = 180°.
Also, based on the exterior angle theorem, m∠2 + m∠3 = m∠6.
∠5 and ∠6 are a pair of linear angles, therefore: m∠5 + m∠6 = 180°.
In summary, the true statements about the diagram given are:
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