I need help with this math thing thanks
2 answers:
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Let
x--------> the measure of the adjacent interior angle
y--------> the measure of an exterior angle at the vertex of a polygon
we know that
The measure of the adjacent interior angle and the measure of an exterior angle at the vertex of a polygon are supplementary angles
so
°
<u>Examples</u>
case 1)
<u>In a square</u>
°
so
°
In this case
The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle
case 2)
<u>an equilateral triangle</u>
°
so
°
In this case
The measure of an exterior angle at the vertex of a polygon is not equals the measure of the adjacent interior angle
therefore
<u>the answer is</u>
sometimes
Rewrite the inequality as
We can compare this expression to the function
The inequality states that we want to consider all the point whose y coordinates are greater than the ones of the points that lay on the graph.
So, we can graph the inequality in two steps:
- Graph the line
- Consider all the point above the graph (greater y values means "higher")
Since the function is a line (because it is a first-degree polynomial), you can graph it by simply sampling two points: if for example we choose x=0 and x=1, the correspondent y values are
So, the line passes through the points (0,4) and (-1,2). Connect them and you have the graph of the line.