Answer: C. 30 degrees
Step-by-step explanation:
By definition, an hexagon is a polygon with six sides.
The sum of the interior angles of an hexagon is 720 degrees.
Based on this, the measure of eac interior angle is:

Therefore, the measure of ∠1 is:

So, to find the angle ∠2, you can divide ∠1 by 2:
Answer:
x - y = 2 and x + 2y = -2
Step-by-step explanation:
Since you have the graph, you can easily see that the point of interest is nearest the intersection of the <em>orange</em> and <em>pink</em> lines.
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Recognizing that the intercepts of a line in standard form are ...
ax +by =c
x-intercept: c/a
y-intercept: c/b
You can easily determine the corresponding intercepts for the given lines. We can tell from the graph that we only need to know what the y-intercept is in order to match the equation to the line. Here are the y-intercepts:
- x -y = 2 ⇒ (0, -2) — orange
- x -2y = -2 ⇒ (0, 1) — blue
- x +y = 2 ⇒ (0, 2) — green
- x +2y = -2 ⇒ (0, -1) — pink
The system of equations with the desired solution is ...
x -y = 2 and x +2y = -2
<h3>
Answer: Perpendicular</h3>
The slopes -2/3 and 3/2 multiply to -1, which is sufficient info that the lines are perpendicular. Perpendicular slopes always multiply to -1 assuming neither line is vertical nor horizontal.
Note how -2/3 is the negative reciprocal of 3/2, and vice versa.
Answer:

If we convert the height to meters like this:

And we want to find the volume of the cone and is given by:

And replacing we got:

Step-by-step explanation:
For this case we have a right circular cone with a height of 9.6cm and a base with a diameter of 2.9m. We can find the radius like this:

If we convert the height to meters like this:

And we want to find the volume of the cone and is given by:

And replacing we got:
