Answer:
The first option.
Step-by-step explanation:
In order to effectively simplify, you need to divide the side with the variable by a number that is less than or equal to the number. 3 goes into 36 twelve times.
3g = 36.
3g/3 = g
36/3 = 12
g = 12 when divided by 3.
The <em>correct answer</em> is:
Place the point of the compass on the vertex of our original angle. Open the compass to a random width and draw an arc through both legs of the angle. Mark the points of intersection with this arc and the sides of the angle.
Explanation:
In order to copy the angle, we need to have some reference for how wide the angle is.
So far all we have is a ray. To get the reference for the width that we need, we will construct an arc in the original angle such that it intersects each side of the angle.
We will then set the compass width to these points of intersection. This will be how we set the width of the new angle.
Step-by-step explanation:
Part A:
Let 
be the number of mittens and 
be the number of scarves. Then we have the inequalities:
<em>This says Nivyana and Ana cannot make more than 30 scarves</em>
<em>This says that</em> <em>Nivyana and Ana have to earn at least $1000.</em>
Part B:
The graph is attached.
Notice that the graphs of the inequalities are solid lines, this just means that the points on these lines included to the solutions of each inequality.
The darker shaded region and the solid lines bounding it, are the solutions to the inequalities because that's where the values common to both inequalities are found.
Part C:
From the graph we get two possible solutions:
15 scarves & 10 mittens
25 scarves & 5 mittens.
These two points lie on the solid lines that bound the darker shaded region<em> (I picked those points to stress that the lines bounding the dark region are also solutions.)</em>
