Step-by-step explanation:
Given inequality is 
.
To graph that inequality, first we need to graph the line 
. Then shade it for the inequality symbol <.
Graphing line can be done using two points.
plug x=0 into , we get:
Hence first point is (0,2)
Similarly plug any random number for x say x=4, we get:
Hence first point is (4,5).
Now we just need to graph both points and join them by a dotted line. because we have < not <=.
Next part is to test for shading.
Which can be done using any test point which is not on the given line. Say (0,0)
plug x=0,y=0 into .
0<2
which is true, hence shading will be in direction of test point (0,0).
Hence final answer will be the choice which looks like the graph attached below;
Answer:
The arcs are drawn to find a point on the bisecting ray. If the arcs are the same width, it makes sure that they are equidistant from the points on the rays of the angle. This causes the point to be on the bisecting ray.
Step-by-step explanation:
Bisection of an angle implies dividing the angle into two equal parts. The ray that divides the angle is called a bisector.
The hunter should use the same radius or width to draw the two arcs, using points P and Q as the center interchangeably, so that they would intersect at an equidistant point to P and Q. The point of intersection lies on the bisecting ray of the angle.
Answer:
158.4
Step-by-step explanation:
Answer:
15/8 hours .................
Step-by-step explanation:
Let L be Laura, and B be Ben. Then:
3L=1
5B=1
Next:
15L=5
15B=3
15(L+B)=5+3=8
15/8 (L+B)=1
Answer:
210 + -1x
Step-by-step explanation:
Simplifying
X + (x + -30) = 180
Reorder the terms:
X + (-30 + x) = 180
Remove parenthesis around (-30 + x)
X + -30 + x = 180
Reorder the terms:
-30 + X + x = 180
Solving
-30 + X + x = 180
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '30' to each side of the equation.
-30 + X + 30 + x = 180 + 30
Reorder the terms:
-30 + 30 + X + x = 180 + 30
Combine like terms: -30 + 30 = 0
0 + X + x = 180 + 30
X + x = 180 + 30
Combine like terms: 180 + 30 = 210
X + x = 210
Add '-1x' to each side of the equation.
X + x + -1x = 210 + -1x
Combine like terms: x + -1x = 0
X + 0 = 210 + -1x
X = 210 + -1x
Simplifying
X = 210 + -1x
