Answer:
x=10, z=97
Step-by-step explanation:
For X:
Since 83 and (13x-47) are vertically opposite they are equal:
13x-47=83
Add 47 to both sides:
13x-47+47=83+47
Simplify:
13x=130
Divide both sides by 13:
13x÷13=130÷13
Simplify:
x=10
For Z:
The angles (13x-47) and z are on a straight line so we can equate the sum of these 2 to 180:
(13x-47)+z=180
Substitute value of x worked out from previous working out:
13(10)-47+z=180
Simplify:
130-47+z=180
83+z=180
Subtract 83 from both sides:
83+z-83=180-83
Simplify:
z=97
Answer:
A solution point is (2,2)
Step-by-step explanation:
Graph the lines. If it is just greater that or less than, use dashed lines. I fits greater than or equal too, or other symbols like that, use a solid line
Use the test point (0,0). If it satisfies the inequality, shade the side of the graph with that point (you can use any test point, not just (0,0)). If it doesn't satisfy, then shade the other side
The Shaded area shared by both lines is the area of the solution
The correct answer is:
there must be at least two lines on any plane because a plane is defined by 3 non-collinear points.
Explanation:
Since a plane is defined by 3 non-collinear points, we could have: a line and a point not on that line; two intersecting lines; two parallel lines; or simply 3 non-collinear points.
For 3 non-collinear points: If none of the 3 points are collinear, then we could have 3 lines, 1 going through each point. These lines may or may not intersect. If two of the 3 points are collinear, then we have a line through those 2 points as well as a line through the 3rd point.. Again, these lines may intersect, or they may be parallel.
Answer:
6 quarters and five dimes
Step-by-step explanation:
;)
Answer:
1) Angle AOC + Angle COB = Angle AOB
Angle AOC = X
Angle COB = Y
putting in equation, we get
X + Y = AOB
2) Angle X + Y = AOB (proved above)
AOB = 90° ( given)
Angle X + Angle y = 90°
Angle X is the complement of Y
