Questions 150
1 answer:
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A) I included a graph, look below.
B)
Input the y in x = y + 3.
x = (-4x - 3) + 3
x = -4x + 0
Add 4x to both sides.
5x = 0
Divide both sides by 5.
x = 0
Input that x value in y = -4x - 3
y = -4(0) - 3
y = 0 - 3
y = -3
(0, -3)
C)
Convert both equations to Standard Form.
x = y + 3
Subtract y from both sides.
x - y = 3
y = -4x - 3
Add 4x to both sides.
4x + y = -3
Add the equations together.
4x + y = -3
x - y = 3
equals
5x = 0
Divide both sides by 5.
x = 0
Input that into one of the original equations.
0 = y + 3
Subtract 3 from both sides.
-3 = y
(0, -3)
B)
Input the y in x = y + 3.
x = (-4x - 3) + 3
x = -4x + 0
Add 4x to both sides.
5x = 0
Divide both sides by 5.
x = 0
Input that x value in y = -4x - 3
y = -4(0) - 3
y = 0 - 3
y = -3
(0, -3)
C)
Convert both equations to Standard Form.
x = y + 3
Subtract y from both sides.
x - y = 3
y = -4x - 3
Add 4x to both sides.
4x + y = -3
Add the equations together.
4x + y = -3
x - y = 3
equals
5x = 0
Divide both sides by 5.
x = 0
Input that into one of the original equations.
0 = y + 3
Subtract 3 from both sides.
-3 = y
(0, -3)
The vertical angles from the attached image will be; 1 and 4; 2 and 3; 5 and 8; 6 and 7.
The Linear pair angles would be: 1 and 3; 2 and 4; 5 and 7; 6 and 8; 1 and 2; 3 and 4; 5 and 6; 7 and 8
<h3>How to identify angle theorems?</h3>
A) From the attached image, the side roads resemble 2 parallel lines cut by a transversal.
Now, if we consider the roads to be very fat lines, then it means that the main road is the transversal while the two side roads are parallel to each other.
B) Vertical angles are defined as angles that are opposite of each other The vertical angles from the attached image will be; 1 and 4; 2 and 3; 5 and 8; 6 and 7.
The Linear pair angles would be: 1 and 3; 2 and 4; 5 and 7; 6 and 8; 1 and 2; 3 and 4; 5 and 6; 7 and 8when two lines cross
The supplementary angles would be: 3 and 5; 4 and 6
C) If a fourth road is constructed, it will be perpendicular to the main road, or perpendicular to the two side roads, and it will form a right triangle.
Thus, the acute angles of the triangles will be complementary because their sum will be 90°
Read more about Angle Theorems at; brainly.com/question/24839702
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