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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2 because there are 4 numbers of edges and 4 vertices
Answer:
(x-1)(x+9) or x^2 + 8x-9, if you simplify.
Step-by-step explanation:
Answer:
The numerical length of RS is 10 units
Step-by-step explanation:
* <em>Lets explain How to solve the problem</em>
- Point R is on line segment QS
- The length of QS is (5x - 2)
- The length of QR is (3x - 6)
- The length of RS is (4x - 2)
- <em>The length of QS is the sum of the lengths of QR and RS</em>
∵ QS = QR + RS
∴ (5x - 2) = (3x - 6) + (4x - 2)
- Simplify the right hand side by adding like terms
∴ 5x - 2 = (3x + 4x) + (-6 + -2)
∴ 5x - 2 = 7x + -8 ⇒ (+)(-) = (-)
∴ 5x - 2 = 7x - 8
- Add 8 for both sides
∴ 5x + 6 = 7x
- Subtract 5x from both sides
∴ 6 = 2x
- Divide both sides by 2
∴ x = 3
- <em>To find the length of RS substitute the value of x in its expression</em>
∵ RS = 4x - 2
∵ x = 3
∴ RS = 4(3) - 2 = 12 - 2 = 10
∴ The numerical length of RS is 10 units