Answer: we might have come across different types of lines such as parallel lines, perpendicular lines, intersecting lines, and so on. Apart from that, we have another line called transversal.
This can be observed when a road crosses two or more roads or a railway line crosses several other lines. These give a basic idea of a transversal. Transversals play an important role in establishing whether two or more other lines in the Euclidean plane are parallel.
In this article, you will learn the definition of transversal line, angles made by the transversal with parallel and non-parallel lines with an example.
SOOO in English its LM is the transversal made by the parallel lines PQ and RS such that:
The pair of corresponding angles that are represented with the same letters are equal.
If two parallel lines are cut by a transversal, each pair of alternate interior angles are equal. Transversal property 2
Answer:
Rectangular area as a function of x : A(x) = 200*x + 2*x²
A(max) = 5000 m²
Dimensions:
x = 50 m
l = 100 m
Step-by-step explanation:
"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:
A(r) = x* l and the perimeter of the rectangular shape is
P = 2*x + 2*l but we won´t use any fencing material along the wll of the barn therefore
P = 2*x + l ⇒ 200 = 2*x + l ⇒ l = 200 - 2*x (1)
And the rectangular area as a function of x is:
A(x) = x * ( 200 - 2*x) ⇒ A(x) = 200*x + 2*x²
Taking derivatives on both sides of the equation we get:
A´(x) = 200 - 4*x ⇒ A´= 0
Then 200 - 4*x = 0 ⇒ 4*x = 200 ⇒ x = 50 m
We find the l value, plugging the value of x in equation (1)
l = 200 - 2*x ⇒ l = 200 - 2*50 ⇒ l = 100 m
A(max) = 100*50
A(max) = 5000 m²
Answer: Yep! This is true.
Explanation: Real number subsets also include irrational numbers, whole numbers, integers, and natural numbers.
Answer: The answers are provided below
Step-by-step explanation:
15. 7c + 8d + 2c + 17d
= 7c + 2c + 8d + 17d
= 9c + 25d
16. 4(2m - 3p) + 12m + 7p
= 8m - 12p + 12m + 7p
= 8m + 12m -12p + 7p
= 20m - 5p
17. (15j +9z) - (12j + 6z)
= 15j - 12j + 9z + 6x
= 3j + 15z
18. 3y + 6.7x + y + 2.3x +10 - 7
= 6.7x + 2.3x + 3y + y + 10 - 7
= 9x + 4y + 3
19. 2b + (-6c) +5e - 11b + e+ 6c
= 2b - 11b - 6c + 6c + 5e + e
= -9b + 6e
Answer:
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