Answer:
1. It is a straight line drawn with a straightedge and cuts across the lines.
2. Both drawn with the same compass width.
3. Corresponding parts of congruent triangles are congruent.
Step-by-step explanation:
This construction works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles. It uses this in reverse - by creating two equal corresponding angles, it can create the parallel lines.
This is how to construct a line parallel to a given line that passes through a given point with compass and straightedge or ruler. It is called the 'angle copy method' because it works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles. It uses this in reverse - by creating two equal corresponding angles, it can create the parallel lines.
By the external angle theorem
5x = (5x - 30) + m < RST
m < RST = 5x - 5x + 30 = 30
also m < STR = m < SRT = 5x - 30
So as there are 180 degrees in a triangle:-
5x - 30 + 5x - 30 + 30 = 180
10x = 180 +30+30-30 = 210
x = 21 answer
The answer is two thousand (2000)
It is 900,000 it is in the hundreds thousandths place.
Answer:
The length of the sloping section of the ramp is 20.12 m
Step-by-step explanation:
Given;
the total height of the bank, h = 2.8 m
The slope of the ramp must be 8° to the horizontal, i.e, θ = 8°
Let the length of the sloping section = L
let the horizontal distance between the height of the bank and sloping section = b
Thus, h, L and b forms three sides of a right angled-triangle, with L as the hypotenuse side, h (height of the triangle) as the opposite side and b (base of the triangle) as the adjacent side.
We determine L by applying the following formula;
Sinθ = opposite / hypotenuse
Sin θ = h / L
L = h / Sin θ
L = 2.8 / Sin 8
L = 2.8 / 0.13917
L = 20.12 m
Therefore, the length of the sloping section of the ramp is 20.12 m
