Answer:
Given: 
and 
.
Prove: 
Since , By the definition of perpendicular lines angles 1, 2, 3 and 4 are 90 degree. similarly , it means angles 5, 6, 7 and 8 are 90 degree.
We can say that,
, 
, 
and 
From figure it is noticed that the angle 1 and 5 are corresponding angles.
If two parallel lines are intersected by a transversal, then the corresponding angles are equal.
Since corresponding angles are congruent, therefore the line must be parallel to each other.
Hence proved that .
Answer:
The largest possible area of the deck is 87.11 m² with dimensions;
Width = 9.33 m
Breadth = 9.33 m
Step-by-step explanation:
The area of a given dimension increases as the dimension covers more equidistant dimension from the center, which gives the quadrilateral with largest dimension being that of a square
Given that the railings will be placed on three sides only and the third side will cornered or left open, such that the given length of railing can be shared into three rather than four to increase the area
The length of the given railing = 28 m
The sides of the formed square area by sharing the railing into three while the fourth side is left open are then equal to 28/3 each
The area of a square of side s = s²
The largest possible area of the deck = (28/3)² = 784/9 = 87.11 m² with dimensions;
Width = 28/3 m = 9.33 m
Breadth = 28/3 m = 9.33 m.
Answer:
B
Step-by-step explanation:
y=sec(x+pi/2)
Took the test on e2020
Answer:
a) 12x - 48 or 6(2x - 8)
b) 18x - 48 or 6(3x - 8)
Step-by-step explanation:
A small box holds 6 eggs
A large box holds 12 eggs.
Hina buys x small box of eggs
Hina also buys (x-4) large box of eggs
a) Total number of eggs in the large box by Hina = (x-4)12
= 12x - 48
= 6(2x - 8)
b) Total number of eggs bought by Hina = (x) 6 + (x-4)12
= 6x + 12x - 48
= 18x - 48
= 6(3x - 8)
