Answer:
Step-by-step explanation:
Answer:
x= 116°
y= 127°
Step-by-step explanation:
x... The angle subtended at the centre is twice the angle subtended at the cicumfernce by the same arch
y.... Angle in a cyclic quadrilateral add up to 180°
hence 180-53=127
Most of the square numbers are even.so if we need to find root over we need an even number to convert it to perfect square.
See the example below
Some other triplets are
- (6,8,10)
- (5,12,13)
- (8,15,17)
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:
600 m³
Step-by-step explanation:
The shape we have is a rectangular pyramid:
Formula:<u><em> (volume of a rectangular pyramid)</em></u>
Volume = (1/3) × Base Area × height
___________________________
In our case :
Base area = L × W = 20 × 18 = 360 m²
height = 5 m
⇒ Volume = (1/3) × Base Area × height