Answer:
a)The slope of A"D" is 3
The slope of B"C" is 3
b) The line segments A"D" and B"C" are congruent and parallel.
Step-by-step explanation:
The pre-image of the parallelogram, has slope of AD equal −3 and the slope of BC equal −3.
Since translation and reflection are rigid transformations, the preimage and the image are congruent.
This means that the lengths of the corresponding sides are equal.
Hence AD=A"D'' and B"C"=BC
However, since the image after a reflection in the y-axis is laterally inverted, the slope of A"D" will be negative of the slope of AD.
Similarly, the slope of B"C" will be negative of the slope of BC.
The slope of A"D" is 3
The slope of B"C" is 3
Since the two line segments have the same slope, they are parallel.
Answer:
Step-by-step explanation:
The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
Where
h represents the height of the cone
r represents the radius of the cone
π is a constant whose value is 3.14
From the information given
Radius = 5 centimeters
Height = 15 centimeters
Therefore,
Volume of cone = 1/3 × 3.14 × 5² × 15 = 392.5 cubic centimeters
Answer:
Step-by-step explanation:
Let length be x
So breadth will be 1/4x
2(x+1/4x)=60
x+1/4x=60/2=30
find lcm and the lcm would be 4 and make denominators equal and add it
4/4x+1/4x=30
5/4x=30
x=30*4/50=6*4=24
Therefore the length is 24/4=6cm and breadth is 24cm.
i think it 30 but I could be wrong
