Quadrilateral abde is a rectangle. ab = 10 cm and ae = 16 cm.
rectangle a b d e is shown. point c is the midpoint of side d b, point g is the midpoint of side b a, point f is the midpoint of side e a, and point h is the midpoint of side d e. side a e is 16 centimeters and side a b is 10 centimeters.
through which two points could a line of rotation be placed so that the base of the resulting cylinder will have a radius of 5 cm?
d and e
b and d
c and f
g and h

Option D.

Step-by-step explanation:

Given information: ABDE is a rectangle. AB = 10 cm and AE = 16 cm.

Opposite sides of a rectangle are equal.

Point C is the midpoint of side DB, It means DC=CB=8 cm.

Point G is the midpoint of side BA. It means BG=GA=5 cm.

Point F is the midpoint of side EA. It means EF=FA=8 cm.

Point H is the midpoint of side DE. It means DH=HE=5 cm.

We need to find the two points through which a line of rotation be placed so that the base of the resulting cylinder will have a radius of 5 cm.

From the below figure it is clear that if the rectangle is rotated about the line GH then it forms a cylinder with radius 5.

The required points are G and H.

Therefore, the correct option is D.

two data sets with the same median will not have the same varaibility

step-by-step explanation:

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.