Answer: x =104
Step-by-step explanation:
If we draw the black line shown in the figure, two isosceles triangles are formed, and the base angles of the isosceles triangles are the same. The red angles are the same and the green ones too. The 104 degree angle is the sum of the red angle and the green angle, and x is also the sum of the red angle and the green angle, therefore x = 104.
Answer:
To make f continuous at 
, 
should be defined 
Step-by-step explanation:
A function, let say 
, is defined at 
is continuous at
If the limit of as 
approaches 
is equal to the value of at .
Mathematically it is written as:
if
then
is continuous at .
So from the above definition, we conclude that:
To make f continuous at , should be defined
i.e.
if
then
is continuous at 
.
Answer:
The total amount paid by Jill = $ (3 d)
Step-by-step explanation:
Here, the cost of 1 book = $ d
Now, the number of books purchased by Jill = 3
So, the total cost of 3 books = 3 x ( Cost of 1 book)
= 3 x ($d) = 3 d
So, if Jill purchased 3 books, the total amount paid by her = $ (3 d)
This is a question of proportionality. However, it is not direct proportionality as it is expected that as the number of tractors increases, the work is finished faster as opposed to fewer number of tractors. This is referred to as inverse proportionality.
Therefore;
6 tractors ----- 10 days
18 tractors --- x days
Then,
x = (6*10)/18 = 10/3 days = 3 days, and 8 hours.
This means that 18 tractors will take 3 days and 8 hours to collect the same harvest.
