Advertisements
Advertisements
प्रश्न
The expression for the number of diagonals that we can make from one vertex of a n sided polygon is ______.
पर्याय
2n + 1
n – 2
5n + 2
n – 3
उत्तर
The expression for the number of diagonals that we can make from one vertex of a n sided polygon is n – 3.
Explanation:
Since, the vertex is formed by joining two sides. A diagonal is a line segment joining the two opposite vertex. So, the number of diagonals formed by one vertex = n – 3.
APPEARS IN
संबंधित प्रश्न
Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.
If the number of digits formed is taken to be n, the number of segments required to form n digits is given by the algebraic expression appearing on the right of each pattern.
How many segments are required to form 5, 10, 100 digits of the kind −
Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.
If the number of digits formed is taken to be n, the number of segments required to form n digits is given by the algebraic expression appearing on the right of each pattern.
How many segments are required to form 5, 10, 100 digits of the kind −
Write down the following in the product form: x2y4
Write down the following in the product form: 9xy2z
Write down the following in the product form: 10a3b3c3
Find a number which when multiplied by 5 is increased by 80.
The sum of three consecutive natural numbers is 114. Find the numbers.
If a number is tripled and the result is increased by 5, we get 50. Find the number.
The sum of three consecutive odd numbers is 21. Find the numbers.
A man is 4 times as old as his son. After 16 years he will be only twice as old as his son. Find their present ages.
The two digit number whose ten’s digit is ‘t’ and units’s digit is ‘u’ is ______.
The additive inverse of an integer x is 2x.
If x is a negative integer, – x is a positive integer.
A wire is (7x – 3) metres long. A length of (3x – 4) metres is cut for use. Now, answer the following questions:
- How much wire is left?
- If this left out wire is used for making an equilateral triangle. What is the length of each side of the triangle so formed?
The sum of first n natural numbers is given by `1/2n^2 + 1/2n`. Find the sum of first 11 natural numbers.
The sum of first n natural numbers is given by `1/2n^2 + 1/2n`. Find the sum of natural numbers from 11 to 30.
The sum of the multiplication table of natural number ‘n’ is given by 55 × n. Find the sum of table of 7.
If 
= 2x + 3, 
= `3/2x + 7` and 
= x – 3 then find the value of:
2
+ 
– 
