Answer:
45 inches
Step-by-step explanation:
Create a proportion where x is the perimeter of the smaller triangle:
= 
Cross multiply and solve for x:
5x = 225
x = 45
So, the perimeter of the smaller triangle is 45 inches
Answer:
The statements are incorrect as: The sum of even numbers from 1 to 100(i.e. 2550) is not double\twice of the sum of odd numbers from 1 to 100(i.e. 2500).
Step-by-step explanation:
We know that sum of an Arithmetic Progression(A.P.) is given by:
where 'n' denotes the "number" of digits whose sum is to be determined, 'a' denotes the first digit of the series and '' denote last digit of the series.
Now the sum of even numbers i.e. 2+4+6+8+....+100 is given by the use of sum of the arithmetic progression since the series is an A.P. with a common difference of 2.
image with explanation
Hence, sum of even numbers from 1 to 100 is 2550.
Also the series of odd numbers is an A.P. with a common difference of 2.
sum of odd numbers from 1 to 100 is given by: 1+3+5+....+99
.
Hence, the sum of all the odd numbers from 1 to 100 is 2500.
Clearly the sum of even numbers from 1 to 100(i.e. 2550) is not double of the sum of odd numbers from 1 to 100(i.e. 2500).
Hence the statement is incorrect.
Step-by-step explanation:
Let me explain like this .Suppose There are 40 people gathered somewhere for attending an event.Each Person has to be given 2 sweets for their arrival or for showing their presence in the event. Now 40 other woman joined them..Instead of getting two sweets each of them got one sweet.
Solution: 2 sweets × 40 people = 1 sweet × 80 people = 80
2nd Way:
There are 40 rooms in a building.In Each room we have to fix two bulbs. So How many bulbs are there in the building.
Solution →→→2 bulbs × 40 room = 80 bulbs
Diagram is depicted below for two parts.
Answer:
Option 1 is the correct fraction as a division problem