After an increase of 25% a security guard at a gas station got a new weekly pay check of $800 what was his original pay per week before the increase

The original salary of the guard was  $640 per week before the increase.

Step-by-step explanation:

Let the original salary of the guard  = $ m

Now, increase in the salary = 25%

or, increase in the salary = 25% of m

25%  of m =  

So, the Increased salary = Original Salary + Increment

= $ m + $ 0.25 m    

= $(1.25) m

Also, the increased salary =  $ 800

⇒  $(1.25) m   = $ 800

or, 1.25 m  = 800  ⇒ m= 800/1.25

or, m = 640

Hence, the original salary of the guard = m = $640

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: