200,000 is 20% of 1,000,000
        
                    
             
        
        
        
Answer:
The capacity of the mug =  cups
 cups
Step-by-step explanation:
Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water. 
To find - Find the capacity of the mug. Write the answer as a fraction or mixed number
Proof -
Let the capacity of water = x
Given that,
A mug is  full of water
 full of water
⇒Total cups of water in the mug = 
Now,
Given that, The mug contains  of a cup of water.
 of a cup of water. 
∴ we get
  =
 =   
 
⇒x =  × 8
 × 8
      =  
 
      =  =
 = 
⇒x = 
∴ we get
The capacity of the mug =  cups
 cups
 
        
             
        
        
        
Answer:
QR = 17 cm
Step-by-step explanation:
Δ RST is a 5- 12- 13 triangle with hypotenuse RT = 13 cm , then
TS = 5 cm and PT = 2 × 5 = 10 cm
So PS = 10 + 5 = 15 cm
PS is parallel to the vertical line from vertex Q and intersects the horizontal line projected from SR of length 20 - 12 = 8 cm
Using the right triangle formed calculate QR using Pythagoras' identity
QR² = 15² + 8² = 225 + 64 = 289 ( take square root of both sides )
QR =  = 17
 = 17