Answer:

Step-by-step explanation:
The mid point can be found with the formula

The given coordinates are 
 and 
.
Replacing coordinates in the formula, we have

Therefore, the mid point of the segment PQ is 
 
        
             
        
        
        
Answer:
x= 6.5 cm
Step-by-step explanation:
When a tangent line touches the circle, it forms a right angle triangle at that point
Apply the Pythagorean relationship in this case
Given that the height is = 20.2 cm = b
The hypotenuse is = c= x+14.7 cm
General formulae is;
a² +b² =c²
x² + 20.2² =( x+ 14.7)²
x² + 408.04= x² +14.7x+14.7x+216.09
x² + 408.04= x² + 29.4 x +216.09.........................collect like terms
x²-x² + 408.04-216.09= 29.4x
191.95= 29.4x-------------------------------divide by 29.4 t0 get x
191.95/29.4 =x
x=6.5 cm
 
        
             
        
        
        
Answer: 
Step-by-step explanation:
We know that the total number of outcomes for fair dice {1,2,3,4,5,6} = 6
Given : Favorable outcome = 5
i.e. Number of favorable outcomes =1
We know that the formula to find the probability for each event is given by :-

Then, the probability that the six  faces cube will land with the number 5 face up will be :_

Hence, the required probability = 
 
        
             
        
        
        
D. 62 because if we separate the shape into two then one will be 5*4 and the other will be 7*6. Adding them up will equal the whole shape.
 
        
             
        
        
        
Answer: 
568
Explanation:
First you need to make an equation. You need to find the change, in this case it’s 1.25. After, you find that, you make your equation. A(n)=16(1.25)^n-1. 
I hope this was helpful