Answer: x=(7√6)/2
Step-by-step explanation:
To find x, we would have to find the hypotenuse of the 45-45-90 triangle. First, we would have to find the hypotenuse by using the 30-60-90 triangle on top to find it.
For a 30-60-90 triangle, the hypotenuse is 2x in length. the x is the same in all sides. All you would have to do is to plug it in. The leg opposite of 60° is x√3 in length. the leg opposite of 30° is x in length. 
Since we know that 7 is opposite of the 30° angle, we know that x is 7. Across fron 60° is the hypotenuse of the 45-45-90 triangle. That leg is x√3. We plug in x=7 and get 7√3. 
The hypotenuse of the 45-45-90 triangle is x√2 and the legs are both x. We can set 7√3 equal to x√2 to find x of the missing side.
7√3=x√2            [divide both sides by √2]
x=(7√6)/2
Now, we know x=(7√6)/2.
 
        
             
        
        
        
Answer:
The procedure results in a binomial distribution
Step-by-step explanation:
If all 120 couples used the YSORT method, it is fair to assume that the probability of a baby being a boy or a girl are constant through all trials (120 couples). Assuming 120 randomly selected couples, there is a fixed number of independent trials. Finally, since the babies can only be a boy or a girl, the binary condition is satisfied and thus, the distribution is binomial
 
        
             
        
        
        
Answer:
Area= 64pi or 201.06
Circumference: 16pi or 50.265
Step-by-step explanation: 
Area= \pi r^{2} 
pi (8)^2 = 64pi or 201.06
Circumference= 2pir , 2(pi)8 = 16pi or 50.2
 
        
             
        
        
        
Answer:
Triangle ABC is similar but not congruent to Triangle XYZ
Step-by-step explanation:
When you dilate the size changes but the angles are the same with makes them similar and since the size of the triangles are different they cannot be congruent.