Answer:
 = 130°
 = 130°
Step-by-step explanation:
Angles subtended at the center by the arcs  and
 and  are ∠HPG and  ∠EPF.
 are ∠HPG and  ∠EPF.
Since these angles are the vertical angles both will be equal.
m∠HPG ≅ m∠EPF
3x - 10 = 2x + 10
3x - 2x = 10 + 10
x = 20
Therefore,  
 
                                = 50°
Similarly  = 50°
 = 50°
In the same way angles subtended at the center will be equal.
m∠EPH ≅ m∠FPG
and 
Since  °
°



Therefore, measure of arc EH = 130°
 
        
             
        
        
        
Answer: Probability that the proportion of students who graduated is greater than 0.743 is P = 0.4755
 
Step-by-step explanation:
Given that,
Probability of freshmen entering public high schools in 2006 graduated with their class in 2010, p = 0.74
Random sample of freshman, n = 81
Utilizing central limit theorem,

So,

= P( Z > 0.0616)
= 0.4755 ⇒ probability that the proportion of students who graduated is greater than 0.743.
 
        
             
        
        
        
The nearest tenth would be 10.1
        
                    
             
        
        
        
16x2=32
21x2=42
32+42=54
the perimeter is 54
        
             
        
        
        
Yes, you need to make the denominators the same. 2/3 becomes 8/12. So now you add 7/12 and 8/12, getting 15/12. But you're not done you need to simplify 15/12. The answer is 1 1/4.