Answer:
Measure angle B = 65 degrees    AB = 34        AC = 30
Step-by-step explanation:
Triangle Sum Theorem: 180 - 90 - 25 = 90 + 25 + 65 = 180
Tangent 25 = 16/x
AB = 34
Pythagorean Theorem Equation:
![b =[]\sqrt{34^{2} - 16^{2}}= \sqrt{900}= 30](https://tex.z-dn.net/?f=b%20%3D%5B%5D%5Csqrt%7B34%5E%7B2%7D%20-%2016%5E%7B2%7D%7D%3D%20%5Csqrt%7B900%7D%3D%2030)
AC = 30
 
        
             
        
        
        
Answer:
1.  A = 59
2.  A = 43
Step-by-step explanation:
If we have a right triangle  we can use sin, cos and tan.
sin = opp/ hypotenuse
cos= adjacent/ hypotenuse
 tan = opposite/ adjacent
For the first problem, we know the opposite and adjacent sides to angle A
tan A = opposite/ adjacent
tan A = 8.8 / 5.2
Take the inverse of each side 
tan ^-1 tan A = tan ^-1 (8.8/5.2)
A = 59.42077313
To the nearest degree
A = 59 degrees
For the second problem, we know the  adjacent side and the hypotenuse to angle A
cos A = adjacent/hypotenuse
cos A = 15.3/21
Take the inverse of each side 
cos ^-1 cos A = cos ^-1 (15.3/21)
A = 43.23323481
To the nearest degree
A = 43 degrees
 
        
             
        
        
        
The probability that a player will be asked a math question and then a music question is 0.03125
<h3>How to determine the probability?</h3>
The size of the sections are given as:
Music = 0.5
Sport = 0.5
Others = 1
So, the total size is:
Total = 0.5 + 0.5 + 1 + 1 + 1
Evaluate
Total = 4
The probability of asking a math question is:
P(Math) = 1/4 = 0.25
The probability of asking a music question is:
P(Music) = 0.5/4 = 0.125
The required probability is:
P(Math and Music) = P(Math) * P(Music)
This gives
P(Math and Music) = 0.25 * 0.125
Evaluate
P(Math and Music) = 0.03125
Hence, the probability that a player will be asked a math question and then a music question is 0.03125
Read more about probability at:
brainly.com/question/25870256
#SPJ1
 
        
             
        
        
        
Answer:
I don't see a polygon anywhere...