Answer:
a. They are same side interior angles. Angle A measures 55°. 
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
 Colin's mean score = 17.10
The new mean is 18.00
Step-by-step explanation:
Given scores: 31, 10, 26, 16, 28, 31, 9, 11, 8, 1 
number of terms: 10
mean is calculated by given formula = sum of all the data set/ number of terms in the data set.
mean for the 10 scores = (31+ 10+ 26+ 16+ 28+ 31+ 9+ 11+ 8+ 1 )/10
                                        = 171/10 = 17.1
 Colin's mean score = 17.10
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runs scored by Colin in 11th match = 27
number of terms: 11
new mean = new sum /number of terms
new mean = (old sum score + 27)/11 = (171+27)/11
new mean = 198/11 = 18
The new mean is 18.00
 
        
             
        
        
        
To convert the angle in radian measure to degree measure, multiply it by 180/π.
The given angle in radian measure is 257π/360 . Multiply it by 180/π to get the angle in degrees.
So,
The angle in degrees = 257π/360  x 180/π = 257/2 = 128.5 degrees
        
             
        
        
        
Answer: 6
Step-by-step explanation:
From the question, we are informed that a group of friends wants to go to the amusement park and that they have $94.25 to spend on parking and admission.
We are further told that Parking is $14.75, and tickets cost $13.25 per person, including tax. The equation that can be used to solve the number of people who can go to the amusement park would be:
= 14.75 + 13.25p
Since they've $94.25 to spend, the number of people that can go to the amusement park will be:
14.75 + 13.25p = 94.25
13.25p = 94.25 - 14.75
13.25p = 79.50
p = 79.50 / 13.25
p = 6
6 people can go to the amusement park