Answer:
c = 53 miles
Step-by-step explanation:
a^2 + b^2 = c^2
45^2 + 28^2 = c^2
2,025 + 784 = c^2
2809 = c^2
c  = 53
 
        
             
        
        
        
Answer:
Jack is 8
Step-by-step explanation:
j= jacks age
2j+5 =21
This is the equation from Twice jacks age plus five is 21
We want to isolate j
Subtract 5 from each side
2j+5 =21
2j+5-5 = 21-5
2j = 16
Divide by 2
2j/2 =16/2
j =8
 
        
                    
             
        
        
        
Answer:
Rotation was used to transform the figure.
Step-by-step explanation:
Since only one transformation was used, rotating the pre-image ABC 180° counterclockwise around the origin formed the image DEF.
I hope this helped! :-)
 
        
             
        
        
        
Answer:
The largest number is 13
Step-by-step explanation:
Here, we want to find the largest number which divides 60 and 75 to leave remainders 8 and 10 respectively 
What this means is that we are looking for numbers such that when we divide 60 by it, we get remainder 8 and when we divide 75 by it, we get remainder 10
For 60;
The number is 13 for 60
This is because, since we are looking at leaving remainder 8, that means the actual figure we are looking at is 60-8 = 52
13 is actually the biggest factor of 52 in this case 
For 75;
we are looking at remainder 10; take this away from 75, that will be 75-10 = 65
Also the factor here is 13 because 13 * 5 = 65 and we are 10 units away from 75 
 
        
             
        
        
        
We just need to solve for y when x = -2
Solution:
y = 2|-2 + 1|
y = 2|-1|
y = 2(1)
y = 2
Therefore, the answer is Option 3
Best of Luck!