Answer:
x=10
Step-by-step explanation:
We can use the angle bisector theorem to solve this problem
8             12
-------- = ---------
x+4         2x+1
Using cross products
8(2x+1) = 12(x+4)
Distribute
16x+8 = 12x+48
Subtract 12x from each side
16x -12x +8 = 12x-12x +48
4x +8 = 48
Subtract 8 from each side
4x+8-8 = 48-8
4x = 40
4x/4 = 40/4
x=10
 
        
             
        
        
        
Answer: 24
Step-by-step explanation:
i did the problem and got it right
 
        
             
        
        
        
Answer:
D. 60
Step-by-step explanation:
Since the question stated that the number of marbles given out to his 6 friends were equal, we are certain that the total number of marbles is a factor or multiple of 6.
The only other assumption here is the number of marbles given has to be whole number. This means we just have to go through the answer choices and pick the one that is a multiple of 6.
A. 15 - This is wrong as 15 is not a multiple of 6.
B. 33 - This is wrong as 33 is not a multiple of 6.
C. 56 - This is wrong as 56 is not a multiple of 6.
D. 60 - This is CORRECT as 60 is a multiple of 6.
If Jorge gives each of his friends 10 marbles each, it would bring the total number of marbles to be 60.
 
        
                    
             
        
        
        
Answer:
8 units by 10 units
Step-by-step explanation:

 
        
             
        
        
        
Answer: 200 meters per minute
Explanation: we know that she can run 100 meters per 30 seconds. the question is asking in terms of minutes, however. we have to convert the seconds into minutes. How many minutes is 30 seconds? well, 60 seconds are in a minute so 30 seconds are in half a minute. 30 seconds = .5 minutes. 
Now, we have to find how many meters she runs per minute. this means how many meters she runs in one minute. we create a proportion:
100 meters/ .5 minutes = x meters / 1 minute
we cross multiply to get 100 = .5x
then, we simplify by dividing each side by .5 which equals
200=x