Answer:
angle DGC and angle CGB are adjacent angles
 
        
             
        
        
        
Answer:
The probability that it isn't orange is 5/6 
Step-by-step explanation:
There are twelve crayons and two are orange so there is ten that aren't orange. Probability being 10/12. We can now simplify to 5/6. There you go easy as.
Many regards, Abdelmumen Nakoa.
 
        
             
        
        
        
Answer:
1.   
   
Step-by-step explanation:
We can see that CD is angle bisector, So we will use angle bisector theorem which states that the angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.
 We can set up an equation as:   

Upon substituting our given values we will get,
 
 
Cross multiplying our equation we will get,





 
 
Therefore, the length of AD is  units and 1st option is the correct choice.
 units and 1st option is the correct choice.
 
        
             
        
        
        
6x-12y=24
x=-6y-4
6(-6y-4)-12y=24
-36y-24-12y=24
-48y=48
y=-1
6x-12(-1)=24
6x+12=24
6x=12
x=2
6(2)-12(-1)=24
12+12=24
 24=24 true
and
-(2)-6(-1)=4
-2+ 6=4
4=4 true
        
             
        
        
        
She made her mistake at the first step. To simplify a radical, you would find two numbers that multiply by each other to get your original number (under the radical) 
and have one of the number be a perfect square.
Her reasoning is wrong because 10*10 is not 

. Had she been correct, her answer should have been able to be squared to equal 

In other words, she should have done 

(We used 25 because 25 is a perfect square, 5*5=25).
:)