Answer:
36/x=6
Step-by-step explanation:
 
        
                    
             
        
        
        
Both are correct, since 4/6 is simplified to 2/3.
        
             
        
        
        
Answer:
32°
Step-by-step explanation:
Given: 
∠DMQ = 58º
In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°
Therefore, ∠MDQ = 90°
The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:
180 = ∠DMQ + ∠MDQ + ∠DQM
Solving for ∠DQM, we have:
∠DQM = 180 - ∠DMQ - ∠MDQ
∠DQM = 180 - 90 - 58
∠DQM = 32°
The measure of ∠DQM is 32°
 
        
             
        
        
        
Answer:
Value of x =20
Step-by-step explanation:
Given: EF = 9x+14 units , FG = 56 units and EG = 250 units.
Segment Addition Postulates states the following for 3 points that are collinear. 
i.e, Let three points A, B and C are collinear and B is between A and C.
i,e AC = AB + BC
By Segment addition postulates; solve for x;
EG = EF + FG 
Substitute the given values we get;
250 = 9x + 14 + 56
or
250 = 9x + 70
Subtract 70 on both sides we get;
250 -70 = 9x + 70 -70
Simplify:
180 = 9x
Divide both sides by 9 we get;

Simplify:
x = 20
Therefore, the value of x =20