Answer:
m < A = 60º
m < B = 30º
Step-by-step explanation:
The given sides on this triangle are: 6,  , and 12
, and 12
Any triangle with the angles of 30º - 60º - 90º always has side lengths in this proportion:
x,  , 2x
, 2x
We can line this up with the given sides. If x is 6, then 2x would be 12. 
x :  : 2x = 6 :
 : 2x = 6 :  : 12
 : 12
Angle B is across from 6, the shortest side. That also means that it corresponds to x, or the smallest angle in the proportion, 30º.
m < B = 30º
Solving for < A:
Method 1) Sum of Angles in a Triangle
Since we already know that one angle is right and therefore 90º and m < B is 30º, we can subtract these from the total sum of angle measures in a triangle to get the last angle, < A.
180º - 90º - 30º = 60º
m < A = 60º
Method 2) Using the second part of the proportion
Since m < A is across from the second largest side, we know that it is equal to  (
 ( in this question) or 60º in the angle proportion.
 in this question) or 60º in the angle proportion. 
This means that m < A = 60º
Let me know if you have any questions!
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
Given
The linear equation is 
The other linear equation parallel to the given line can be represented by 

Here, c can take any value . for example c=1, line becomes

 
        
             
        
        
        
Answer:
There are two points of intersection
(-4,1) and (1,-4)
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
A' (11, 4), B' (-10, -6), C' (7, -9)
Step-by-step explanation:
 Since you are reflecting over the y-axis, you take the opposite of the x value. So if the x is positive, make it negative. If the x is negative, make it positive. The y coordinate stays the same.
 
        
             
        
        
        
Answer:
Total number of members in month 34 is 1341 members.
Step-by-step explanation:
We have given,
Number of fans join a club in first month = 1044
And after the first month nine new members are allowed to join each month.
After first month , Let the number of club members in x months will be given as:
Number of members = 1044 + 9x
We need to find number of members in month 34.
So for first month we already had 1044 members, that mean for remaining 33 months we need to calculate members.
i.e total number of members in month 34 = 1044 + (33×9 )     , {Since x = 33 here}  
OR total number of members in month 34 = 1044 + 297  = 1341 members