Answer:
x = 17
Step-by-step explanation:
5x + 29 + 2x + 32 = 180    (linear pair means that these angles add up to 180 cos they are in a line)
7x = 119
x = 17
 
        
             
        
        
        
Answer:
Step-by-step explanation:
2(6x² - 3) = 11x² - x
2*6x² - 2*3 = 11x² - x
12x² - 6 = 11x² -x 
Subtract 11x² from both sides
12x² - 11x² - 6 = -x
 x² - 6 = -x
x² + x - 6= 0 
Sum =1
Product = -6
Factors =  3 , (-2)              { 3*(-2)  = -6   & 3 +(-2) = 1}
x² + 3x - 2x - 6 = 0
x(x + 3) - 2(x + 3)= 0
(x +3)(x - 2) = 0
 
        
             
        
        
        
Divide both sides by l. Hope this helps! :D
        
                    
             
        
        
        
Answer:
Carlos graphed the perpendicular bisector of AB.
Step-by-step explanation:
Given a line segment AB drawn in a coordinate plane. The set of points that are the same distance from points A and B divides the line segment AB into two equal parts.
This line is referred to as the perpendicular bisector of AB.
Therefore, Carlos graphed the perpendicular bisector of AB.
 
        
             
        
        
        
Answer:
15.5
Step-by-step explanation:
So the formula here is the square of the tangent length is equal to the product of the exterior part of the secant line and total length of the secant.
So that means we have x^2=10(14+10).
After simplifying the right hand side we have the equation is x^2=10(24) or x^2=240.
To get rid of the square on the x, we square root both sides.
x=sqrt(240)
x=15.49193338
To the nearest tenths, the answer is x=15.5
So 15.5 inches is the length of x.