If AP and BP are tangent segments connected outside of the circle at point "P" then <span>AP = BP so,
10x - 15 = 7x + 3</span> 
3x = 18 
x = 6
        
             
        
        
        
Answer:
-2
Step-by-step explanation:
- 5x + 8 = 18
Take + 8 to the right hand side, it turns negative i.e -8
-5x         = 18 - 8
-5x         = 10
Divide both sides by the coefficient of x which is -5  
-5x/5          = 10/-5
x = -2
 
        
             
        
        
        
Answer:
Fill in the blank with 14
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Step-by-step explanation:
Given
The attached table 
Required
Fill in the gap
Since, the table represents a linear function.
The first step is to calculate the slope of the table

Where






The equation of the table is calculated next as:

This becomes


Solve for y


To fill in the blank;
The value of x is 4
So, substitute 4 for x in 



 
        
             
        
        
        
Answer:
 A' is (1,1) B is (4,1) C is (1,-1)
Step-by-step explanation:
Since we rotating the figure about point a, we know a is the center of the rotation meaning no matter how far we rotate point a new image will stay on where point a pre image was which in this case is (1,1). Also since we know the rules of rotating a angle 90 degrees About the origin we are going to translate the figure to have the one point we are rotating about at the orgin. Since translations are a rigid transformations, the figure will stay the same A. Move the figure 1 to the left and 1 down so A becomes 0,0 B becomes 0,3 and C becomes 2,0. Then apply the rules of 90 degree clockwise rotation rules. (x,y) goes to (y,-x) . A stays (0,0) B becomes (3,0) and C becomes (0,-2). Then translate the figure 1 to the right and 1 down since we rotating about point a which is 1,1 and it at 0,0 rn. A' is 1,1. B' becomes (4,1). C' becomes (1,-1).
 
        
             
        
        
        
The answer is -12 bc you take away the 3