Answer:
Step-by-step explanation:
 
        
                    
             
        
        
        
This is an example of empirical probability, although it gives the same ratio as a theoretical probability, because we based the result on our experiment
        
             
        
        
        
Answer: 56 degrees
Step by step:
The three angles in a triangle add up to 180 degrees.
49 + 75 + the third angle = 180
Let’s simplify.
180 - 49 - 75 = the third angle
So, by subtracting, we know that the third angle is 56 degrees!
Hope this helps! Please tell me if I did anything wrong, thank you so much and have a good day!
        
             
        
        
        
Answer: 2584
Step-by-step explanation:
We can find N with 2584 and 4181.
4181 - 2584 
= 1597
We can also check our answer by adding 1597 and 987
1597 + 987
= 2584
 
        
             
        
        
        
<h3>Answer:</h3>
Yes, ΔPʹQʹRʹ is a reflection of ΔPQR over the x-axis
<h3>Explanation:</h3>
The problem statement tells you the transformation is ...
... (x, y) → (x, -y)
Consider the two points (0, 1) and (0, -1). These points are chosen for your consideration because their y-coordinates have opposite signs—just like the points of the transformation above. They are equidistant from the x-axis, one above, and one below. Each is a <em>reflection</em> of the other across the x-axis.
Along with translation and rotation, <em>reflection</em> is a transformation that <em>does not change any distance or angle measures</em>. (That is why these transformations are all called "rigid" transformations: the size and shape of the transformed object do not change.)
An object that has the same length and angle measures before and after transformation <em>is congruent</em> to its transformed self.
So, ... ∆P'Q'R' is a reflection of ∆PQR over the x-axis, and is congruent to ∆PQR.