Answer:
Step-by-step explanation:
by idetity : (a - b)²= a² +b² -2ab
for : (x² - 5)² you have  a = x²  and b = 5
(x² - 5)²= (x²)²+5² - 2(5)(x²)
(x² - 5)²= x^4+25 -10x²
 
        
             
        
        
        
Answer:
The Proof with Figure, Statement and Reasons is given below.
Step-by-step explanation:
Given:
∠DAF ≅ ∠EBF,
DF ≅  FE
Prove:
Δ ADF ≅ Δ BFE
Proof:
        Statements                                 Reasons
a. ∠DAF ≅ ∠EBF       ...........................Given
<u>48. ∠DFA ≅ ∠EFB  </u>..........................Vertical Angles are congruent
DF ≅  FE                  ..........................<u>.49. Given</u>
50.<u> Δ ADF ≅ Δ BFE </u>.......................<u>..By Angle-Angle-Side test</u>
 
        
             
        
        
        
Answer: true 
Step-by-step explanation: f(x) is a function because each x value (left oval) has one y value (right oval)!
 
        
             
        
        
        
3/12 = 1/4 
If simplified then second option
        
                    
             
        
        
        
The probability of choosing a number that is not a multiple of 2 is P = 0.44
<h3 /><h3>How to find the probability?</h3>
We need to count the number of options for each digit.
- For the first digit, we have 8 options {1, 2, 3, 4, 5, 6, 7, 8}
- For the second digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}
- For the third digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}.
The total number of combinations is the product between the numbers of options:
C = 8*9*9 = 648
If we want our number to not be a multiple of 2 then it must end in a odd digit, the combinations that meet that condition are:
- For the first digit, we have 8 options {1, 2, 3, 4, 5, 6, 7, 8}
- For the second digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}
- For the third digit, we have 4 options {1, 3,  5, 7}.
C = 8*9*4 = 288
Then the probability of selecting a 3 digit number that is not a multiple of 2 is:
P = 288/648 = 0.44
If you want to learn more about probability, you can read:
brainly.com/question/251701