Answer:
See Below. 
Step-by-step explanation:
Statements:                                              Reasons: 
 Given
                                              Given
 Isosceles Triangle Theorem
                                        Isosceles Triangle Theorem
 Angle Addition
                  Angle Addition
 Given
                               Given
 Definition of Bisector
                           Definition of Bisector
 Substitution
                               Substitution
 Angle Addition
              Angle Addition
 Given
                              Given
 Definition of Bisector
                          Definition of Bisector
 Substitution
                            Substitution
 Substitution
                    Substitution
 Division Property of Equality
                        Division Property of Equality
 Reflexive Property
                                         Reflexive Property
 Angle-Side-Angle Congruence*
                             Angle-Side-Angle Congruence*
 CPCTC
                                         CPCTC
*For clarification: 
∠Y = ∠Z
YZ = YZ (or ZY)
∠PZY = ∠QYZ
So, Angle-Side-Angle Congruence: 
ΔYZP is congruent to ΔZYQ
 
        
                    
             
        
        
        
Answer:
r = 10 cm
Step-by-step explanation:
r² = 8² + 6²
r² = 64 + 36 = 100
r = 10 cm
 
        
                    
             
        
        
        
Answer:
6%
Step-by-step explanation:
We have to calculate the interest rate in the note, we must follow the following steps, calculate the amount of time remaining from the year 2021, as follows:
interest is for 5 months i.e. from Aug 01 to Dec 31 for year 2021
, so it means it would be 5/12 months.
We have to calculate the interest as follows:
I = P * R * T
We replace:
200 = 8000 * R * 5/12
we solve for R
200 * 12/5 = 8000 * R
R * 8000 = 480
R = 480/8000
R = 0.06
Which means that the interest rate on the note is 6%
 
        
             
        
        
        
Step-by-step explanation:
We are dealing with theoretical probability. This means that our probability of said outcome is

where x is the outcome we want, and y is the total number of outcomes possible. 
28. There is 3 triangles out of 6 polygons so the probability is 1/2.
29.There is 1 Pentagon so the probability is 1/6.
30. This is a complement to question 28. A complement is the inverse of the problem. A complement and its original add to 1 so the probability of both getting a triangle is 1/2. 
31. There is 4 non quadraletrial so the probability is 2/3.
32. There is 3 figures that has more sides than three so 1/2 is the probability.
33.There is only multi right angles figures so 1/2 is the probability.
34. There is 30 days in April so the probability it's the 29th is

35. There is 31 days in July and 15 days after the 16th. So the probability
is
