See the attached picture to better understand the problem
we know that
in rectangle ABCD 
AB=CD
and 
AD=BC
therefore
the triangle ACD and triangle ABC are congruent
so
BD=AC
BD=8 units
the answer part a) isBD= 8 unitsPart b) Find angle CBD
we know that
∠ABD+∠CBD=90°---------> by complementary angles
so
∠CBD=90-∠ABD-----> 90-67----> 23°
∠CBD=23°
the answer Part b) is∠CBD=23 degrees
 
        
                    
             
        
        
        
To find the slope of the line, simply remember the basic equation for the slope intercept. 
Y = mx +/- b 
Where m = slope or rise/run
b = y intercept. 
In this case the slope is a negative value and is -5/2.
        
             
        
        
        
Answer: 9/7
Step-by-step explanation:
 
        
             
        
        
        
Since the odd numbers are:
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25
There are 13 odd numbers. From here you would multiply 25 times four to get 100 since there is 25 numbers. Then you would multiply 13, the number of odd numbers, by 4 as well and get 52. There is a 52% chance that a odd number will be picked.
        
                    
             
        
        
        
Answer:
15.5 ft²
Step-by-step explanation:
The area (A)  of a regular polygon is calculated as
A = 
 pa ( p is the perimeter and a the apothem )
Here side of regular pentagon is 3 ft, thus
perimeter = 5 × 3 = 15, so
A = 0.5 × 15 × 2.06 ≈ 15.5 ft ( to the nearest tenth )