∠ADC = 112°
∠ADC =6x + 7 + 12x - 3
Equate both:
6x + 7 + 12x - 3 = 112
Solve for x :
6x + 7 + 12x - 3 = 112
Combine like terms:
18x + 4= 112
Take away 4 from both sides:
18x = 108
Divide both sides by 18:
x = 6
Find ∠ADB:
6x + 7 = 6(6) + 7 = 43
Answer: ∠ADB = 43°
        
                    
             
        
        
        
Answer:
Use compatible numbers that are close to the actual numbers
Choose 36 for 35 3/4 and 6 for 5 7/8 because the divide evenly. 
Step-by-step explanation:
Compatible numbers are numbers that are close to the actual values of a particular number. They make estimating easier when yo udo the different operations. 
We choose 36 for 35 3/4 because 36 is closer to its value that 34. Conveniently, 5 7/8 is closer to 6 than 5, and they divide evenly. So a best estimate for the number of rows Holly can make would be:
36/6 = 6 rows. 
 
        
             
        
        
        
Answer:
A
Step-by-step explanation:
The segment BC  joining the midpoints of 2 sides of the triangle is
Half the length of the third side, that is
x + 31 = 2(x + 19)
x + 31 = 2x + 38 ( subtract x from both sides )
31 = x + 38 ( subtract 38 from both sides )
- 7 = x → A
 
        
                    
             
        
        
        
Answer:
18.95%
Step-by-step explanation:
In this case what we must do is calculate the probability of eating a jelly treats first and then another jelly treats, being the final probability the multiplication of these events.
We know that there are 20 in total and that initially there are 9 jelly treats, so the first event is the probability:
9/20  
And the second event, with one less in each, would be:
8/19
The final probability then:
9/20 * 8/19 = 0.1895
So the probability of this happening is 18.95%
 
        
                    
             
        
        
        
Answer:
$12.68
Step-by-step explanation:
Multiply the price of one pound by the amount of pounds you're buying,
8.45 x 1.5
= 12.675
Round up
= 12.68