The first one is 9/25 
The second one is 29.44
The last one is 8
        
                    
             
        
        
        
Answer:

General Formulas and Concepts:
<u>Calculus</u>
Integrals
- Definite Integrals
- Area under the curve
- Integration Constant C
Integration Rule [Reverse Power Rule]:                                                                    
Integration Rule [Fundamental Theorem of Calculus 1]:                                         
Integration Property [Multiplied Constant]:                                                              
Integration Property [Addition/Subtraction]:                                                           ![\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint%20%7B%5Bf%28x%29%20%5Cpm%20g%28x%29%5D%7D%20%5C%2C%20dx%20%3D%20%5Cint%20%7Bf%28x%29%7D%20%5C%2C%20dx%20%5Cpm%20%5Cint%20%7Bg%28x%29%7D%20%5C%2C%20dx) 
Area of a Region Formula:                                                                                       ![\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20A%20%3D%20%5Cint%5Climits%5Eb_a%20%7B%5Bf%28x%29%20-%20g%28x%29%5D%7D%20%5C%2C%20dx)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 6x + 19
Interval [12, 15]
<u>Step 2: Find Area</u>
- Substitute in variables [Area of a Region Formula]:                                        
- [Integral] Rewrite [Integration Property - Addition/Subtraction]:                    
- [Integrals] Rewrite [Integration Property - Multiplied Constant]:                    
- [Integrals] Integrate [Integration Rule - Reverse Power Rule]:                       
- Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:               
- Simplify:                                                                                                              
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
 
        
             
        
        
        
Is     16
of     100
x    16
32  100 
5.12
        
             
        
        
        
 I'm pretty sure your answer would be B but I would have to say to try and get another answer to back it up cause I am not 100% sure
        
                    
             
        
        
        
Step-by-step explanation:
<u>Statements and reasons</u>
- ML ║ JK                       >> Given
- ∠MLJ ≅ ∠KJL              >> Same side interior angles are congruent
- ∠LMK ≅ ∠JKM             >> Same side interior angles are congruent
- ΔMLN ~ ΔKJN              >> AA similarity postulate
- MN / NK = LN / NJ       >> Corresponding parts of similar triangles have same ratio