Answer:
109 degrees.
Step-by-step explanation:
m< AEB = 1/2 (98 + 120)
= 1/2 * 218
= 109 degrees.
 
        
             
        
        
        
Answer:
Michael travels a total of 756 miles each year.
Step-by-step explanation:
If you want the total number of miles he travels(to and from the house combined), just multiply 84 by 9.
84 x 9 = 756
 
        
                    
             
        
        
        
Answer:

Step-by-step explanation:
step 1
Alex’s printer
we know that
print 8 photos in 12 minutes
so
by proportion
Find  how long will it take the printer to print 120 photos

step 2
Khalil’s printer
we know that
print 24 photos in 1 hour (60 minutes)
so
by proportion
Find  how long will it take the printer to print 120 photos

step 3
Find the difference

 
        
             
        
        
        
Answer:
x = 97
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to solve for the missing side length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 72
Leg <em>b</em> = 65
Hypotenuse <em>c</em> = <em>x</em>
<em />
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute [PT]:                    72² + 65² = x²
- Exponents:                           5184 + 4225 = x²
- Add:                                      9409 = x²
- Isolate <em>x</em>:                               97 = x
- Rewrite:                                x = 97