102
the angles are alternate so they add up to 180
180-78=102
hope this helps :)
if you need me to explain more just let me know :)
Answer:
f⁻¹(x) = x - 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Functions
- Function Notation
- Inverse Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = x + 3
<u>Step 2: Find</u>
- Swap: x = y + 3
- [Subtraction Property of Equality] Isolate <em>y</em>: x - 3 = y
- Rewrite: f⁻¹(x) = x - 3
Perimeter of a rectangle = 2L + 2W
Perimeter = 39
W = 8.5
we plug those into the perimeter equation and get
2L + 2(8.5) = 39
simplify
2L + 17 = 39
subtract 17 from both sides
2L = 22
divide both sides by 2
L = 11
therefore the length of the sheet of paper is 11 in.