Answer:
Given: 
, 
, 
, 
formed by two intersecting segments.
In the given figure;
Linear pair states that a pair adjacent angle formed when two lines intersect.
Then by definition of linear pairs,
and forms a linear pair
Also, and forms a linear pair.
Linear pair postulates states that the two angle that forms a linear pair are supplementary(i,e add up to 180 degree).
Then by linear pair postulates;
and
Substitution property of equality states that if x =y then, x can be substituted in for y or vice -versa.
then by substitution property of equality:
Addition property of equality states that:
if x =y, then x + z = y+ z
By addition property of equality:
hence proved!
Answer:
7
Step-by-step explanation:
Let 'x' represent the number of tickets that Teresa sold, and x is integer and x>=0 (you can not sell negative number of tickets)
6 + 2x < 22
x < 8
The range of possible number of tickets that Teresa sold is {0, 1, 2, 3, 4, 5, 6, 7}.
Answer:
115/13
Step-by-step explanation:
Answer:
12n + 60
General Formulas and Concepts:
<u>Pre-Algebra</u>
Distributive Property
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
(n + 12) × 5 + 7n
<u>Step 2: Simplify</u>
- Distribute 5: 5(n) + 5(12) + 7n
- Multiply: 5n + 60 + 7n
- Combine like terms: 12n + 60
