Consider the given parallelogram KLMN.
Prove: 
Statement Reason
1. 
Definition of parallelogram
2. 
Same Side interior angle theorem
3. 
Substitution property
4. 
Subtraction property of equality
Subtraction property of equality tells us that if we subtract some number from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.
5. 
Angle Congruence Postulate
When two angles are equal, then they are said to be congruent by Angle congruence postulate.
Answer:
21 years old
Step-by-step explanation:
Anna = 5
You = 6 + (5)3
Equation =
(5)3 + 6
15 + 6 = 21
You are 21
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Answer:
23 child tickets were sold
Step-by-step explanation:
Using the information given, we can set up an equation to solve for the number of child tickets sold. Since there were three times as many adult tickets as child tickets sold, we can assign the variable 'x' to represent the number of child tickets and '3x' to represent the number of adult tickets. Since we know the cost of each ticket, as well as the total sales, we can set up the following equation:
5.20x + 9.70(3x) = 788.90
Simplify 5.20x + 29.1x = 788.90
Combine like terms: 34.3x = 788.90
Divide both sides by 34.3: x = 23 child tickets
Answer:
X = 5 unit
Step-by-step explanation:
Given as , ABC is a Triangle ,
AC extended to through C to D
∠BAC = 6x + 10
∠ABC = 6x - 10
∠BCD = ∠ 8x + 20
When c extended to D then , ∠BCD is an external angle
∵ <u>External angle = Sum of opposite internal angles</u>
Or ,∠BCD = ∠BAC + ∠ABC
Or, ∠ 8x + 20 = 6x + 10 + 6x - 10
Or, ∠ 8x + 20 = 12x
Or, 12x - 8x = 20
∴ 4x = 20
So, x = 
= 5
Hence the value of X = 5 unit Answer
There are 21 people on each team. First you can divide 252 and 12. You get 21. To check you can then multiply 12 and 21 and get 252
