both angles would equal the same so you have:
6x-57 = 2x+15
add 57 to each side:
6x = 2x+72
subtract 2x from each side:
4x = 72
divide:
x = 72/4 = 18
now replace x with 18:
6(18) - 57 = 51
2(18) +15 = 51
51 +51 = 102
Angle QNR = 102 degrees
Answer:
The answers would be 9 and 1.
Step-by-step explanation:
x= 5±√16 can be separated into two equations.
x=5+√16 and x=5-√16
1. 5+√16 can be solved by simplify √16, which is 4. So then it would become 5+4 which equals 9.
2. 5-√16 can be solved by simplifying √16 which is 4. So then it would become 5-4 which equals 1.
So the values of x are 9 and 1.
Answer/Step-by-step explanation:
A. 
Using b = 2
Using b = 4
Using b = 6
Using b = 8
Using b = 10
Using b = 2
B. 
Using x = 3
Using x = 5
Using x = 7
Using x = 9
Using x = 11
Using x = 13
C. 
Using a = 2
Using a = 3
Using a = 4
Using a = 5
Using a = 6
Using a = 7
D. 
Using y = 2
Using y = 3
Using y = 5
Using y = 10
Using y = 8
Using y = 6
Question 1:
Conclusion: ∠DAY + ∠YAK = 180°
Justification: definition of linear pair
Question 2:
Conclusion: Point U is the midpoint of RN
Justification: RU=UN, definition of midpoint
Question 4:
Conclusion: ∠3 = ∠7
Justification: definition of alternate interior angles
Question 5:
Conclusion: ∠ABD = ∠DBC
Justification: definition of bisector
Question 6:
Conclusion: ∠2 and ∠3 are supplementary angles
Justification: definition of supplementary angles
Sorry question 3, don't know what it's trying to say
<h2>
Answer: 14</h2>
Step-by-step explanation:
If we factorize the numbers, we may be able to surmise the GCF:
28 = 2 × 2 × 7
42 = 2 × 3 × 7
56 = 2 × 2 × 2 × 7
∴ the GCF is 2 × 7 = 14
