Answer:
x = 20
Step-by-step explanation:
The marked angles are vertical angles and congruent, thus
6x - 10 = 3x + 50 ( subtract 3x from both sides )
3x - 10 = 50 ( add 10 to both sides )
3x = 60 ( divide both sides by 3 )
x = 20
Answer:

Step-by-step explanation:
Standard form:

Vertex form:

(h, k) is the vertex
x is the coordinate of the vertex
To find x use the formula:


a=1
b=-2
c=-6
Substitute:

Substitute x in equation:

h=1
k=-7
Substitute h, and k into the vertex formula:

Answer:
The Answer is: 63°
Step-by-step explanation:
The angle 117° is the key information. Across the line, the angle 117° is part of the 180° across the line. Angle RMN is equal to 180° - 117° = 63°