Answer:
59˚
Step-by-step explanation:
The sum of all the angles in a triangle is always 180 so:
38 + 83 + x = 180
121 + x = 180
x = 59
Answer:
The angles are vertical angles and they are congruent
Step-by-step explanation:
Answer:
Step-by-step explanation:
Use the coordinates of the given points to find the slope.
difference in y-coordinates = -3 - 6 = -9
difference in x-coordinates = 2 - (-1) = 3
slope = -9/3 = -3
Answer:
The line u and line v have no point of intersection because they are parallel lines
Step-by-step explanation:
The slope of a straight line is given as follows;

The slope of line u is (4 - (-8))/(5 - 9) = -3
The equation for line u is y - 4 = -3*(x - 5)
y = -3·x + 15 + 4 = 19 - 3·x
The slope for line v is (-7 - 2)/(7 - 4) = -3
The equation for the line v is y - 2 = -3*(x - 4)
∴ y = -3x + 12 + 2 = -3x + 14
y = 14 - 3·x
Therefore. line u and line v have the same slope and are therefore parallel and they do not intersect
Answer:
B. -6
Step-by-step explanation:
-6 + 10 =4