Answer:
B dependent, 36/15625
Step-by-step explanation:
Option B:
<u>Solution:</u>
<u>Slope of the perpendicular lines:</u>
If two lines are perpendicular then their slopes are negative reciprocals of each other.
<u>Slope of the parallel lines:</u>
If two lines are parallel then they have the same slope.
i.e their slopes are equal.
Given line m and p are parallel.
Slope of the line m =
Using slope of the parallel lines definition,
Slope of the line p = slope of the line m
Slope of the line p =
Option B is the correct aswer.
Hence the slope of the of line p is .
Triangles add to 180.
180 - 57 - 43 = 80.
Vertical angles are always equal, so they are both 80 degrees in this case.
Now we know the top triangle has 80 + 2x = 180
2x = 100
Therefore x is 50 degrees.
Answer:
X=0
Step-by-step explanation:
Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.
3(x+1)+x=2(x−3)+93(x+1)+x=2(x-3)+9
Simplify the left side.
4x+3=2(x−3)+94x+3=2(x-3)+9
Simplify 2(x−3)+92(x-3)+9.
4x+3=2x+34x+3=2x+3
Move all terms containing xx to the left side of the equation.
2x+3=32x+3=3
Move all terms not containing xx to the right side of the equation.
2x=02x=0
Divide each term by 22 and simplify.
x=0