The given angles are known as alternate interior angles.
For line L and M to be parallel, the two given angles must be the same.
Set them to equal each other and solve for X.
7x - 7 = 4x +14
Add 7 to each side:
7x = 4x +21
Subtract 4x from each side"
3x = 21
Divide both sides by 3:
X = 21 / 3
X = 7
Answer:
y=40.5
Step-by-step explanation:
you need to get y out of a fraction, to do so multiply by the denominator on both sides
3(2/3y) = 3(27)
then divide to solve for y
2y = 81
y=40.5
Answer:
The points for the given to linear equations is (5 , - 2) and (5 , - 1)
The points is plotted on the graph shown .
Step-by-step explanation:
Given as :
The two linear equation are
y =
x - 1 ...........1
y =
x - 6 ...........2
Now, Solving both the linear equations
Put the value of y from eq 2 into eq 1
I.e
x - 6 =
x - 1
Or,
x +
x = 6 - 1
Or,
x = 5
or,
x = 5
∴ x = 5
Now, Put the value of x in eq 1
So, y =
x - 1
Or, y =
× 5 - 1
or, y =
- 1
Or, y = - 1 - 1
I.e y = -2
So, For x = 5 , y = - 2
Point is (
,
) = (5 , - 2)
Again , put the value of x in eq 2
So, y =
x - 6
Or, y =
× 5 - 6
Or, y =
- 6
Or, y = 4 - 6
I.e y = - 2
So, For x = 5 , y = - 2
Point is (
,
) = (5 , - 2)
Hence, The points for the given to linear equations is (5 , - 2) and (5 , - 2)
The points is plotted on the graph shown . Answer