Given:
The equation of a line is:
A line is parallel to the given line and passes through the point (3,-4).
To find:
The equation of the line in the slope intercept form.
Solution:
The slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept of the line.
We have,
...(ii)
On comparing (i) and (ii), we get
Slope of the given line is 1.
We know that the slopes of parallel lines are equal. So, the slope of the required line is 1.
The required line passes through the point (3,-4) with slope 1. So, the equation of the required line is:
Subtracting 4 from both sides, we get
Therefore, the equation of the required line is .
Answer:
Angle 4 = 135, angle 5 = 45
Step-by-step explanation:
Consecutive interior angles are supplementary, therefore angle 5 + angle 8 = 180 degrees. Since the complement of 5 is the supplement of 4, we can write the system of equations.
180 - x = 90 - y or -x + y - 90 - 180 or -x + y = -90 or x - y = 90
x + y = 180
x - y = 90
Where angle 4 is x and angle 5 is y.
y = 180 - x
x - (180 - x) = 90
x - 180 + x =90
x + x = 270
2x = 270
x = 135
By plugging that in to an equation we can solve for y.
y = 45
Answer:
x = 19
Step-by-step explanation:
Vertical angles are equal
So
7x - 8 = 6x + 11
7x - 6x = 11 + 8
x = 19
Answer:
50=2(10+w)
Step-by-step explanation:
We know that perimeter is equal to the sides of a shape
A rectangle has two of the same length and two of the same width
P=2l+2w
We know the perimeter and length so plug that in and solve for w
50=2(10)+2w
50=2(10+w) - That matches answer choice D
30=2w
w=15
