First, write the equation of the line containing the points <span>(2,-5) and (-3,2).
We can use 2 point form, or point-slope form.
Let's use </span>point-slope form.
the slope m is

, then use any of the points to write the equation. (ex, pick (2, -5))
y-(-5)=(-7/5)(x-2)
y+5=(-7/5)x+14/5
y= (-7/5)x+14/5 - 5 =(-7/5)x+14/5 - 25/5 =(-7/5)x-11/5
Thus, the lines are
i) y=-ax+4 and ii) y=(-7/5)x-11/5
the slopes are the coefficients of x: -a and (-7/5),
the product of the slopes of 2 perpendicular lines is -1,
so
(-a)(-7/5)=-1
7/5a=-1
a=-1/(7/5)=-5/7
Answer: -5/7
ANSWER:
A and B aren't parallel lines, as the alternate angles aren't equivalent to each other.
For m angle 1 -
Vertically opposite angles are equivalent to each other.
m angle 1 is vertically opposite m angle 4.
Therefore:
m angle 4 = 100
m angle 1 = m angle 4
m angle 1 = 100
For m angle 6 -
Co-interior angles add up to 180°.
m angle 4 and m angle 6 are co-interior angles.
Therefore:
m angle 4 = 100
m angle 4 + m angle 6 = 180
100 + m angle 6 = 180
m angle 6 = 180 - 100
m angle 6 = 80
For m angle 7 -
Vertically opposite angles are equivalent to each other.
m angle 6 is vertically opposite m angle 7.
Therefore:
m angle 6 = 80
m angle 7 = m angle 6
m angle 7 = 80
For m angle 8 -
Corresponding angles are equivalent to each other.
m angle 8 and m angle 4 are corresponding angles.
Therefore:
m angle 4 = 100
m angle 8 = m angle 4
m angle 8 = 100
Hence, the angles are as follows:
m angle 1 = 100
m angle 6 = 80
m angle 7 = 80
m angle 8 = 100
Hope this helps! <3
The first one is the answer/
Answer:
17x+4
Step-by-step explanation:
4(5x+1)-3x
20x+4-3x
17x+4