A parallelogram has two pairs of opposite equal angles.
ABCD so
A = C and B = D
A = 2x + 35
C = 3x - 5
2x + 35 = 3x - 5
35 + 5 = 3x - 2x
40 = x
A = (2 x 40) + 35 = 115
A = C = 115
Sum of angles of a quadrilateral = 360
Angles B and D are equal
So
B = (360 - (115 + 115))/ 2
= 130/2
= 65
B = D = 65
In general, there is no reason to believe they are parallel.
If the figure is described as a square, rectangle, rhombus, parallelogram, trapezoid, or any other quadrilateral with parallel sides, then they probably are. (Except AB and CD may be parallel in the trapezoid, so the answer there is "maybe.")
Answer: y= -3x -4
Step-by-step explanation: the lines are perpendicular, so
the slope of line b is the negative reciprocal of the slope of line a. So -3x
From the graph you see that the y-intercept is -4
In slope intercept form the equation is y= -3x -4