Answer:
Perpendicular
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes
-2/3 negated is
2/3
The reciprocal (flip the numerator and denominator) of 2/3 is
3/2
So, the lines are perpendicular
Hope this helps! :)
Answer:
d = 11 units if rounded to nearest whole number
Step-by-step explanation:
Distance formula:
d=√((x_2-x_1)²+(y_2-y_1)²)
Your ordered pairs (-1, 1) and (4, 11)
d=√((4-(-1))²+(11-1)²)
d=√((4+1))²+(10))²)
d=√((5)²+ 100)
d = √125
d = 11.18
d = 11 units if rounded to nearest whole number
Answer: x = 120 degrees
Step-by-step explanation:
The diagram is that of a polygon with 5 sides. This means that it is a Pentagon. The sum of the interior angles in a polygon is expressed as
180(n -2)
Where n represents the number of sides that the polygon has.
Since the given polygon has 5 sides, then the sum of the interior angles would be
180(5 - 2) = 180 × 3 = 540 degrees.
Therefore,
x + x + x + 90 + 90 = 540
3x + 180 = 540
3x = 540 - 180 = 360
x = 360/3 = 120 degrees
Step-by-step explanation:
add up both equations
2x -y + 3x + y -13 = 0 (y will eliminate -y)
5x -13 = 0
5x = 13
x = 13/5 now use this value to find y
2 × 13/5 -y - 4 = 0
26/5 - y -4 = 0
26/5 - 4 = y
6/5 = y