Step-by-step explanation:
upper left angle and lower right are the same in a parallelogram (the other two angles match as well, but aren't useful)
so we can write this equation:
3x -15 = 2x +24
1x -15 = 24
x = 39
always do the same thing on both sides of an equation (here: subtract 2x, then add 15)
now you might give it a try yourself with the next problem that got two same things in it.
always grow stronger :)
Parallel lines, slope is the same so
1) 3x+8y = 12
8y = -3x + 12
y = -3/8(x) + 3/2, slope = -3/8
slope of a line that is parallel = -3/8
2)5x+4y = 5
4y = -5x + 5
y = -5/4(x) + 5/4; slope is -5/4
slope of a line that is parallel = -5/4
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perpendicular, slope is opposite and reciprocal
3)
3x+8y = 11
8y = -3x + 11
y = -3/8(x) + 11/8. slope = -3/8
slope of perpendicular line = 8/3
4)
x = -7, slope is undefined
so slope of perpendicular line is 0
5)
3x+2y = 12
2y = -3x + 12
y = -3/2(x) + 6 ; slope = -3/2
5x - 6y = 8
6y = 4x - 8
y = 2/3(x) - 4/3; slope is 2/3
slope is opposite and reciprocal, so the equals are perpendicular
6)
3x + y = 5
y = -3x + 5; slope = -3
6x + 2y = -15
2y = -6x - 15
y = -3x - 7.5; slope = -3
both have slope = -3 so equations are parallel
Answer:
-1/2 or -0.5
negative half
Step-by-step explanation:
slope of regular line= (y1-y2) / (x1-x2)
(27-3) / (4 - -8)
24 / (4+8)
24 / 12 = 2
the slope of a perpendicular line is the negative reciprocal
the negative reciprocal of positive 2/1 (2 as a fraction) is:
negative half: -1/2 or -0.5
