Tell whether the lines through the given points are parallel, perpendicular, or neither. (-3,1), (1,9), (-2-9), (-1,-7)
1 answer:
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The angles that form similarity are those that are vertically opposite and 2 pairs that are equal because the for a Z formation.
Since <LPM = <ONM then
Cross multiply
12*(5x - 10) = 16*(4x - 9) Remove the brackets on both sides.
60x - 120 = 64x - 144 Subtract 60x from both sides.
- 120 = 64x - 60x - 144
-120 = 4x - 144 Add 144 to both sides.
-120 + 144 = 4x
24 = 4x Divide by 4
24/4 = x
x = 6
Solution (1)
for k=0 / for k=1 / for k=-1
x=0 / x=2π / x=-2π
acc / acc / rej
solution (2)
for k=0 / for k=1 / for k=-1
x=0 / x=2π/3 / x=-2π/3
acc / acc / rej
Note that i'm trying values of K which make the answer belong to our interval;
So our solution which i will represent as a set is;
S € {0,2π/3,2π}