Answer:
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Applying the alternate interior angles theorem, the value of x is: D. 8.
<h3>What is the Alternate Interior Angles Theorem?</h3>
The alternate interior angles theorem states that interior angles that are alternate to each other along a transversal have equal measurement.
∠4 and ∠6 are alternate interior angles, therefore:
m∠4 = m∠6
Substitute
4x - 2 = 2x + 14
4x - 2x = 2 + 14
2x = 16
x = 16/2
x = 8 (option D).
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Answer:
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To change it into slope intercept (y=mx+b) you just replace the inequality with an equality and isolate y
x<=2:
x=2=y-> y=2 or y=2+0x
2x-3y>=4:
2x-3y=4
2x-4=3y
(2/3)x-(4/3))=y
y=(2/3)x-(4/3)
x+y>0:
x+y=0
y=-x or y=-x+0
The lines are reciprocal because they cross to form an X. Also 4/5 is the reciprocal of 5/4