Step-by-step explanation:
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Answer:
1.5 or -5
Step-by-step explanation:
2x²+7x-15=0
Divide by 2:
x²+7x/2-15/2=0
x=-7/2/2 ± √49/4(4)+15/2
=-7/4 ± √49/16+120/16
=-7/4± √169/16=-7/4 ±13/4
=6/4 or -20/4
=1.5 or -5
Hello!
We are told that n and m are parallel.
The angle that measures 105 degrees is supplementary with the alternate interior angle of the angle which measures (3x - 18) degrees. Supplementary angles add to equal 180 degrees, so we can make an equation by first finding the measure of the alternate interior angle.
180 - 105 = 75
The alternate interior angle measures 75 degrees, so we can set that equal to 3x - 18 to solve for x since alternate interior angles are congruent.
75 = 3x - 18
93 = 3x
31 = x
Answer:
x = 31
