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
The amount that will be expected to be paid for the bonds that are bought will be C. $3,318.33
<h3>How to calculate the amount of bonds?</h3>
From the information given, the bonds from the city of tavel gorge worth $1,000 each are selling at 110.611 and Sean wishes to purchase three such bonds.
Therefore, the amount for the bonds will be:
= 1110.611 × 3
= 3,318.33
In conclusion, the correct option is C.
Learn more about bonds on:
brainly.com/question/2775110
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The values are x = 8 and x = -1.
To find the undefined values, we need to know when the denominator is zero.
To do this, we need to factor it and find the value that would make either factor equal to zero.
If factors to: (x - 8)(x + 1)
Therefore, the undefined values would be at 8 and -1.
To find the volume of a cylinder, the equation used is V = 3.14r^2h
r = 4, and h = 3, so we input both numbers to get V = 3.14*4^2*3
V = 3.14*4^2*3 = 3.14*16*3 = 3.14*48=150.72
V = 150.7 ft^3
