Answer:
option D is true.
Step-by-step explanation:
Given the sequence
7, 12, 17, 22, ...
An arithmetic sequence has a constant difference 'd' and is defined by

Computing the differences of all the adjacent terms

The difference between all the adjacent terms is the same
so

as

Thus, the nth term of the arithmetic sequence will be:


Therefore, option D is true.
Answer: The answer is 16.
Step-by-step explanation:
The least common denominator means the same as least common multiple.
3, 6, 9, 12, 16
8, 16
2, 4, 6, 8, 10, 12, 14, 16
Any multiple of 4 would work.
I don't think you use a fraction. You multiply .6666 by 72 which equals 47.9952 or rounded 48. :)
Answer:
84 degrees
Step-by-step explanation:
Angle A = 83 degrees
Angle B = x degrees
Angle C = 135 degrees
Angle CDE = 122 degrees
We know that the four inner corners of a quadrilateral should add up to 360 degrees. Two supplementary angles will add up to 180 degrees. Adjacent angles on a straight line will always be supplementary. Knowing this, just solve for <ADC and add that amount to <A and <C. Then, subtract that sum from 360 degrees.
<ADC = 180-122 = 58
58+83+135 = 276
360-276 = 84 degrees