What is the length of line segment PQ? 4 units 5 units 6 units 9 units
2 answers:
Answer: The correct option is second. The length of line segment PQ is 5 units.
Explanation:
From the given figure it is noticed that the MN is the tangent to the circle at point M and its length is 6.
The line PQ is the secant line with length x and QN is external secant segment with length 4 .
According to the tangent secant theorem the square of tangent is equal to the product of external secant with the sum of the of secant and external secant.
Therefore, the length of line segment PQ is 5 units.
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Given the sequence:
6, 10, 14, 18,...
We will find the 75th term
The given sequence is an arithmetic sequence
Because there is a constant common differnce
d = 18 - 14 = 14 - 10 = 10 - 6 = 4
The first term = a = 6
The general formula of the arithmetic sequence is as follows:
Where: n is the nth term
To find the 75th term, substitute with n = 75 and a = 6, d = 4
So, the answer will be the 75th term = 302