Let the radius of the circle be r. Then the line from the external point through the center of the circle which extends to the far point on the circle has length 3r .By the tangent - secant theorem
t^2 = 3r * r = 3r^2 ( where t is the length of the tangent).
So t = √(3r^2) = √3r answer.
Answer with Step-by-step explanation:
Let us assume the 2 consecutive natural numbers are 'n' and 'n+1'
Thus the product of the 2 numbers is given by

We know that the sum of 'n' consecutive natural numbers starting from 1 is

Thus from equation 'i' we can write

As we know that any number multiplied by 2 is even thus we conclude that the product of 2 consecutive numbers is even.
The perimeter of the square patio is the sum of its side lengths
The length of the patio is: 8x + 2
The given parameters are:


The perimeter of a square is:

So, we have:

Divide both sides by 4

Hence, the length of the patio is: 8x + 2
Read more about perimeters at:
brainly.com/question/6465134
You only need two numbers to do that.
The numbers are 16 and -3 .
16 - 3 = 13
(16) x (-3) = -48