Question

I NEED HELPP!!

Find the value of x, rounded to the nearest tenth.
A. 4.4
B. 3.7
C. 8.9
D. 4.2

Answer 1

8.9

Explanation:

Answer 2

In this question we have to use the formula that relates the lengths of secant and tangent .

And according to the theorem, the square of tangent is equal to the product of length of the part of secant that is outside the circle and total length .

And according to the formula, we will get

`x^2 = 4(4+16)`

`x^2 = 4*20`

`x^2 = 80`

Taking square root to both sides

`x = √(80) = 4 \sqrt 5 = 8.9 .`

So for the given diagram, and with the given values, the value of x is 8.9