Question

I'm not sure if you can exactly give me the answers, but I need help solving these types of questions, I will attach them below. they are about tangent lines.

Answer 1

Question 1

Step-by-step explanation

To solve these types of questions, we will use the Tangent radius theorem

Tangent to a Circle Theorem

The tangent theorem states that a line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency.

The figure below helps give a pictorial view

The principle to be used here for question 1 will be

`x^2+8^2=17^2`

Simplifying further

`\begin{gathered} x^2+64=289 \\ x^2=289-64 \\ x^2=225 \\ x=√(225) \\ x=15 \end{gathered}`

Thus, the value of x is 15 units