Question

HELp I really don’t know how to solve this even if someone could look at it that would be awesome

Answer 1

ANSWER

$x=25$

EXPLANATION

We want to find the value of x from the figure.

The line that touches the circle from outside the circle is called a tangent. When a tangent touches the radius of a circle, it makes a right angle with the radius.

This means that the triangle in the figure is a right-angled triangle:

Now, we can solve for x using the Pythagoras theorem:

$\text{hyp}^2=a^2+b^2$

where hyp = hypotenuse of the triangle

a, b = legs of the triangle

This means that:

$\begin{gathered} x^2=15^2+20^2 \\ x^2=225+400=625 \\ x=\sqrt[]{625} \\ x=25 \end{gathered}$

That is the value of x.