Question

I’m confused on this one

Answer 1

X=7 because when a radius and a tangent meet they form an isosceles triangle

Answer 2

You can use the pythagorean theorem on this problem because it is specified that the two lines are perpendicular. So, $x^2+7^2=(x+5)^2$

Then, continue to solve for x: $x^2+49=x^2+10x+25$

$x^2=x^2+10x-24$

$0=10x-24$

$24=10x\\x=12/5$

So the radius is 12/5, or 2.4 units