SOLUTION: in each diagram, line ZY is tangent to circles O and P. Find the value of x circle O has a radius 12 circle P has a radius 9 the distance of line ZY is 25

You can put this solution on YOUR website!
You do not define x, but we presume it is the distance between centers of the circles.
.
a rough sketch helps
.
remember that tan to circles make perpendicular angles to radius at intersection
.
if we use the base as line ZY, we see that it is almost a rectangle,
.
if we take the rectangle out, we are left with a right triangle, sides 25 , and (12-9=3),
.
with hypotenuse "x",,,,,,we use pythagorous to solve
.
x^2 = 3^3 + 25^2,,,,, x= 25.18