Question

is a common external tangent to circles W and Y. What is the distance between the two centers of the circles? Round to the nearest hundredth. (Hint: Draw segment connecting the centers of the two circles, and then draw a segment, , so that YS + SZ = YZ and .)

Answer 1

Answer:

$WY=42.8\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle WYS

Applying the Pythagoras Theorem

$WY^{2}=WS^{2}+YS^{2}$

we have that

$WS=XZ=42\ units$

$YS=YZ-WX=19-11=8\ units$

substitute

$WY^{2}=42^{2}+8^{2}$

$WY^{2}=1,828$

$WY=42.8\ units$