Question

help please, thank you. explaining how you got the answer will give you brainliest.

Page 132 #4

x = ___ units

Round your answer to the nearest tenth.

Answer 1

Answer:

18.0

Step-by-step explanation:

$In\: \odot P,$ TS is tangent to the circle at point S and PS is radius.

$\therefore PS \perp TS$

(tangent radius theorem)

$\therefore m\angle PST = 90\degree$

Since, side opposite to 90° angle is called hypotenuse.

So, x represents the length of hypotenuse of $\triangle WYZ$

Thus, by Pythagoras Theorem

$x = \sqrt{ {15}^{2} + {10}^{2} } \\ \\ = \sqrt{225 + 100} \\ \\ = \sqrt{325} \\ \\ = 18.0277564\\\\ = 18.0$