alextinajero03
alextinajero03 alextinajero03
  • 10-03-2021
  • Mathematics
contestada

What must the radius of C be for PR to be tangent to it at Q?

What must the radius of C be for PR to be tangent to it at Q class=

Respuesta :

Hrishii
Hrishii Hrishii
  • 10-03-2021

Answer:

D. 8

Step-by-step explanation:

Draw segment CQ which will be perpendicular to tangent PR.

So, triangle CQR will be right angled triangle right angle at Q.

Let radius of the circle be r.

Therefore,

CQ = CS = r

By Pythagoras Theorem:

[tex] {(r + 9)}^{2} = {r}^{2} + {15}^{2} \\ \\ {r}^{2} + 18r + 81 = {r}^{2} + 225 \\ \\ 18r = 225 - 81 \\ \\ 18r = 144 \\ \\ r = \frac{144}{18} \\ \\ r = 8[/tex]

Answer Link

Otras preguntas

Discuss external factors that impact negativly on your life choices namely, unsafe road use
What actions can help prevent foodborne illness in the home kitchen quizlet?
Give each answer as mixed number in simplest form
What factor(s) influenced more cultural sensitivity in government schools for native americans?
What conditions make ΔG always positive? (Answer choices in screenshot)
Jason tossed a fair coin 3 times. what is the probability of getting a head and two tails in any order?
How can you contribute to the development of the community?
What is the acceleration due to gravity of an object with a mass of 10000 g?
How did the great compromise satisfied both the large states and the small states?.
The diagram below represents a process that occurs during human reproduction. What is the result of this process (found on right side of the arrow)? Answer: COR