Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Find the length of x. Assume that lines which appear to be tangent to the circle are tangent
A) 36
B) 42
C) 48
D) 54

Find The Length Of X Assume That Lines Which Appear To Be Tangent To The Circle Are Tangent A 36 B 42 C 48 D 54 class=

Sagot :

jcherry99

Answer:

C

Step-by-step explanation:

Remark

The formula that relates tangents and secants using the information given is

The distance from the external point to the point of tangencyo^2 = The external point of secant to the circumfrance of the circle * the other intersect point of the secant.  

The algebra is much simpler.

y^2 = 27 ( 27 + x)

Givens

y = 45

27 is the distance from the external point to the circle

27 + x is the entire length of the secant.

Solution

45^2  = 27(27 + x)               Remove the brackets

2025 = 729 + 27x               Subtract 729 from both sides

2025 - 729 = 27x

1296 = 27x                           Divide by 27

1286/27 = x

x = 48

We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.