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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 :

Jcherry99idn

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

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