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valina [46]
3 years ago
8

Calculate the length of the segment labeled x. Х 8 A- 12 20

Mathematics
2 answers:
Maslowich3 years ago
8 0
Answer:

x = 8.


Explanation:

The external secent line theorem says,
S1E1 = S2E2.

Secent s1 and s2.
External E1 and E2.

E2 = 12.
S2 = 32

S1 = 8 + x.
E1 = 8.

12*32 = 8(8+x).
384 = 8(8+x).
48 = 8+x
x = 40.
IgorLugansk [536]3 years ago
7 0

Answer:

x = 40

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

8(8 + x) = 12(12 + 20)

8(8 + x) = 12 × 32 = 384 ( divide both sides by 8 )

8 + x = 48 ( subtract 8 from both sides )

x = 40

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