Sarah1234567
Sarah1234567 Sarah1234567
  • 13-09-2020
  • Mathematics
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SD and SG are tangent to ⊙ K. Identify SG. HELP!!

SD and SG are tangent to K Identify SG HELP class=

Respuesta :

Hrishii
Hrishii Hrishii
  • 13-09-2020

Answer:

63

Step-by-step explanation:

Tangents drawn from external point to a circle are congruent.

Therefore,

SG = SD

8x - 9 = 5x + 18

8x - 5x = 9 + 18

3x = 27

[tex]x = \frac{27}{3} \\ x = 9 \\ SG = 8x - 9 \\ SG =8 \times 9 - 9\\ SG =72 - 9 \\ \huge \red{ \boxed{SG =63}}[/tex]

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