7n85svh6xf 7n85svh6xf
  • 11-06-2021
  • Mathematics
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What is the measure of x?

What is the measure of x class=

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 13-06-2021

Answer:

x=4

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+5) *x = 6^2

x^2 +5x = 36

Subtract 36 from each side

x^2 +5x - 36 = 0

Factor

( x-4) (x+9) = 0

Using the zero product property

x-4 = 0  x+9 =0

x = 4  x=-9

Cannot be negative since that is negative length

x=4

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