MasterGeniusAshleyidn
Answered

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find the length of the unknown segment(x)​

Find The Length Of The Unknown Segmentx class=

Sagot :

KAntoineDoixidn

✒️POWER THEOREM

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[tex] \large\underline{\mathbb{ANSWER}:} [/tex]

[tex] \qquad \Large \:\:\rm{17) \: x = 4 \: units} [/tex]

[tex] \qquad \Large \:\:\rm{18) \: x = 15 \: units} [/tex]

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[tex] \large\underline{\mathbb{SOLUTION}:} [/tex]

#17: Solve using the Tangent-Secant Power Theorem.

  • [tex] 10^2 = (25)(x) [/tex]

  • [tex] 100 = 25x [/tex]

  • [tex] \frac{\,100\,}{25} = \frac{\,25x\,}{25} \\ [/tex]

  • [tex] 4 = x [/tex]

[tex] \therefore [/tex] The length of segment x is 4 units.

[tex] \: [/tex]

#18: Solve using the Tangent-Secant Power Theorem.

  • [tex] x^2 = (9 + 16)(9) [/tex]

  • [tex] x^2 = (25)(9) [/tex]

  • [tex] x^2 = 225 [/tex]

  • [tex] \sqrt{x^2} = \sqrt{225} [/tex]

  • [tex] x = 15 [/tex]

[tex] \therefore [/tex] The length of segment x is 15 units.

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