Find the value of X or A in each figure.With sol.4.8.. Created by glory4u. Math

✒️POWER THEOREMSFind the value of x or a in each figure.#4: Chord-Chord Power Theorem: The value of a is 20/3#8: Secant-Secant Power Theorem: The value of x is 4(ノ^_^)ノ

Find the value of X or A in each figure.With sol.4.8....

KAntoineDoix

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✒️POWER THEOREMS

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$\large\underline{\mathbb{DIRECTIONS}:}$

Find the value of x or a in each figure.

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$\large\underline{\mathbb{ANSWERS}:}$

$\qquad \Large 4. \: \rm{a = \frac{\,20\,}{3} }$

$\qquad \Large 8. \: \rm{x = 4 }$

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$\large\underline{\mathbb{SOLUTIONS}:}$

#4: Chord-Chord Power Theorem:

$(DO)(OC) = (AO)(OB)$

$(a)(12) = (8)(10)$

$12a = 80$

$\frac{\,12a\,}{12} = \frac{\,80\,}{12} \\$

$a = \frac{\,20\,}{3} \\$

$\therefore$ The value of a is 20/3

$\:$

#8: Secant-Secant Power Theorem:

$(PC)(PA) = (PB)(PD)$

$\small (PC)(PC + CA) = (PB)(PB + BD)$

$(10)(10 + 2x) = (9)(9 + 2x + 3)$

$(10)(10 + 2x) = (9)(12 + 2x)$

$100 + 20x = 108 + 18x$

$20x - 18x = 108 - 100$

$2x = 8$

$\frac{\,2x\,}{2} = \frac{\,8\,}{2} \\$

$x = 4$

$\therefore$ The value of x is 4

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(ノ^_^)ノ

xXxCalexxXx

$\huge \red{\underline{\rm{Answer:}}}$

$\red{⊱┈──────────────────────┈⊰}$

$\: \: \: \:$ $\large \green { \rm{4.) \: \frac{20}{3} }}$

$\: \: \: \:$ $\large \green { \rm{8.) \: 4 }}$

$\red{⊱┈──────────────────────┈⊰}$

Solution:

4.) 20/3

$\rm{(DO)(OC) = (AO)(OB)}$
$\rm{(a)(12) = (8)(10)}$
$\rm{12a = 80}$
$\rm{ \frac{12a}{12} = \frac{80}{12} }$
$\green{\boxed{\rm{a = \frac{20}{3}}}}$

$\implies$ The answer Of A Is 20/3.

8.) 4

$\rm{(PC)(PC + CA) = (PB)(PB + BD)}$
$\rm{(10)(10 + 2x) = (9)(9 + 2x + 3)}$
$\rm{(10)(10 + 2x) = (9)(12 + 2x)}$
$\rm{100 + 20x = 108 + 18x}$
$\rm{20x - 18x = 108 - 100}$
$\rm{2x = 8}$
$\green{\boxed{\rm{x = 4}}}$

$\implies$ The answer of X is 4.

$\red{⊱┈──────────────────────┈⊰}$

$\small \color{red}{\boxed{\rm{Answered \ By: {\underline{xXxCelixxXx}} }}}$

$\small \red{\rm{ \#Carry \ On \ Learning!}}$

shy1797 @xXxCalexxXx pwede po pahelp math subj png po 1 to 2lng po thank you

MayumeLovesModules hi po, Good mor ning po, pa spa. m po please 7 answers lang, ty in advance

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✒️POWER THEOREMS

Solution:

4.) 20/3

8.) 4

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