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Someone please help me

Someone please help me-example-1

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The correct answer is: [B]: " 9.6 cm " .
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Step-by-step explanation:
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Let "FH" = "x" ; for which we wish to solve.

45 cm / 12 cm = 36 cm / "x" (in "cm") ;

To solve for "x" ;

Cross--multiply:

Note: Given:

"
(a)/(b) = (c)/(d)
" ; " ad = bc " ; (b ≠ 0 ; d ≠ 0) ;


So: " 45x = 12 * 36 " ;

→ 45x = 432 ;

Divide each side of the equation by "45" ;
to isolate "x" on one side of the equation; & to solve for "x" ;

→ 45x / 45 = 432 / 45 ;

x = 9.6 cm ;
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→ which corresponds with:
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Answer choice: [B]: " 9.6 cm " .
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Hope this answer — and explanation — helps!
Best wishes in your academic pursuits!
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User CommonMan
by
8.1k points

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