Question

Someone please help me

Answer 1

The correct answer is:  [B]:  " 9.6 cm " . 
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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:   

" $\frac{a}{b} = \frac{c}{d}$ " ;  " 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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