Find the value of x that makes AFGH~AJKL.
(Lesson 11.3) (1 point)
X+3.5
20

 The answer is:  " x = 2.833333333333...." .

___________________________

             or:  write as:  " 2 " .  

___________________________

Step-by-step explanation:

___________________________

Set up a ratio:

Note:  Segment FH =  (x + 35)

         Segment JL = 20 ;

         Segment FH ~ Segment JL ;

___________________________

Note:  Segment GH = (x - 4) ;

         Segment  KL  =  5 ;

         Segment GH ~ Segment KL .

___________________________

So, ( x + 3.5) : 20 :: (x-4) : 5 ;

Write this ratio in fraction format:

___________________________

→    ;

Now; "cross-factor multiply" :

→    ;  → ; { .}.

___________________________

So:

  5(x + 3.5)  =  20(x - 4) ;  

___________________________

→ To simplify, start by divide each side of the equation by "5" ;

___________________________

  →   {5(x + 3.5) } / 5  =  { 20(x - 4)  } / 5 ;

to get:

      →  (x + 3.5)  =  4(x - 4) ;

___________________________

Now, on the right-hand side of the equation;

  let us expand the expression;

___________________________

We have the expression:  " 4(x - 4) " ;

 To expand:

Note the "distributive property of multiplication:

     →   a(b + c)  = ab + ac ;

Likewise:

     →   4(x - 4)  = 4x  - 16 ;

___________________________

Now, we can rewrite our equation:

___________________________

     →   " x + 3.5  =  4x - 15 "  ;

Now, we can subtract "x" from each side of the question;

     & add "15" to each side of the equation; as folllows:

___________________________

     →     x + 3.5  =  4x - 15 ;

          - x + 15   =  - x  +15

___________________________

to get:        8.5  =  3x ;  

                   ↔  3x  = 8.5 ;

Now, divide each side of the equation by "3" ;

       to isolate "x" on one side of the equation;

       & to solve for "x" ;  as follows:

                     →  3x / 3 = 8.5 / 3 ;

             to get:   x  = 8.5 /3  

                              = 2.83333333333 ;  

                         or; write as:  " 2 ."

___________________________

Hope this is helpful to you!  Best wishes!

___________________________

drive more conversions to your website

conversions are the outcome of your efforts. when a visitor sign up for any newspaper, or fill any form to order a specific product or when your page is shared on social media, all such attempts mean conversions of a website. whenever your desired action is fulfilled, the conversion rate of your website will increase. this increase in your conversion rate will prove that your website is   going well. it also confirms that the quality of your website’s marketing was really good.drive more conversion to your website       drive more conversions to your website

step-by-step explanation:

step-by-step explanation: