Question

I included a picture of what I need help on.

Answer 1

Answer:

x = 4

Step-by-step explanation:

In similar triangles, the ratios of the length of the corresponding sides are equal.

$\frac{CD}{ED}=\frac{GD}{FD}$

$\frac{48}{5x-2}=\frac{40}{2x+7}$

Cross multiply,

48*(2x + 7) = 40*(5x - 2) {use distributive property: a*(b+c)=(a*b)+ (a*c)}

48*2x  + 48*7 = 40*5x - 40*2

  96x  + 336   = 200x - 80       {Subtract 96x from both sides}

             336   = 200x - 96x - 80

               336 =  104x - 80 {Add 80 to both sides}

      336 + 80 = 104x

               416 = 104x      {divide both sides by 104}

        416/104 = x

x = 4