Question

I included a picture of what I need help on.

Answer 1

x = 4

Explanation:

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

`(CD)/(ED)=(GD)/(FD)\\\\`

`(48)/(5x-2)=(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