Respuesta :

aliciaburks3

Answer:

28/21 = 3x - 7/x+11

x = 13

Step-by-step explanation:

abidemiokin

The value of x from the given diagram is 13. Option A is correct.

Similarity theorem:

From the given similar triangles;

  • 28/3x-11 = x+11/21

Cross multiply

28(21) = (3x-11)(x+11)

(3x-11)(x+11) = 588

Expand

3x^2 + 33x - 11x - 121 = 588

3x^2+22x- 709 =0

On factorizing, the value of x is 13

Learn more on similar triangles here: https://brainly.com/question/2644832