Respuesta :

abidemiokin

the equation that verifies that the value of x in the diagram is equal to 10 is 7 = 1/2(4 + x). Option A is correct

The given diagram is a quadrilateral. Using the mid-segment theorem of shapes;

7 = 1/2(4 + x)

Cross mulltiply

7 * 2 = 4 + x

14  = 4  + x

Subtract 4 from both sides:

14 - 4 = 4 + x - 4

14 - 4 = x

x = 10

Hence the equation that verifies that the value of x in the diagram is equal to 10 is 7 = 1/2(4 + x)

Learn more on mid-segment theorem here: https://brainly.com/question/7423948

According to BPT theorem

  • 7=1/2(4+x)

Lets see how

  • 1/2(4+x)=7
  • 4+x=14
  • x=14-4=10

Yes this satisfies

Option D