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
