Answer:
The value of [tex]x[/tex] is 11.077.
Explanation:
The information of the statement is incomplete, given all these brief descriptions, we infer that this exercise is asking to find the value of [tex]x[/tex] associated to internal angles of a triangle.
From Geometry, we know that sum of internal angles equals 180º. Then, we construct the following expression:
[tex]30^{\circ}+(9\cdot x-6)+4\cdot x = 180^{\circ}[/tex] (1)
Lastly, we solve for [tex]x[/tex]:
[tex]36^{\circ}+13\cdot x = 180^{\circ}[/tex]
[tex]13\cdot x = 144^{\circ}[/tex]
[tex]x = 11.077[/tex]
The value of [tex]x[/tex] is 11.077.