Answered

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30°
(9x-6)
(4x)
What is the value of x?

Sagot :

xero099

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.

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