a carpenter cuts the corners of a rectangle to make the trapezoid shown. what is the value of x? 5.375 5.5 11 13

Step-by-step explanation: Not completely sure but i think the answer is 11

11

Step-by-step explanation:

A trapezoid is quadrilateral where 2 sides are non parallel and the other two sides are parallel.

An Isosceles Trapezoid consists of non parallel sides having the same angle between the base and top. Here we do not know the other two angles so we have applied the following theorem:

In a trapezoid the sum of the angles on the same side is equal to 180°

So,

9x+7x+4 = 180

⇒16x+4 = 180

⇒16x = 180-4

⇒16x = 176

⇒x = 176/16

⇒x = 11

∴ The value of x is 11

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