Question

HURRY!!!!!

A carpenter cuts the corners of a rectangle to make the
trapezoid shown.
What is the value of x?
5.375
5.5
011
(7x + 4)
13

Answer 1

`x=11`

Explanation:

We have been given that a carpenter cuts the corners of a rectangle to make the trapezoid. We are asked to find the value of x.

Since trapezoid is made of rectangle, so both bases will be parallel to each other.

We know that two consecutive interior angle of parallel lines are supplementary. We can set an equation to solve for x as:

`9x+7x+4=180`

`16x+4=180`

`16x+4-4=180-4`

`16x=176`

`(16x)/(16)=(176)/(16)`

`x=11`

Therefore, the value of x is 11.

Answer 2

`x = 11`

Explanation:

The bases of a trapezoid are parallel

The angles,

`(9x) \degree`

and

`(7x + 4) \degree`

are same side interior angles. These two angles are supplementary.

`(7x + 4) + 9x = 180 \degree`

`7x + 9x = 180 - 4`

`16x = 176`

Divide both sides by 16.

`x = (176)/(16)`

`x = 11`