What is the value of x?
enter your answer in the box.

50

Step-by-step explanation:

opposite angles are equivalent so set them equal to each other and isolate x

2(x+10)=(3x-30)

2x+20=3x-30

20+30=3x-2x

50=x

The value of x is 50.

Step-by-step explanation:

Hi, since the opposite angles are equal we can assume:

2(x+10) = (3x-30)

So, solving for the variable "x":

2(x+10) = (3x-30)

First, we apply distributive property:

2x+20=3x-30

Adding  alike terms and isolate x:

20+30 =3x-2x

50=x

The value of x is 50.

Feel free to ask for more if needed or if you did not understand something.

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.