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length= x+5 width= 3x+1
Write an expression for the perimeter of this shape and simplify your answer.

4x+12

Step-by-step explanation:

Assuming the shape is a rectangle with

length=x+5 units and width=3x+1 units.

The perimeter is given by:

We substitute the expression for the length and width to get:

We simplify within the parenthesis to get:

We now expand to get:

The expression for the perimeter is 4x+12

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180