to calculate the perimeter of the parallelogram you need the two side lengths 12 inches and 15 inches

the answer would be 54

Step-by-step explanation:

If the shape is a parallelogram then two sides will be equal lengths. same with the other two sides.

if you need the perimeter then you need to add the lengths of all the sides. so that would be 12 12 15 and 15. Add those together and you get 54 inches.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions