Area of A(40, 20), B(80, 20), C(100, 70), and D(40, 70)

2,500 units²

Step-by-step explanation:

These vertices will form a trapezoid

AB and CD are the parallel sides

And the height is 70 - 20 = 50

Lengths:

AB = 80 - 40 = 40

CD = 100 - 40 = 60

Area of the trapezoid:

½ × (40 + 60) × 50

2500 units²

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

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.