1. The perimeter of a sector of a circle of radius r is 8 metres. (i) Express θ in terms of r, where is the angle of the sector
in radians, as shown.

Step-by-step explanation:

s and r are the arc length and radius, respectively.

perimeter of sector = s+2r = 8

s = 8-2r

θ = s/r = (8-2r)/r

correct answer is infinitely many solutions

step-by-step explanation:

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

solving the above equation:

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

combining like terms

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

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions