Square LAMP has vertices L(-2, -3), A(4, -1), M(2,5), and P(-4, 3). What is the perimeter of the square?

The perimeter of the square LAMP is 8 units

Step-by-step explanation:

The rule of the distance between two points (x1, y1) and (x2, y2) is

d =

∵ LAMP is a square

∵ The sides of the square are equal in lengths

∴ LA = AM = MP = PL

Let us find the length of one side of it

∵ L = (-2, -3) and A = (4, -1)

∴ x1 = -2 and y1 = -3

∴ x2 = 4 and y2 = -1

→ Substitute them in the rule of the distance above to find LA

∵ LA =

∴ LA =

∴ LA =

∴ LA = =

→ Simplify the root

∴ LA = 2 units

∵ The perimeter of the square = 4 × side

∴ The perimeter of the square = 4 × 2

∴ The perimeter of the square = 8

∴ The perimeter of the square LAMP is 8 units

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5

step-by-step explanation:

at each of the parallel lines adjacent angles are supplementary. the angles have special names identifying their positions with respect to the parallel lines and transversal. they are corresponding angles, alternate interior angles, or alternate exterior angles. an angles is congruent to its matched angle.