Atriangle pattern is shown below. the perimeter of each figure in the pattern is shown in the table below. which equation relates the number of triangles in the figure (n) to the perimeter of the figure (p)? a p=6n+18 b p=9n+6 c p=6n+9 d p=9n+12

A) P = 6n + 8

Step-by-step explanation:

Given:

Perimeter of the 1 triangle = 24

Perimeter of the 2 triangle = 30

Perimeter of the 3 triangle = 36

Let's check with option A.

P = 6n + 18, where "n" is the number in the figure.

Plug in n = 1, we get

P = 6(1) + 18

= 6 +18

P = 25 True.

Plug in n =2, we get

P = 6(2) + 18

= 12 +18

P = 30 True.

Plug in n =3, we get

P = 6(3) + 18

P = 18 + 18

P = 36, true.

Therefore, the answer is A. P = 6n + 18

Thank you.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%