Polygon a is similar to polygon b. the sides of a polygon a are three times larger than the corresponding sides of polygon b. the perimeter od polygon a is 144. what is the perimeter of polygon b ? a. 432 b. 12 c. 144 d. 48

Since similar polygons have proportional sides, their perimeters are proportional as well. Set up a ratio to find the

Side x of polygon A is to side y of polygon B as the perimeter of A is to the perimeter of B.

In mathematical terms:

x:y = A:B

We know that one side of A is 3 times as large as one side of B, so we can substitute x and y for those values:

3:1 = A:B

We also know that the perimeter of A is 144, so we can substitute that value as well.

3:1 = 144:B

Now we can use this proportion to find the perimeter of B. Multiply the means and extremes and solve:

3B = 144

B = 48

The perimeter of polygon B is 48.

I hope this helps =)

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b