the following two pentagons are similar. find the missing side length represented by x. please help quickly!

5 inches.

Step-by-step explanation: Take a length from the original (13.5) and divide it by the new length of that side (9) to get 1.5. Then take 7.5 and divide it by 1.5 to get 5 inches.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.