In the diagram below, abc ~ dec. what is the value of x?

3

Explanation:

Similar figures have sides that are proportional.  This means that the ratio of corresponding sides is the same, no matter which two corresponding sides you compare.

Using the similarity statement, we know that AB corresponds to DE and that BC corresponds to EC.  This means that the ratio of AB:DE is the same as the ratio of BC:EC, giving us the proportion

Cross-multiplying, we have

x(25) = (18-x)(5)

25x = 90-5x

Add 5x to each side:

25x+5x = 90-5x+5x

30x = 90

Divide both sides by 30:

30x/30 = 90/30

x = 3

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.