What is the value of x?

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x =

Firstly, we will have to name vertices

We can see that

triangle ABC and triangle ADE are similar

so, the sides of their ration must be equal

we can write as

now, we can find sides from figure

now, we can plug these values

now, we can solve for x

now, we can cross multiply

we will isolate x terms

.................Answer

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.