Write and solve an inequality for x.

C

Step-by-step explanation:

Using the Triangle Inequality Theorem, the sum of two sides must be greater than the third side.

BD + DC > BC     and        DC + BC > BD      and          BD + BC >   DC

x+3 + DC > 9       and         DC + 9 > x+3       and          x+3 + 9 > DC

                                                   -3       -3  

                                            DC + 6 > x

                                             x < DC + 6

If x + 3 + DC > 9, then obviously x + 3 > 9

Similarly, if x < DC + 6, then obviously x < 6

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.

step-by-step explanation:

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