Line g bisects line segment bc at point h. bh = 4x and hc = 24. find bc.

BC=48 units

Step-by-step explanation:

we know that

BC=BH+HC

if Line g bisects line segment BC

then

BH=HC

substitute the given values and solve for x

4x=24

x=6

Find the value of BC

BC=BH+HC

BC=4x+24

substitute the value of x

BC=4(6)+24

BC=24+24=48 units

Note In this problem it was not necessary to find the value of x, the calculation was done for didactic purposes.

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.