To paint a house, a painting company charges a flat rate of $500 for
supplies, plus $50 for each hour of labor.
a. how much would the painting company charge to paint a house that
needs 20 hours of labor? a house that needs 50 hours?

For 20 hours it would be $1,500 and for 50 hours it would be $3,000.

Step-by-step explanation:

The equation for this problem would be y=50x+500.

Y is the total charge and x is the amount of hours. Plug in 20 and 50, and then you have your 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.

good luck on your studies! : )

david edward.