Eric and his two sisters shared an amount of money in the ratio 2:7 respectively. If Eric had $ 300 and the remaining amount shared equally among the sisters, how much did each sister get?

each sister get will get $525

Step-by-step explanation:

1st step

Eric and his sisters shared amount x in the ratio 2:7

total ratio = 2+7 = 9

2nd step ;

Total amount of money shared since Eric received $300

(ratio of Eric/ Total ratio ) x Shared amount X = share of Eric

2/9 x X= 300

X=(300 x 9) / 2 = $1,350

Total money = $1,350

3rd step:

two sisters will receive

(ratio of two sisters/ Total ratio ) x Shared amount x = share of two sisters

7/9 x $1,350 =  9,450/9 = 1,050

share of two sisters= $1050

if they share equally , each will receive  $1050/2 = $525

step-by-step explanation:

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.