The two triangles below are similar due to angle-angle similarity because ∠POQ≅∠MON and ∠M and ∠P are both right angles. To establish angle-angle similarity, Steven argues that he can rotate the smaller triangle about point O and dilate it to produce the larger triangle. Enter the measure of the scale factor of the dilation that classifies Steven's argument as correct.

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.

$119.20

step-by-step explanation:

$372.50 - 60% off is $149. $149-20% off is $119.20

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15

$113.42

i hope that is right.

step-by-step explanation: