Diagonal of a Rhombus are perpendicular & intersects in their middle point:
Assume the diagonals intersects in H
A(0,-8), B(1,-0), C(8,-4) & D(x, y) are the vertices of the rhombus and we have to calculate D(x, y)
Consider the diagonal AC. Find the coordinate (x₁, y₁) H, the middle of AC
Coordinate (x₁, y₁) of H, middle of A(0,-8), C(8,-4)
x₁ (0+8)/2 & y₁=(-8-4)/2 ==> H(4, -6)
Now let's calculate again the coordinate of H, middle of the diagonal BD
B(1,-0), D(x, y)
x value = (1+x)/2 & y value=(y+0)/2 ==> x= (1+x)/2 & y=y/2
(1+x)/2 & y/2 are the coordinate of the center H, already calculated, then:
H(4, -6) = [(1+x)/2 , y/2]==>(1+x)/2 =4 ==> x=7 & y/2 = -6 ==> y= -12
Hence the coordinates of the 4th vertex D(7, -12)
Step-by-step explanation:
blue: 4x+2+7x+7+5x -4 = 16x +5
red: x+3+x+7+2x-5 = 4x -5
difference: 16x+5 - (4x -5) = 12x +10
Solution is in the picture
Answer:
B
Step-by-step explanation:
Answer: $15
Step-by-step explanation:
8 cookies cost $12 you divide 12 by 8 and then you get 1.5 which equals 1.50 so each cookie is 1.50. So for 10 cookies you multiply 10 times 1.50 and you get your answer $15. 10 cookies cost $15
