When you reflect an figure across the line y=x, the x- and y-coordinates switch places. This means that J' will be at (1, -2), K' will be at (-3, 2); and L' will be at (2, 2).
Answer: 20
Step-by-step explanation:
You just need to find the same number on both sides for example -20 and 20
Answer:
Yes, the AA similarity postulate can be used because a reflection over line f will establish that ∠ABC ≅ ∠DEC.
Step-by-step explanation:
The volume of the box is L * W * H = 1680
Let the width be W. But Height, H, = W + 7 and Length, L, = 2W - 2
So we have (2W - 2) * W * (W + 7) = 1680
So we have (2W^2 - 2W)(W + 7) = 1680
2W^3 - 2W^2 + 14W^2 - 14W = 1680
2W^3 + 12W^2 - 14W = 1680
W^3 + 6W^2 - 7W = 840
W^3 + 6W^2 - 7W - 840 = 0
Let f(w) = W^3 + 6W^2 - 7W - 840
The root of the polynomial occurs when f(w) = 0
So by trial and error let w = 8
Then we have 8^3 + 6(8)^2 - 7(8) - 840 = 0
Hence w = 8 is a root of the equation.
So we divide our polynomial by the root to obtain other roots, I.e W^3 + 6W^2
- 7W - 840 divide by w- 8. Doing this we have w = 15 and W = 14.
Hence the dimensions of the box is 8 * 15 * 14