Answer: △DEF is congruent to △D'E'F' because you can map △DEF to △D'E'F' using a reflection across the x-axis, which is a rigid motion.
Explanation:
1) Reflections, rotations and translations are rigid transformations, because they do not modify the lengths of the segments nor the angles, so the images and the preimages are congruents.
2) Let's see what transformation map △DEF is to △D'E'F' by analyzing the vertices of preimage and image:
Preimage Image
D (-3, -1) D' (-3, 1)
E (2, -4) E' (2, 4)
F (4, -4) F' (4, 4)
As you see when the image is formed, the coordinate x of the image is kept, and the coordinate y is negated. This rule is (x, y) → (x, - y), which is the rigid transformation reflection across the x-axis.
Answer:
B. Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.
Step-by-step explanation:
It would take him 2.5 hrs because when you divide 10 by 4 that's what you get
First you would simplify what's in the square root, to get root 20. If you want the exact number, and not the approximation, you would take out whatever squares are in that number (20=2*2*5) so your answer is 2root5.
However, if you want the approximation, simply plug it into your calculator and get 4.18154055.