The phytagorean theorem states a^2 + b^2 = c^2
And so your answer is C. (UV)^2+(VW)^2=(UW)^2, because 81+144=225
Since they are squares, the length of one sides square is equal to the area. UV, VW, and UW are all sides on a square. If you square them, you get their area, and then if you add the areas it will prove the phytagorean theorem correct.
Answer:
1. 5040
2. 20
Step-by-step explanation:
1. using the formula for permutation
nPr=n!/(n-r)!
10P4 = 10!/(10-4)!
=10*9*8*7*6!/6!
then we are left with
=10*9*8*7
=5040
2.using the formula for combination
nCr=n!/(n-r)!r!
6C3=6!/(6-3)!3!
=6*5*4*3!/3!3!
=6*5*4/3*2*1
=20
Answer: 
Step-by-step explanation:
Let be "x" the height inches (in the model) of a 84 foot building.
According to the information provided in the exercise, we know that the height of a two-story building is 21 feet and in the scale model its height is 3 inches.
Knowing this, we can set up the following proportion:

The final step is to solve for "x" in order to calculate its value. We get that this is:

Therefore, an 84 foot building will be 12 inches tall in the model.
A.
Mice are small and kilograms are for much larger objects. The other two measurements are for liquids.
Answer:
(5, 5), (7, 2), (3, 2)
Step-by-step explanation:
When reflecting a figure across the y-axis, the x value will be the opposite and the y value will remain the same
reflection across y-axis:
(x, y) ---> (-x, y)
Hope this helps!!