Answer:
Q1.ans=52
Q2.ans=9
Step-by-step explanation:
substitute the value of x in the equations and open the bracket before adding and subtracting
We use the fact that if x+y+z = 0, then x³+y³+ z³ = 3 x y z.<span>
(x</span>²-y²) + (y²-z²) + (z²-x²) = 0<span>
also: (x-y) + (y-z)+ (z-x) = 0
we assume that: x </span>≠y ≠ z.
<span>
hence,
(x²-y²)³ + (y²-z²)³ + (z²-x²)³ ÷ (x-y)³ + (y-z)³ + (z-x)³
= 3 (x</span>²-y²) (y²-z²) (z²-x²) ÷ [3 (x-y) (y-z) (z-x)]
<span>= (x+y) (y+z) (z+x)</span>
Answer:
The rectangle ABCD and the congruent angles are shown in the diagram below.
We know that T is a midpoint.
That gives us the length of TD = length of TB, also TA = TC
Look for triangle ATD and BTC, we have so far that:
TD = TB and TA = TC
∠DAT = ∠BCT (properties of alternate angles)
∠ATD = ∠BTC (properties of opposite angles)
By the postulate SAS (Side Angle Side) we can deduce that AD = BC
Answer: TB = TD (Fourth option)
Step-by-step explanation:
Answer:
The answer is C.
Step-by-step explanation:
Well as you can see these are both rectangles. So the first thing that we would do is divide 27 by 9.
This would equal 3.
Then we do the same with the longer side which is 33 divided by 11.
So now we know the scale factor or dilation of 3.
So now we can conclude that these shapes are similar.
Because C is the only answer that says that these shapes are similar C would be your final answer.
If you have any questions feel free to ask in the comments - Mark
P.S. - Make sure that you know this because this is going to be on future tests or assignments, so if you don't understand anything feel free to ask, I have no problem answering.