In a trapazoid the diagonals are the same so therefore the two equations equal echother
3x+7=5x-11 solve for x by combining like terms
18=2x then divide to unto multiplication
9=x
9 is the value of x
I hope I've helped!
Answer:
104 cm squared
Step-by-step explanation:
none.
Answer:
Step-by-step explanation:
We have the four thickest books from the line plot given by
Two books of 
inch thick and the two books of 
inch thickness.
So when the two inch thick book is being piled on the top of a inch thick books.
Therefore, the total thickness of the pile of books is given by :
Therefore, the thickness of the pile is .
Answer:
36 cubic inches
Step-by-step explanation:
The prism is literally just the front section twice. Find the area of the front and then add it to itself
Answer:
Yes!
Step-by-step explanation:
Let x be the tens place and y be the units place. x and y need to be odd because in other case a or b will not be odd. For example, if x=1 and y=2 a will be 21 but b will be 12 that is not odd.
Now, a+b = xy+yx. Note that xy is not x*y, is just the digits concatenated.Then, there are two cases:
If x+y<10 then xy+yx = (x+y)(x+y) (again, that is not a multiplication is x+y concatenated with x+y) and that is 11*(x+y) a multiple of 11.
If x+y≥10 then xy+yx = (x+y+1)(x+y-10) because x+y<20.
Now we are going to see that last result without the concatenation, as a sum, that is
(x+y+1)*10 + x+y-10 = 10x+10y+10+x+y-10 = 11x+11y = 11(x+y). This result is clearly a multiple of 11.
In conclusion, in all cases the result of a+b is a multiple of 11.
