Okay the question is simple provided you understand what these 4 terms mean. I imagine that must be the sticking point here.
In the geometric sense, similarity means one thing scales to another. This doesn't make a huge amount of sense with regards to a single length. But if you have a triangle of lengths 3,4,5 and another of lengths 6,8,10, these are similar because it is all in the same proportion. The only difference is one is twice as large in the length sense.
Collinear means on the same line. Again this doesn't make a huge amount of sense in this context, usually we refer to points being collinear, for example (1,1), (2,2) and (3,3) are all on the same line y = x. In this context, it is saying that both diagonals are exactly the same line, which doesn't make sense.
Congruence, in the geometric sense, means the same. A 3,4,5 triangle can only be congruent to another 3,4,5 triangle. This then is saying that the lengths of the two diagonals are the same in a rhombus. This is indeed true, a property that can be proved using elementary vector geometry.
Finally we have perpendicularity, the property in two dimensions whereby two lines have an angle of 90 degrees between them. In fact only a very special rhombus will have this property, a square. Hence this isn't likely to be the answer to the question because it is not true for all rhombi.
The answer is congruent. I hope this helps :)
9514 1404 393
Answer:
2440
Step-by-step explanation:
The difference in fixed costs is ...
37815 -16465 = 21350
The difference in variable costs is ...
20.50 -11.75 = 8.75 . . . . per book
Then the number of books that must be produced for the difference in variable costs to be equal to the difference in fixed costs is ...
21350/8.75 = 2440
For production of 2440 books, the costs of the two methods will be the same.
_____
<em>Additional comment</em>
You can write expressions for total cost of each production method. When you set them equal and solve for the number of books, you find the math you end up doing is the same as that shown above.
Answer:
ΔDEF is not a right triangle because no two sides are perpendicular.
Step-by-step explanation:
The coordinates of the vertices of ΔDEF are given to be D(-4,1), E(3,-1) and F(-1,-4).
Now length of DE is given by 
units
length of EF is given by 
units
and length of FD is given by 
units.
Therefore, 53 ≠ 25+34
Hence, the length of the sides does not support the Pythagoras theorem.
So, ΔDEF is not a right triangle because no two sides are perpendicular. (Answer)
Answer:
Don't know because there is only 1 number there is no another . please write answer in comment
Answer:
1:10
Big Brain
Step-by-step explanation:
magic
