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Mumz [18]
3 years ago
5

Which transformations will produce similar, but not congruent, figures?

Mathematics
1 answer:
liubo4ka [24]3 years ago
6 0
The correct answer is <span>A. Triangle TUV is dilated by a scale factor of 9 and then translated 2 units right and 1 unit down to form triangle TꞌꞌUꞌꞌVꞌꞌ.
</span>
Congruent figures are of the same shape and the same size. <span>Triangle TUV is dilated by a scale factor of 9 and then translated 2 units right and 1 unit down to form triangle TꞌꞌUꞌꞌVꞌꞌ will produce similar but not congruent figures because they have different sizes.</span>
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Show that in a group of five people (where any two people are either friends or enemies), there are not necessarily three mutual
sveta [45]

Answer:

Lets call the people A,B,C,D and E. We need to find an example where there are not 3 mutual friends and not three mutual enemies.

Lets start by assuming that A has 2 friends, B and C, and 2 enemies, D and E.

Since we want A,B and C not to be mutually friends, then B and C neccesarily have to be enemies.

Now, since B and C are enemies, they cant be enemies at the same time with D, and they also cant be enemies at the same time with E. Therefore one of them has to be friends with D and one has to be friends with E.

Also, since D and E are enemies with A, they neccesarily need to be friends.

From the fact that D and E are friends, we coclude that they cant have a friend in common, as a consequence, B has to be friends with one of D and E and C has to be friend with the other. We can assume that B is friend with D and C is friend with E. If we use that, we have the following friendship configuration

---------------------

Friends of A: B, C

Enemies of A: D,E

-------------------------

Friends of B: A,D

Enemies of B: C, E

------------------------

Friends of C: A,E

Enemies of C: B,D

------------------------

Friends of D: B,E

Enemies of D: A,C

----------------------------

Friends of E: C,D

Enemies of E:  A,B

--------------------------

As you can check, there is not three mutual friends nor three mutual enemies.

8 0
3 years ago
Which equation is the inverse of 2(x - 2)2 = 8(7 + y)?
Temka [501]
The answer to your question is D.
4 0
2 years ago
Jennifer makes 1.7 liters lemonade. If she pours 3 tenths of the lemonade in the glas,how many liters of lemonade are in the gla
german
You need to set up a portportation to solve this question to do so you need to know that 3 tenths is 30% so you can do:

30/100 = x/1.7

So now you cross multiply doing 30X17=510
Finially X=510/100
Simpified Answer is 5.1 liters
4 0
3 years ago
Read 2 more answers
What is 170% of 97 tons???
Ede4ka [16]
x=170\% * 97 \\ \\ x= \frac{170}{100} *97 \\ \\ x= \frac{17}{10}*97 \\ \\ x= \frac{1649}{10}=164.9
6 0
3 years ago
26,500 in scientific notation
HACTEHA [7]
          It would be 2.6 x 104 for 26,500 in scientific notation.
4 0
3 years ago
Read 2 more answers
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