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Lena [83]
3 years ago
6

Using Rigid motion, explain in detail, why triangle ABC must be congruent to triangle DEF

Mathematics
1 answer:
weeeeeb [17]3 years ago
7 0
Using rigid motion, both of these triangles will be congruent. The reason is because rigid motions include reflections, translations, and rotations.

None of these transformations will affect the size or shape of the figure, therefore keeping them congruent.
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Help me with 2, 8, and 10 plz
OverLord2011 [107]

For #2:

<span> 3x^2 + 4 – 2x^2 + 6</span>

<span><span>You need to combine your like terms:
</span> 3x^2 – 2x^2= x^2</span>

4 + 6 = 10

This will now give you:

<span>X^2 +10</span>
3 0
3 years ago
Whats (4.2×10^6)+(2.25 × 10^5) in scientific form
lys-0071 [83]
We are going to rewrite both numbers:
 (4.2 × 10 ^ 6) = 4200000
 (2.25 × 10 ^ 5) = 225000
 Adding we have:
 4200000 + 225000 = 4425000
 Rewriting in exponential notation we have:
 4425000 = 4,425 * 10 ^ 6
 Answer:
 
(4.2 × 10 ^ 6) + (2.25 × 10 ^ 5) is equal to:
 
4,425 * 10 ^ 6
8 0
3 years ago
2 1/2r + 1 + 2r = 9 1/10
GalinKa [24]

This should help you here are the steps of your problem :)


2*(1/2)*r+2*r+1 = 9*(1/10) // - 9*(1/10)


2*(1/2)*r+2*r-(9*(1/10))+1 = 0


2*(1/2)*r+2*r-9/10+1 = 0


3*r+1/10 = 0 // - 1/10


3*r = -1/10 // : 3


r = -1/10/3


r = -1/30


r = -1/30


So your answer would be 1/30

4 0
3 years ago
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 5 cos 3θ
Aneli [31]
First of all get a picture of what this looks like. Desmos is a pretty good graphing program, but anything that will do polar coordinates will work. 

Here is the graph.

What you can see is that this graph is symmetrical around the x axis.

When you talk about symmetry, you can think of it as taking a mirror and putting it where you think there is symmetry. If you can't tell the difference between the image and the real thing, then you have symmetry.

In this case, the mirror will show symmetry along the x axis and no where else.

4 0
3 years ago
Read 2 more answers
Rayshawn has a certain amount of money if he spends $20 then he has 1/3 of the original amount how much money did Rayshawn have
erik [133]

Answer:

Rayshawn originally had $30.

Step-by-step explanation:

i) Rayshawn has a certain amount of money. Let us say this amount is $x.

ii) Rayshawn spends $20 which means that he is left with $(x - 20)

iii) it is also given that amount of money left after spending $20 is \dfrac{1}{3} of the original amount, $x, the amount remaining is \dfrac{\$x}{3}.

iv) from the information given in ii) and iii) we get

     $(x - 20) = \dfrac{\$x}{3},  Therefore we get 3x - 60 = x , therefore 2x = 60,

  Therefore x = $30. Rayshawn originally had $30.

7 0
3 years ago
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