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12345 [234]
2 years ago
7

Planes X and Y and points C, D, E, and F are shown.

Mathematics
1 answer:
viva [34]2 years ago
5 0

Answer:

The answer is below

Step-by-step explanation:

The planes are shown in the image below.

From the image, points D and E are on plane Y, while point F is on plane X.

A) The line that can be drawn through points C and D is  contained in plane Y.

This statement is wrong because point C is not in plane Y

B) The line that can be drawn through points D and E is  contained in plane Y.

Correct. Since both points D and E are on plane Y, hence The line that can be drawn through points D and E is  contained in plane Y.

C) The only point that can lie in plane X is point F.

This statement is correct because from the image only point F is on plane X.

D) The only points that can lie in plane Y are points D  and E.

This statement is correct because from the image only point D and E is on plane Y.

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Graph a triangle (LMN) and rotate it 180° around the origin to create triangle L′M′N′.
andreev551 [17]

When a triangle is rotated, it must be rotated through a center of rotation.

Assume the coordinate of LMN is

\mathbf{L = (1,1)}

\mathbf{M = (1,7)}

\mathbf{N = (3,6)}

The rule of 180-degree rotation is:

\mathbf{(x,y) \to (-x,-y)}

So, we have:

\mathbf{L' = (-1,-1)}

\mathbf{M' = (-1,-7)}

\mathbf{N' = (-3,-6)}

See attachment for the graphs of LMN and L'M'N

<u>(a) Describe the transformation</u>

When triangle LMN is rotated 180 degrees across the origin, the x and y coordinates of LMN are negated to form triangle L'M'N'

<u>(b) Lines LL' and MM'</u>

The distance between point L and the center of origin is the same as the distance between point M' and the center of origin

Similarly, the distance between point L and the center of origin is the same as the distance between point M' and the center of origin

<u>(c) Line NN'</u>

Line NN' will assume the same characteristics as lines LL' and MM'

Read more about transformations at:

brainly.com/question/11707700

7 0
3 years ago
Which expression is equivalent to 84+48
padilas [110]
The answer is a 
-hope this helped- 
4 0
3 years ago
A jewellery shop sells 240 necklaces in a month 180 of the necklaces were sold via the shop website work out the simplest form
Dovator [93]

Answer:

3 : 1

Step-by-step explanation:

A jewellery shop sells 240 necklaces in a month 180 of the necklaces were sold via the shop website work out the simplest form. The rest were sold in a High Street shop.

Work out the ratio of online sales to shop sales.

Give your answer in its simplest form.

Necklace sold in the shop = 240 - 180 = 60

180 : 60

to convert to simplest form, divide both numbers by 60

3 : 1

4 0
2 years ago
Find the difference 9 1/3 - 2/3
olga2289 [7]
Answer:  9 1/3 - 2/3 =  8  2/3 .
___________________________________

Note:  If the answer were "8 1/3" ; 

then:  "8 1/3 + 2/3 =? 9 1/3 ? "  

      → "8 1/3 + 2/3 = 8  3/3 = 8 + 1 = 9 = only "9" ;
____________________________________________
So the answer has to be MORE than "8 1/3"

Try "8 2/3"  → "8 2/3 + 2/3 =? 9 1/3?" ?? ; 
        
                  → "8 2/3 + 2/3 = 8 4/3 = 8 + 1 1/3 = 9 1/3 " → Yes!
_________________________________________________
 So, the answer is:  "8  2/3" .
_________________________________________________
Another method:
_________________
Given the problem:  "<span>9 1/3 - 2/3 " ;
___________________________________
Note that:  "2/3 = 1/3 + 1/3"
__________________________________
So, "</span><span>9 1/3 - 2/3 = 9 1/3 - (1/3 + 1/3) = 9 1/3 - 1/3 - 1/3 = ?
 ________________________________________________
   Start with:  "</span>9 1/3 - 2/3" = 9.  Then 9 - 1/3 = 8 3/3 - 1/3 = 8 2/3.
<span>______________________________________________________
</span>Another method:
____________________________
Given the problem:  
____________________________
  "9 1/3 - 2/3 = ?? " ;
____________________________
  Convert "9 1/3" into "28/3" ;  ("3*9 = 27"); ("27+1=28");
                                           (The "3" comes from the "3" in the: "1/3" portion.)
_________________________________________________________
  So, we rewrite as:  
_____________________________________
   28/3 - 2/3 = (28 - 2) / 3 = 26/3 ; or, 8  2/3 .
__________________________________________________
3 0
3 years ago
Simplify the equation 32^3/5
scoundrel [369]
Ok so to simplify 32^3/5, you will need to know the steps, so I'll tell u the step by step solution. ;D

So Step 1: You have to <span>Raise 32 to the 3rd power:

</span><span><span>1.1 </span>    32 = 2</span>⁵
(32)³ = (2⁵)³ = 2¹⁵

<span>the equation has ended on step 1, so now is:

</span><span>  2</span>¹⁵
<span>------
  5
</span>
Now step 2:
Simplify it 

(you can't simplify this equation but these is the steps you gotta do on other equations so I'm just giving an example.)

  2¹⁵
------
  5

So basically your final result is:

  2¹⁵
------
  5

=====End=====

Hope you understand it :D

-Skylor/Crystal
6 0
2 years ago
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