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alekssr [168]
3 years ago
7

The statement "Angle 1 is congruent to angle 3" is justified by the ________. ?

Mathematics
1 answer:
zmey [24]3 years ago
6 0

Answer:

1

Step-by-step explanation:

that is a cute thing to be said that you know is the only way you could

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Find the total number of unit cube that fill the entire prism
Nonamiya [84]

Answer:

72 cubes

Step-by-step explanation:

Attached is the picture drawn (though not great one), showing 6 cube on length of prism, 3 cubes on width and 4 cubes on height of prism.

Given: Length of prism= 6

           Width= 3

            Height= 4

To know the number of cubes, which can fill the entire prism, we need to find volume of prism.

∴ Volume of prism= length\times width\times height

Volume of prism= 6\times 3\times 4= 72

∴ 72 units of cube can fill the entire prism.

3 0
2 years ago
I am arranging my dog's collars on a 6 hanger coat rack on the wall. If she has six collars, how many ways can I arrange the col
Irina18 [472]

Answer:

720 ways to arrange

Step-by-step explanation:

Use the factorial of 6 to find this solution.  Namely, 6!

This means 6*5*4*3*2*1 which equals 720

It seems like a huge number, right?  But think of it like this:  For the first option, you have 6 collars.  After you fill the first spot with one of the 6, you have 5 left that will fill the second spot.  After the first 2 spots are filled and you used 2 of the 6 collars, there are 4 possibilities that can fill the next spot, etc.

7 0
3 years ago
Read 2 more answers
The vertices of ABC are A(-2, 2), B(6,2), and CO, 8). The perimeter of ABC?
Alexxx [7]

Answer:

Perimeter = 22.809836694575                              

Step-by-step explanation:

A(-2, 2)  ;  B(6,2)  ;  C(0, 8)

AB=\sqrt{\left( 6--2\right)^{2}  +\left(2-2 \right)^{2}  } =\sqrt{64} =8

AC=\sqrt{\left( 0--2\right)^{2}  +\left(8-2 \right)^{2}  } =\sqrt{40} =2\sqrt{10}

BC=\sqrt{\left( 0-6\right)^{2}  +\left(8-2 \right)^{2}  } =\sqrt{72} =6\sqrt{2}

Then

The perimeter of ΔABC = AB + BC + AC

                                       =8+6\sqrt{2} +2\sqrt{10}

                                       = 22.809836694575

3 0
2 years ago
What values of x make the equation x(squared)+9x-22=0
kkurt [141]

Answer:

x = 2 \:  \:  \:  \:  \: or \:  \:  \:  \:  \: x =  - 11

Step-by-step explanation:

{x}^{2}  + 9x - 22 = 0 \\  {x}^{2}  + 11x - 2x - 22 = 0 \\  x(x + 11) - 2(x + 11) = 0 \\ (x - 2)(x + 11) = 0 \\ x - 2 = 0 \:  \:  \:  \:  \: or \:  \:  \:  \:  \: x + 11 = 0 \\ x = 2 \:  \:  \:  \:  \: or \:  \:  \:  \:  \: x =  - 11

4 0
3 years ago
Which expression below has the dame
djverab [1.8K]
Is it 6x9 or 9x6? It’s a little off on the question
5 0
2 years ago
Read 2 more answers
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