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Lelechka [254]
3 years ago
7

How do I do this? I don't understand the concept of proofing... please help

Mathematics
1 answer:
Anarel [89]3 years ago
3 0
Ask your freinds tohelp u haha :())
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One way to prove this quadrilateral is a square is by calculating the slopes of its sides and the slopes of its diagonals.
tatuchka [14]

Answer:

Step-by-step explanation:

<h3>To prove quadrilateral is a square:</h3>

a)  Slope of CB

   C(-3,-1)  ; B = (0,3)

     \sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}

                \sf = \dfrac{3-[-1]}{0-[-3]}\\\\ =\dfrac{3+1}{0+3}\\\\ = \dfrac{4}{3}

  \sf \text{\bf slope of CB = $\dfrac{4}{3}$}

b) D(1,-4)   ; A(4,0)

    Slope \ of \ DA = \dfrac{0-[-4]}{4-1}\\

                          = \dfrac{0+4}{3}\\\

    \sf \text{\bf Slope of DA = $\dfrac{4}{3}$}

Slope of CB = slope of DA

c) C(-3,-1) ; D(1 , -4)

    \sf Slope \ of \ CD =\dfrac{-4-[-1]}{1-[-3]}

                       \sf = \dfrac{-4+1}{1+3}\\\\    = \dfrac{-3}{4}\\

\sf Slope \ of \ CD * Slope of CB =  \dfrac{-3}{4}*\dfrac{4}{3}=-1

So, CD is perpendicular to   CB

d) B(0,3)  ;  D(1,-4)

    Slope \ of \ BD = \dfrac{-4-3}{1-0}\\\\=\dfrac{-7}{1}\\\\=-7

e) C(-3,-1) ; A(4,0)

   \sf Slope \ of \ CA = \dfrac{0-[-1]}{4-[-3]}\\

                       =\dfrac{0+1}{4+3}\\\\=\dfrac{1}{7}

\text{Slope of CA *Slope of BD = $\dfrac{1}{7}$*(-7)}=-1

So, CA is perpendicular to BD

\sf \text{\bf Slope of DA = \dfrac{4}{3}}

5 0
2 years ago
3x+4y=-36, -2x+4y=-16
8_murik_8 [283]

Answer:

3x+4y=-36

x= -4/3y-12

-2x+4y=-16

x= 2y+8

8 0
3 years ago
Look at this graph:
Dahasolnce [82]

Answer:

20/100=1/5

Step-by-step explanation:

find the gradient of the line to find the fraction

the line is 20 units high so the line starts and stops subtracting equals 20 and the line is 100 units long to get the gradient you find the rise over the run

4 0
3 years ago
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Will mark brainliest!plz help
maks197457 [2]

Answer:

1. D

2. D

Step-by-step explanation:

5 0
3 years ago
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Solve for the letter h​
sdas [7]

Answer:

v=ha^2/3

Step-by-step explanation:

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