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lesantik [10]
4 years ago
11

Who ever gets this wright first gets a thanks

Mathematics
1 answer:
bulgar [2K]4 years ago
7 0
32 people because 24 adding 8 is 32 and 8 times 4 is 32
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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
Dorothy wrapped 2 presents in 4 minutes. At that rate, how many
madam [21]

Answer:

90

Step-by-step explanation:

2 presents per 4 minutes is 30 presents per hour multiplied by 6 hours is 90 presents

5 0
3 years ago
Can someone help me please
nordsb [41]

Answer:

so the answer is the third one

3 0
3 years ago
PLEASE HELP I WILL GIVE A BRAINLIEST!!! THANK U.
lbvjy [14]

Answer:

I wish I was smart in math because that looks hard!!

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
8. What is m&lt;1<br> 77<br> 1<br> 56<br> A 103°<br> | C 133°<br> C °<br> D 124°<br> B 47°
saveliy_v [14]

Answer:

Option C

Step-by-step explanation:

Exteriore angle property: Exterior angle equals the sum of opposite interior angles.

∠I = 77° + 56°

    = 133°

5 0
3 years ago
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