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SVETLANKA909090 [29]
3 years ago
11

Quadrilateral ABCD has vertices A(1, 0) B(5, 0) C (7, 2) D(3, 2). Use slope to prove that ABCD is a parallelogram. Show all of y

our work for full credit.
Mathematics
1 answer:
Digiron [165]3 years ago
4 0
AD slope = (0 - 2)/(1-3) = 1

BC slope = (0-2)/(5-7) = 1

The line segments AD and BC have the same slope, so both line segments are parallel.

AB & CD slopes = 0 

AB & CD will be horizontal since there is no change in their Y-values thus both segments are parallel to each other

So ABCD is a parallelogram 
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ehidna [41]

Correct question with correct options has been attached

Answer:

37

Step-by-step explanation:

Let C represent those dressed as heroes and let B represent those wearing mask

Thus;

n(C) = 39

n(D) = 45

We are told that 21 entrants were dressed as heroes wearing a mask.

Thus; n(C n D) = 21

We are also told that there were a total of 100 entries.

Thus, n(T) = 100

Now, number of entrants neither dressed as heroes nor wearing a mask is given by;

n(T) - n(C u D)

n(C u D) = n(C) + n(D) - n(C n D)

n(C u D) = 39 + 45 - 21

n(C u D) = 63

Thus;number of entrants neither dressed as heroes nor wearing a mask is: 100 - 63 = 37

3 0
3 years ago
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Crank

Answer:

A is -2

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Step-by-step explanation:

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4 1
3 years ago
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mars1129 [50]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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112+64+58=234

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Step-by-step explanation:

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