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3 years ago

Prove that the figure is a parallelogram. If so, classify the parallelogram. Be specific and justify your answer.

Mathematics

1 answer:

sesenic [268]3 years ago

8 0

Answer:

Step-by-step explanation:

If it is a parallelogram the opposite sides will a have the same slope.

Using the diagram we see from the coordinates of A and B:

Slope of AB = (5 - -1)/(-1 - -5)

= 6/4

= 3/2.

In the same way

slope of CD = (2 - -4) / (1 - -3)

= 3/2.

So AB and CD can be shown to be parallel.

Similarly the lines BC and AD are parallel.

So the figure is a parallelogram

Finding the perimeter (counting the units between the points):

Perimeter = 2AB + 2BC

By Pythagoras:

AB = sqrt (6^2 + 4^2) = sqrt 52

BC = sqrt (3^2 + 2^2) = sqrt 13

So Perimeter = 2sqrt52 + 2sqrt13

= 4sqrt13 + 2 sqrt13

= 6sqrt13

or 21.63 unit^2 to 2 decimal places.

Area = sqrt52 * perpendicular distance between the lines AB and CD.

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3 consecutive integers for 273

a_sh-v [17]

Answer:

90, 91 and 92

Step-by-step explanation:

Given

Consecutive integers = 273

Required

Find the integers

The question seem to be incomplete. However, I'll assume we're dealing with sum.

Let the smallest integer be y.

So,

y + y + 1 + y + 2 = 273

Collect like terms.

y + y + y = 273 - 2 - 1

3y = 270

Divide both sides by 3

y = 90

Hence, the integers are 90, 91 and 92

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3 years ago

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Shtirlitz [24]

Answer:

I think it is 1.5 or 1/2

Step-by-step explanation:

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3 years ago

Read 2 more answers

The domain of g(x) = 4x –12 is {2, 3, 6, 8}. What is the range

vlada-n [284]

Answer:

Range - {-4,0,12,20}

Step-by-step explanation:

Given that,

The function is :

g(x) = 4x –12

The domain of the function is {2, 3, 6, 8}.

g(2) = 4(2) –12 = -4

g(3) = 4(3) –12 = 0

g(6) = 4(6) –12 = 12

g(8) = 4(8) –12 = 20

Hence, the range of the function is {-4,0,12,20}.

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3 years ago

Angeline bought s yards of satin fabric priced at $8. 09 per yard, and c yards of cotton fabric priced at $3. 79 per yard. Use a

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Answer:

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