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fredd [130]
2 years ago
14

Prove ABCD is a parallelogram by showing both pairs of opposite sides are parallel, given the following points. Show all work!!!

HELP PLEASEE

Mathematics
1 answer:
bearhunter [10]2 years ago
3 0

The prove that the angle ABCD is said to be a parallelogram that shows both pairs of opposite sides as parallel figure is given below.

<h3>What is the parallelogram  about?</h3>

The four points in the shape above are : A, B, C, D.

Where

A = (-2,-4)

B = (1,2)

C = (2,10)

D = (-1,4)

We place or sit vector AB with vector DC and vector AD  with vector BC

and so we find and place their coordinates.

vector AB (1-(-2), 2-(-4))

vector DC (2-(-1),10-4)

vector AD (-1-(-2), 4-(-4))

vector BC (2-1,10-2)

So we obtained:

vector AB (3,6)

vector DC (3,6)

vector AD (1,8)

vector BC  (1,8)

Next step is to calculate for the lengths :

AB=   \sqrt{3^{2} + 6^{2} }  DC= \sqrt{3^{2} + 6^{2} }

Thus, AB = DC

AD = \sqrt{1^{2} + 8^{2}  }     BC =\sqrt{1^{2} + 8^{2}  }

Hence one can say that  AD is equal to  BC.

Therefore, angle ABCD IS known to be a parallelogram .

Learn more about parallelogram from

brainly.com/question/970600

#SPJ1

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Answer:

x = -5

Step-by-step explanation:

Step 1: Write equation

-2x + 8 = 18

Step 2: Solve for <em>x</em>

  1. Subtract 8 on both sides: -2x = 10
  2. Divide both sides by -2: x = -5

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

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The sum of an integer and 6 times the next consecutive odd integer is 61. Find the
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If the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7

Consider the first odd integer as x

Then the next consecutive odd integer = x+2

The 6 times the second integer=  6(x+2)

= 6x+12

Sum of an integer and 6 times the next consecutive odd integer is 61

Then the equation will be

x + 6x+12 = 61

Add the like terms in the equation

(1+6)x + 12 = 61

7x +12 = 61

Move 12 to the right hand side of the equation

7x = 61-12

7x = 49

x = 49/7

x = 7

The second number is

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