1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Complete the square to transform the quadratic equation into the form
faltersainse [42]

The square of a binomial is written like

(x\pm a)^2 = x^2\pm 2ax + a^2

In your case, you have 2ax=-8x, which implies a=-4

So, we want to write

(x-4)^2 = x^2-8x+16

But our left hand side is

x^2-8x-10

If we add 26 to both sides, we have

x^2 - 8x - 10 +26 = 18+26 \iff x^2-8x+16=44 \iff (x-4)^2=44

7 0
3 years ago
Which expression is equivalent to
zmey [24]
The answer is B because reread the question
4 0
2 years ago
Read 2 more answers
Solve for X:
galben [10]

Answer:

A. -61/9

Step-by-step explanation:

(7x + 28) + (7x +28) = 5x - 5 . . . . . . . given equation

14x +56 = 5x -5 . . . . . . . . . . . . . . . . . collect terms

9x = -61 . . . . . . . . . . . . . . . . . . . . . . . . subtract 5x+56

x = -61/9 . . . . . . . . . . . . . . . . . . . . . . . . divide by the coefficient of x

4 0
3 years ago
Read 2 more answers
what is the answer here 90 student went to the zoo, 3 had hamburger milk and cake; had 5 milk and hamburger; 10 had cake and mil
dangina [55]

Answer:

a) 37

b) 2

c) 17

d) 8

Step-by-step explanation:

90 Students went to the zoo. 3 had hamburger, milk and cake; 5 had milk and hamburger, 10 had cake and milk; 8 had cake and hamburger; 24 had hamburger; 38 had cake; 20 had milk. How many had a. nothing b. cake only c. milk only d. hamburger only

Solution:

Let h represent students that ate hamburger, m represent students that had milk and c represent students that had cake.

Given that:

n(h ∩ m ∩ c) = 3, n(m ∩ h) = 5, n(c ∩ m) = 10, n(c ∩ h) = 8, n(h) = 24, n(c) = 38, n(m) = 20

The number of students that had nothing = n(h  ∪ m ∪ C)'

The number of students that had only milk = n(m ∩ h' ∩ C')

The number of students that had only cake = n(m' ∩ h' ∩ C)

The number of students that had only hamburger = n(m' ∩ h ∩ C')

a) n(m ∩ h' ∩ C') = n(m) - n(m ∩ h) - n(c ∩ m) - n(h ∩ m ∩ c) = 20 - 5 - 10 - 3 = 2

n(m' ∩ h ∩ C') = n(h) - n(m ∩ h) - n(c ∩ h) - n(h ∩ m ∩ c) = 24 - 5 - 8 - 3 = 8

n(m' ∩ h' ∩ C) = n(m) - n(m ∩ c) - n(c ∩ h) - n(h ∩ m ∩ c) = 38 - 10 - 8 - 3 = 17

n(m ∩ h' ∩ C') + n(m' ∩ h ∩ C') + n(m' ∩ h' ∩ C) + n(h  ∪ m ∪ C)' + n(h ∩ m ∩ c) + n(m ∩ h) + n(c ∩ m) + n(c ∩ h) = 90

2 + 8 + 17 + 5 + 10 + 8 + 3 + n(h  ∪ m ∪ C)' = 90

53 + n(h  ∪ m ∪ C)' = 90

n(h  ∪ m ∪ C)' = 37

b) n(m' ∩ h' ∩ C) = 17

c) n(m ∩ h' ∩ C') = 2

d) n(m' ∩ h ∩ C') = 8

4 0
2 years ago
Which of the following is NOT a requirement of testing a claim about two population means when 1 and 2 are unknown and not assum
andrey2020 [161]

Answer:

The correct answer is D because they are unknown

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Find the coordinates for the midpoint of the segment with endpoints given.
    15·1 answer
  • Using a sheet of graph paper, solve the following system of equations graphically. Be sure to show any work, use a straight edge
    9·1 answer
  • Which phrase describes the algebraic expression 52-2?
    5·1 answer
  • Can I get help with this
    6·1 answer
  • Abdul is making a smoothie of 10 veggies. He has 12 to choose from. How many different smoothies can Abdul make?
    13·1 answer
  • What is the area of the figure?
    7·1 answer
  • Need Help I plsssssssssssssss
    8·2 answers
  • The figure shown consists of a rectangle and quarter circle ?
    9·1 answer
  • 1. What is the slope of a line that is parallel to the line represented by the equation 3x + 4y = 12?
    11·1 answer
  • there are 15 pieces of fruit in a bowl and 6 are them are apples. what precentage of pieces of fruit in the bowl are apples
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!