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
hichkok12 [17]
1 year ago
8

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

ct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.Prove: The median of a trapezoid equals half the sum of its bases.

Mathematics
1 answer:
Alekssandra [29.7K]1 year ago
8 0

In the given figure we can determine the coordinate of point M from the graph, we get:

M=(\frac{d}{2},\frac{c}{2})

We can also determine the coordinates of point N as:

N=(\frac{a+b}{2},\frac{c}{2})

Now, to determine the length of segment MN, we need to subtract the x-coordinate of M from the coordinates of N, we get:

MN=\frac{a+b}{2}-\frac{d}{2}

Subtracting the fractions we get:

MN=\frac{a+b-d}{2}

Now, to obtain the length of AB we need to subtract the x-coordinate of A from the x-coordinate of B.

The coordinates of A are determined from the graph:

A=(0,0)

The coordinates of B are:

B=(a,0)

Therefore, the length of segment AB is:

AB=a

Now we do the same procedure to determine the segment of CD. The coordinates of C are:

C=(b,c)

The coordinates of D are:

D=(d,c)

Therefore, CD is:

CD=b-d

Now, we determine MN as half the sum of the bases. The bases are AB and CD, therefore:

MN=\frac{1}{2}(a+b-d)

Therefore, we have proven that the median of a trapezoid equals half the sum of its bases.

You might be interested in
Plz help I'm just having a brain fart right now<br><br>​
Wittaler [7]

Answer:

x=11

Step-by-step explanation:

For extra help the second answer is: 7a(3-a)

4 0
3 years ago
3^4 x 3^8= 3 to the power of what
Katen [24]

Answer:

3^12

Step-by-step explanation:

When the whole numbers are the same, add the exponents

6 0
3 years ago
What is the volume of this rectangular prism?
s344n2d4d5 [400]

Answer: 48 cubic units

Step-by-step explanation: length x width x height

8 x 2 x 3 which equals 48

6 0
3 years ago
True or false<br> The solution set of 2x+5=x-3is {-8}
irinina [24]

Answer:

True

Step-by-step explanation:

2x+5=x-3 is (-8)

This is the correct answer

3 0
3 years ago
Read 2 more answers
[5x+10y+15z=60<br> [2x+4y+6z=60<br> [x+2y+3z=60
Alla [95]

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The equations are inconsistent. The set of equations reduces to ...

  x + 2y + 3z = 12

  x + 2y + 3z = 30

  x + 2y + 3z = 60

No values of x, y, and z can satisfy all three equations. There is no solution.

4 0
2 years ago
Other questions:
  • Please help me with these 2 problems ASAP! Tysm!
    6·1 answer
  • Solve for m.<br><br> 5m+72=−2m+52
    11·2 answers
  • Find the pattern for the sequence and use it to show the next two terms. 5, 20, 80, 320...
    6·1 answer
  • A 4ft piece of pipe needs to be divided into pieces that are 2/3ft long. How many pieces are made? How many remaining?
    15·1 answer
  • What is -3 divided by 1/6
    15·2 answers
  • Each student in mrs.knotts class is making a miniature kite. The teacher needs to know how much fabric will be needed to cover t
    14·2 answers
  • Find the perimeter of the parallelogram shown.<br> A) 36 cm<br> B) 40 cm<br> C) 46 cm<br> D) 54 cm
    10·1 answer
  • Due to a sale at Macy's you only have to pay 2/3 of the original price of a blouse. your price AFTER the discount $120. What was
    9·1 answer
  • Heeeeeeeeeeellllllllllllllllllllllllllllpppppppppppppppppppppp
    6·1 answer
  • The area of a rectangle with a height of 2 and a width of 5x^2-2x+3
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!