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
natka813 [3]
3 years ago
5

ABCD is a trapezoid with median EF. a. AB = 15, DC = 11, then EF = ? b. EF = 14, DC = 10, then AB = ? c. EF = 18, AB = (5n - 9),

and DC = (2n + 3). Find n, AB, and DC. d. EF = (2y + 4), AB = (5y + 2), and DC = (-3y + 8). Find y, EF, AB, and DC.
Mathematics
1 answer:
Reptile [31]3 years ago
5 0
The median of the trapezoid is the average of the bases. If we draw the trapezoid that is being described in this item, we will deduce that AB and DC are the bases and EF is given to be the median.

 For this item,
                        EF = (AB + CD) / 2

Part A:
                      EF = (15 + 11) / 2 = 13

Part B:
                      AB = 2EF - CD
                      AB = (2)(14) - 10 = 18

Part C:
                       18 = ((5n - 9) + (2n + 3))/2
                        18 = (7n - 6) / 2
                                 n = 6

Part D:
                  2y + 4 = ((5y + 2) + (-3y + 8))/2

                     y = 1

EF = 2(1) + 4 = 6
AB = (5(1) + 2 = 7
AB = -3(1) + 8 = 5

You might be interested in
George and Cameron went on a bycicle trip. They took a bus to their starting point, and then biked the rest. They traveled 325 k
pashok25 [27]

Answer:

Step-by-step explanation:

Let the distance travelled by bus be x and the distance travelled be bike be (x+75)

Finally

x + (x+75) = 325

2x = 250

x= 125

5 0
3 years ago
Which of these expressions is not equivalent to the others?
just olya [345]
Normally You would need to simplify all of them, to see what their values are like.

Already from the start, however, we can see that 9n + 3 + 2 and 9n + 11 isnt the same value. Based on this, we should only need to simplify one of the other, to get either 9n + 5 or 9n + 11.

Lets pick the upper one.

(4n + 3) + 5n + 8 - 6
4n + 3 +5n + 2
9n + 5.

This indicated that 9n+11 is the odd one.

To make sure, we can solve the next one:
(4n + 5n) + (3 + 8 - 6)
9n + 5
Which indicated the same thing.

9n+11 is the "outsider", which means:

9n + 11 is the correct answer for this task.

4 0
3 years ago
Select the correct answer from each drop-down menu.
astraxan [27]

Answer: Pt1= Only x=5

              Pt2=Is not x=5 is an extraneous solution though I believe It is x=-2 is an extraneous solution

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Select from the drop-down menu to correctly identify the property shown.
tatuchka [14]
Commutative Property. I did this last year. Trust me
7 0
3 years ago
Read 2 more answers
Look at the image please help I’m struggling
Monica [59]

Answer:

Step-by-step explanation:

rise over run

from the bottom to where the point is

From (0,0) to (4,3)

you rise 3 and run 4

So I think the Slope is 3/4

7 0
3 years ago
Other questions:
  • What is being done to the variable in the equation m/5 = -40?
    5·2 answers
  • Which expression is equivalent to (3−22)+5?
    14·1 answer
  • Fourteen students in Mr. Burton’s class are girls. This is 60% of his class. How many students are in his class?
    9·1 answer
  • Which equation represents the proportional relationship between the cost, t, in dollars, of p pounds of wood bought?
    7·2 answers
  • 17. Distance to Work Johnny gets to work in 20 minutes
    9·1 answer
  • Please help! Find x if 2(x+1)=x+5
    13·2 answers
  • I'm not exactly sure what I'm supposed to be doing, so if someone could help me out. That'd be great.
    8·1 answer
  • The grass is the number of gallons of white paint that were mixed with gallons of blue paint and various different ratios the nu
    13·2 answers
  • Find the roots for the above given quadratic equation.<br><br> Please show the working too.
    11·2 answers
  • Can someone please help me to find the remainder when f(x) is divided by (x^2-4)?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!