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
spin [16.1K]
3 years ago
5

E is the midpoint of DF, DE = 3x + 4 and EF = 5x - 2. Find DE, EF, and DF.

Mathematics
1 answer:
Alisiya [41]3 years ago
8 0

Since E is the midpoint of DF, DE and EF are two halves of DF. First, let's write down what we know.

DE = 3x + 4

EF = 5x - 2

DE = EF

DE + EF = DF

Now, let's plug our values for DE and EF into our first expression.

3x + 4 = 5x -2

Add 2 to both sides and subtract 3x from both sides.

6 = 2x

Divide both sides by 2

3 = x

Let's plug 3 in for x into DE.

DE = 3x + 4 = 3(3) + 4 = 9 + 4 = 13

DE = EF = 13

We can plug 13 in for DE and EF to get DF

DF = DE + EF = 13 + 13 = 26

You might be interested in
HELP ASAP.<br><br> please help the best answer gets brainliest
Aleonysh [2.5K]

Answer:

She should have cross multiplied.

Step-by-step explanation:

-2.125, or 17/8, is the correct answer

4 0
2 years ago
Read 2 more answers
What is the equation of the line shown in this graph?
Grace [21]

Answer:

x=-2

Step-by-step explanation:

It is a straight line when x=-2 :)

8 0
3 years ago
اسحب الإجابة الصحيحة إلى مكانها المناسب.
Inessa [10]
Mstwa do you know the meaning of this
4 0
2 years ago
Read 2 more answers
A rectangle is shown with length x plus 10 and width 2 x plus 5. The inside of the rectangle is shaded other than an unshaded sq
klio [65]

Answer:

Step-by-step explanation:

A rectangle is shown with length x plus 10 and width 2 x plus 5.

so the rectangle area = length * width

= (x + 10) * (2x + 5)

an unshaded square with length x plus 1 and width x plus 1

so the unshaded square area = (x + 1) * (x + 1)

the shaded area = rectangle area - square area

= (x + 10) * (2x + 5) - (x + 1) * (x + 1)

= (2x^2 + 20x + 5x + 50) - (x^2 + x + x + 1)

= x^2 + 23x + 49

3 0
3 years ago
Read 2 more answers
Is how tall the empire state building a statistical question​
Montano1993 [528]

Answer:

At its top floor, the Empire State Building stands <u>1,250 feet (380 meters)</u> tall. Counting the spire and antenna, the building clocks in at a mighty 1,454 feet (443 meters).

7 0
2 years ago
Read 2 more answers
Other questions:
  • The longest side of the right triangle is 2 feet more than the middle side and the middle side is 1 foot less than twice the sho
    5·1 answer
  • Three tickets to a concert cost $54. How much do 7 tickets cost? A. $58 B. $72 C. $108 D. $126
    8·2 answers
  • Solve for a. 4(a 3)=12 4a a. no solution b. all real numbers c. −3 d. −1
    11·2 answers
  • √18+4√2<br><br><br> Can you solve this for me please??
    5·2 answers
  • Write the ratio 2/3 to 10 as a fraction in simplest form
    11·1 answer
  • Graph the system below and write its solution.
    9·1 answer
  • Find a “solution” for an equation with two variables. Tell me an x, y ordered pair that is a solution (answer) for this equation
    15·1 answer
  • A financial product with low interest rate, low risk and immediate access to withdraw money
    14·1 answer
  • A function is shown in the table below. If included in the table, which ordered pair would result in a relation that is no longe
    6·1 answer
  • In this unit, you solved two-step equations. A two-step equation is an equation of the form px + q = r. It takes two steps to so
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!