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
Masteriza [31]
3 years ago
6

Point E is on line segment DF. Given DE = 2x, EF = 2x – 6, and

Mathematics
1 answer:
Kamila [148]3 years ago
8 0

Answer:

EF is 16.  

Step-by-step explanation:

So we know that Point E is somewhere on Line DF. In other words, DE plus EF must equal DF. In an equation, this is:

DF=DE+EF

We are given that DE is 2x, EF is 2x-6, and DF is 3x+5. So, substitute:

(3x+5)=(2x)+(2x-6)

Now, solve for x.

On the right, combine like terms:

3x+5=4x-6

Subtract 4x from both sides:

-x+5=-6

Subtract 5 from both sides:

-x=-11

Divide both sides by -1:

x=11

Now that we know x is 11, substitute this back into the equation for EF to find EF.

EF=2x-6

Substitute 11 for x:

EF=2(11)-6

Multiply:

EF=22-6

Subtract:

EF=16

And we're done!

You might be interested in
A 12- foot ladder that is leaning against a wall makes a 75.5 degree angle with the level ground
viktelen [127]

Answer:option C is the correct answer.

Step-by-step explanation:

When the ladder leans against the wall, it forms a right angle triangle with the wall. The length of the ladder becomes the hypotenuse of the right angle triangle.

Since the length of the ladder is 12 foot, then

Hypotenuse = 12 foot

The angle formed by the ladder with the ground is 75.5 degrees. Therefore, the height, y which is the distance from the point where the ladder touches the wall to the foot of the wall becomes the opposite side. It would be determined by applying trigonometric ratio

Sin θ = opposite side/hypotenuse

Sin 75.5 = y/12

6 0
3 years ago
4. Two friends, Sequoia and Raven, sold organic chap sticks at the local market.
Nina [5.8K]

Answer:

Sequoia sold 2 chap sticks while Raven sold 4.

Step-by-step explanation:

Since two friends, Sequoia and Raven, sold organic chap sticks at the local market, and Sequoia sold her chap sticks for $ 4 and Raven sold hers for $ 3 each, and in the first hour, their total combined sales were $ 20, if in the first hour, the friends sold a total of 6 chap sticks between them, to determine the number of chap sticks each of the friends sold during this time the following calculation must be performed:

6 x 4 + 0 x 3 = 24

5 x 4 + 1 x 3 = 23

2 x 4 + 4 x 3 = 20

Therefore, Sequoia sold 2 chap sticks while Raven sold 4.

7 0
3 years ago
The sum of consecutive integers 1,2,3,...,n is given by the formula 1/2n(n+1). How many consecutive integers, starting with 1, m
LuckyWell [14K]

1/2 * n * (n+1) = 1081

distribute

1/2 n^2 +1/2n -1081=0

factor out 1/2

1/2 (n^2 +n -2162) =0

multiply each side by 2

(n^2 +n -2162) =0

factor

(n-46) (n+47) =0

n=46, n=-47

n cannot be negative

n=46

Answer 46


7 0
3 years ago
(10 times 2) + 5 times 8 =
DerKrebs [107]
The answer is 60 because 10 x 2 is 20 and 5 x 8 is 40 and add those together to get 60
7 0
2 years ago
What is the equation of this line?<br> Please help it’s for a test.
saul85 [17]
The equation is y=-2x+1
7 0
3 years ago
Read 2 more answers
Other questions:
  • Sally and Tyrone were arguing about the size of 2 numbers. Sally thought six-tenths was one-tenth as large as six-hundredths. Ty
    5·1 answer
  • EXTRA POINTS * how do you graph y=2x + 1
    15·1 answer
  • In the recursive formula f(n) = f(n - 1) + 5, the value of the previous term is represented by
    15·1 answer
  • What is Howard’s weekly salary to the nearest cent ?
    13·1 answer
  • There will be 10 pounds of flour put evenly into 7 sacks. How many pounds of flour will be in each sack?
    11·1 answer
  • A shampoo manufacturer makes bottles of conditioner with a volume of
    15·1 answer
  • If Joanne can paint a room in 3 hours and her sister Angela can paint the same room in 4 hours, how long (in h) would it take Jo
    5·1 answer
  • Convert 12 mm into m please help
    9·2 answers
  • A car owner buys diesel at rs 7.50, rs 8, rs 8.50 per litre for three successive years. what approximately is the average cost p
    9·1 answer
  • The projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!