Point E is between segment DF. The length of DE is 3x - 1, EF is 13 and DF is 6x, find DF.

Answers

Answer 1

Answer:

The correct answer to this problem is x = 4.

Step-by-step explanation:

To solve this problem, we can set up an equation using the given information.  We know that Point E lies along the segment DF, so we can write:

DE + EF = DF

Now, we can substitute the values given into our equation.

(3x-1) + (13) = 6x

The next step is to eliminate the parentheses and combine like terms on the left side of the equation.

3x - 1 + 13 = 6x

3x + 12 = 6x

Next, we should subtract 3x from both sides to move all of the variable terms to the right side of the equation.

12 = 3x

Finally, we can divide both sides by 3, in order to completely isolate the variable x on the right side of the equation.

4 = x

Therefore, the correct answer is x = 4.

Hope this helps!


Related Questions

1. What is the solution for 2x-5=7

O x = 6
O x = -6
X = 12
O x = 9

Answers

Given, equation in the question which we have to solve is

[tex]2x - 5 = 7[/tex]

Here, we need to find x. So, Let's isolate x on one side of the equation. It is present in the left hand side. Add 5 to both sides,

[tex]2x - 5 + 5 = 7 + 5[/tex]

[tex]2x = 12[/tex]

Divide 2 from both sides,

[tex] \frac{2x}{2} = \frac{12}{2} [/tex]

[tex]x = 6[/tex]

So, the correct option is A.

━━━━━━━━━━━━━━━━━━━━

What is the slope of the line that connects the points
(-2,6) and (4,0) ?

Answers

Answer:

[tex]m=-1[/tex]

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in the 2 coordinates into the slope formula to find slope m:

[tex]m=\frac{0-6}{4-(-2)}[/tex]

[tex]m=\frac{-6}{4+2}[/tex]

[tex]m=\frac{-6}{6}[/tex]

[tex]m=-1[/tex]

Find the midpoint of the segment with the following endpoints.
(-5,5) and (-10,2)

Answers

Answer: did you ever get the answer? i’m doing the same problem rn and i have no idea

Step-by-step explanation:

Five roses cost $25 how many Roses can you purchase for $75

Answers

You can purchase 15 roses for $75

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:

16

Step-by-step explanation:

I counted each of the cubes and got 64.

Then I divided it by 4 since you need to divide it be 1/4.

once I divided 4 for 64 I got 16.

You have to multiply 2x4x8 which is 64. Divide 64 by 4 and thats 16. The answer is 16.

Please help brainiest

Answers

the measure is d which is 65

Answer: The answer is C. 60

Step-by-step explanation:

you have to subtract the known angles to find the missing angles opposite angle. 180-60-70=130 then look at the line KM, it has to equal 180 so subtract the angle we just got to get the other angle 180-130=60

a pet store has 7 cats here are their weights 12, 12, 9, 16, 11, 11, 9 find the mean weighy of these cats ​

Answers

Answer:

The mean weight of the cats is 11.42 (rounded)

Step-by-step explanation:

To find the mean, you add up all the weights (12, 12, 9, 9, 11, 11, 16) and then divided the sum (80) of the weights by the number of cats (7)

12+12+9+9+11+11+16= 80

80 ÷ 7= 11.42857143 (I rounded my answer to 11.42)

I hope this was helpful. Have a wonderfull rest of your day!

CAN SOMEONE PLEASE HELP. SEGMENTS GEOMETRY

Answers

Answer: 30

We will 5x+3x=48 simplified it’s 8x=48 divide 8 from both sides and get x=6 plug it in
RS= 5(6)= 30

Is 7, 695 divided by 855 positive or negative?

Answers

Answer:

Negative

Step-by-step explanation:

A positive divided by a negative will always be negative.

Answer:

if they are both positive its positive

if ones positive and ones negitive its negative

if they are both negative its positive

Step-by-step explanation:

An equation is shown below:

−2(4x − 1) − 7 = 5

Which statement shows a correct next step in solving the equation?

Answers

-2(4x-1)=5+7
(4x-1)=12/-2
4x=-6+1
x=-5/4

Answer:

Distribute -2 into (4x-1) to get rid of the parenthesis.

Step-by-step explanation:

The first thing you should to in solving for 'x'  is to get rid of the parentheses by distributing.

[tex]-2(4x-1)-7=5\\\\-8x-2-7=5[/tex]

Of course, you would also combine like terms to completely simplify the equation to solve for x.

[tex]-8x-9=5[/tex]

Hope this helps.

I NEED HELP ASAP PLEASEEE
Evaluate the expression for r = 5.
2r2 − 10r + 40 + 2r =

Answers

Are you looking for what the answer to the equation because that is 212

Answer:

50

Step-by-step explanation:

[tex]2( {5}^{2} - 10 \times 5 + 40 + 2 \times 5) \\ = 2(25 - 50 + 40 + 10) \\ = 50[/tex]

What is the product of (negative 6) (negative 7) (negative 1)?
–42
–14
14
42

Answers

Answer:THE CORRECT ANSWER IS (A. -42)

plz mark as brainliest

Answer:

-42

Step-by-step explanation:

took the test on edge

Asher please $156 every six weeks for piano lessons what is the price per year for piano lessons

Answers

You would first learn how many weeks there are in a year which is 52
So you would multiply 52x156
Which equals 8112
Asher pays $8112 per year for piano lessons

Help me with this pls

Answers

Answer:

x=55, and y=62.5

Step-by-step explanation:

The reason why x=55 is because x and the angle 125 degrees form a linear pair (180 degrees) Hence,

x+125=180

=> x=180-125

=> x=55

Now coming to y, As we see y and 125 do not form a linear pair, so we know that x=the top angle of the triangle in which angle y is there. And with the information we also find that the triangle in which y is present is an isosceles triangle, so the other 2 angle  than the top angle are equal, which are y and another angle which is also y as they are the same degrees. Hence, we know x=55, then,

55+2y=180(As the angles in a triangle sum up to 180 degrees)  

=> 2y=180-55

=> 2y=125

=> y=125/2

=> y=62.5

Hope my answer helps, Thank you!

HELPP PLZ LIKE RIGHT NOW

Answers

Answer:

[tex]( - 4 \: - \frac{1}{2} ) \: or \: \\ ( - 4 \: - 0.5)[/tex]

Step-by-step explanation:

According to the graph,

[tex](5,-4)=(x_1,y_1) \\

(-3,3)= (x_2, y_2)[/tex]

Midpoint= Image above

What is the slope of the line parallel to y = 3x + 2
Zero
1
3
3
-3

Answers

Parallel lines have slopes which are equal to each other.

We know that y = 3x + 2 has a slope of 3, therefore, the line parallel to y = 3x + 2 has a slope of 3.

If ray US is an angle bisector of ∠RUT, find m∠RUT. A. m∠RUT = 80° B. m∠RUT = 40° C. m∠RUT = 20° D. m∠RUT = 10°

Answers

Answer:

Answer: m<RUT=80

Step-by-step explanation:

took the test

If ray US is an angle bisector of ∠RUT, m∠RUT = 80°.

What is a bisector in the triangle?

The angle bisector of an angle of a triangle is a straight line that divides the angle into two congruent angles. The three angle bisectors of the angles of a triangle meet in a single point, called the incenter.

What is the angle bisector formula?

According to the angle bisector theorem, PQ/PR = QS/RS or a/b = x/y. An angle bisector is a line or ray that divides an angle in a triangle into two equal measures.

Learn more about angle bisector here https://brainly.com/question/24334771

#SPJ2

Timothy puts $1,500 into a savings account. He receives a 1.35% interest rate from his bank.
If he does not add any money to the account and only collects interest, how much will have have by the time he graduates from high school 40 months later ?

Answers

Answer:

$2310

Step-by-step explanation:

1500*1.35%=20.25 each month

20.25*40=810

1500+810=2310

9x+y=8 solve for y I dont know how to get y by itself im very confused pls hellp

Answers

Answer:

Hey angel i have missed talking to you on padlet and i hope we are still friends

Step-by-step explanation:

Step-by-step explanation:

subtract 9x from both sides

y = -9x+8

Please help me to solve the question!​

Answers

Answer:  (x - 3)² + (y + 0.5)² = 3.25    →    [tex](x-3)^2+\bigg(y+\dfrac{1}{2}\bigg)^2=\dfrac{13}{4}[/tex]

Step-by-step explanation:

Concentric means they have the same center but different radii.

The equation of a circle is:  (x - h)² + (y - k)² = r²    where

(h, k) is the center of the circler is the radius of the circle

Complete the square to find the center of the circle

x² - 6x + _____  + y² + y + _____ = 1 + ____ + ____

    ↓                              ↓

-6/2 = -3                    1/2 = 1/2

Equation: (x - 3)² + (y + 1/2)² = r²

Since the circle passes through point (x, y) = (4, -2), input that into the equation to find r².

(x - 3)² +  (y + 1/2)² = r²

(4 - 3)² + (-2 + 1/2)² = r²

  (1)²    +  (-3/2)²    = r²

   1      +     9/4      = r²

                 13/4     = r²

Equation: (x - 3)² + (y + 1/2)² = 13/4    →   [tex](x-3)^2+\bigg(y-\dfrac{1}{2}\bigg)^2=\dfrac{13}{4}[/tex]

In decimal form: (x - 3)² + (y + 0.5)² = 3.25

A student runs 100 meters in 11 seconds. What is the speed of the student in miles?

Answers

Answer:

0.00565 miles / second

Step-by-step explanation:

1 mile = 1609.344 meters

100 meters = 100/1609.344 = 0.0621 miles    (aprox)

100 meter/ 11 seconds = 0.0621miles / 11 seconds

= 0.00565 miles / second

4.) Solve for N
7.) Solve for F

Answers

Answer:

See Below

Step-by-step explanation:

4) t = n -r  Solve for n

Add r to both sides

t = n -r

+r     +r

t +r = n

Or  n = t+r

7) [tex]\frac{f}{g}[/tex] = h    Solve for f

Multiply both sides by g to get rid of fraction

g/1 (f/g) = h(g)

f = hg

I have an assignment due today. I need help.

If you have time to help me and your serious about it comment on this and I’ll send the problems I need help with.
Thank you

Answers

Answer:

62 m/s = 138.7 mi/h

Step-by-step explanation:

62 m/s = 62 x (3600/1000) x (1/1.61)

= 138.7 mi/h

Best Regards!

Make x the subject
3x-ax =2x+5

Answers

Step-by-step explanation:

>> ▪︎ 3x-ax=2x+5 ▪︎<< >> ▪︎ 3x-ax-2x=5 ▪︎<<>> ▪︎x(3-2-a)=5 ▪︎<<>> ▪︎x=5/1-a ▪︎<<

Answer:

Step-by-step explanation:

>> ▪︎ 3x-ax=2x+5 ▪︎<<

>> ▪︎ 3x-ax-2x=5 ▪︎<<

>> ▪︎x(3-2-a)=5 ▪︎<<

>> ▪︎x=5/1-a ▪︎<<

Show how you would set up and equation to solve for x. Then use your answer for x to find the measure of each angle! Rest is in pic

Answers

I hope this helps. If you have any questions as to why they equal each other or why we used 180 just ask

I answered the question but idk if I did it correctly *tap image to see full problem

Answers

Answer: 40

Step-by-step explanation:

66-26=40

Answer:

40 trees

Step-by-step explanation:

You started with 26 trees. At the end, you will have 66. It's not 26+66 it is 66-26=trees. Trees=40. So, the workers planted 40 trees.

- Raymond and Rose were working with exponents.

Pari A Raymond claims that 55 * 52 = 53. Rose argues that 55 - 52 = 57. Which one of

them is correct? Use the properties of exponents to justify your answer.

12/25

= 74. Rose argues that

= 745 which one of

7

Part B: Raymond claims that

75

them is correct? Use the properties of exponents to justify your answer.

Answers

This Question was not written properly

Complete Question

Raymond and Rose were working with exponents.

Part A: Raymond claims that 5⁵ * 5² =5³ Rose argues that 5⁵ * 5² = 5⁷. Which one of them is correct? Use the properties of exponents to justify your answer.

Part B: Raymond claims that 7⁹/7⁵ = 7⁴. Rose argues that 7⁹/7⁵=7⁴⁵. Which one of them is correct? Use the properties of exponents to justify your answer.

Answer:

Part A : Rose is correct

Part B : Raymond is correct

Step-by-step explanation:

Part A:

Raymond claims that 5⁵ * 5² =5³

Rose argues that 5⁵ * 5² = 5⁷.

Which one of them is correct?

Rose is correct

Use the properties of exponents to justify your answer.

Using the properties of exponents,

x^a × x^b = x^a+b

From the above question, following the above rule we have:

5⁵ * 5² = 5⁵+²

= 5⁷

Hence, Rose is correct.

Part B: Raymond claims that 7⁹/7⁵ = 7⁴. Rose argues that 7⁹/7⁵=7⁴⁵.

Which one of them is correct?

Raymond is correct

Use the properties of exponents to justify your answer.

Using the properties of exponents,

x^a / x^b = x^a-b

From the above question, following the above rule we have:

7⁹/7⁵ = 7⁹-⁵

= 7⁴

Hence, Raymond is correct.

AC CE and D is the midpoint of CE. IF CE 10x + 18, DE =7x -1, and BC = 9x - 2, find AB, AB =

Answers

Answer:

     If you mean: AC=CE, the answer is:  AB = 24

Step-by-step explanation:

D is the midpoint of CE, then

CD = DE = 0.5CE = 0.5(10x+18) = 5x + 9

So:   5x + 9 = 7x - 1

            -9          -9

        5x  =  7x - 8

        -7x      -7x

       -2x  =  -8

      ÷(-2)       ÷(-2)        

          x  =  4

AC = CE = 10x + 18 = 40 + 18 = 58

BC = 9x - 2 = 36 - 2= 34

AB = AC - BC = 58 - 34 = 24

D is the midpoint of CE, so if you draw a line with those three points, it'll look like C-D-E.

Since DE = 7x-1, which also means CD = 7x-1.

CD + DE = CE, so (7x-1)+(7x-1) = 10x+18.

Therefore, x = 5 and CE = 68.

Since AC is congruent to CE, AC = 68.

Assuming the point B is somewhere between AC.

Since BC = 9x-2 and x = 5, which means BC = 43.

AC - BC = AB, so 68 - 43 = 25.

Therefore, AB = 25

Solve the equation for y:
2x + 5y = 20

Answers

Answer:

y = [tex]\frac{20-2x}{5}[/tex]

Step-by-step explanation:

Given

2x + 5y = 20 ( isolate the term in y by subtracting 2x from both sides )

5y = 20 - 2x ( divide both sides by 5 )

y = [tex]\frac{20-2x}{5}[/tex]

The Answer will be y=4

60:£3.Give the answer in lowest terms​

Answers

Answer:

20:£1

Step-by-step explanation:

To simplify a ratio is like like simplifying a fraction

Take 4/8 as an example. Find a number you can divide both numbers with. In this case, it's 4. 4 divided by 4= 1, and 8 divided by 4= 2. So, the simplified version of 4/8 is 1/2. Similarly, with the ration 60:£3, you find the number you can divided both numbers with. In this case, it is 3. 3 divided by 3= 1, and 60 divided by 3= 20.

Final Answer: 20:£1

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