Use the figure at the right. If BE = 3x + 6 and DF = 7x +4, find DF.

Answers

Answer 1

Line segments can be divided into sub-segments.

The value of DF is 18

The given parameters are:

[tex]\mathbf{BE = 3x + 6}[/tex]

[tex]\mathbf{DF = 7x + 4}[/tex]

We have:

[tex]\mathbf{BE + DF = 30}[/tex]

So, we have:

[tex]\mathbf{3x + 6 + 7x + 4 = 30}[/tex]

[tex]\mathbf{10x + 10 = 30}[/tex]

Subtract 10 from both sides

[tex]\mathbf{10x = 20}[/tex]

Divide both sides by 10

[tex]\mathbf{x = 2}[/tex]

Substitute [tex]\mathbf{x = 2}[/tex] in [tex]\mathbf{DF = 7x + 4}[/tex]

[tex]\mathbf{DF = 7 \time 2 + 4}[/tex]

[tex]\mathbf{DF = 14 + 4}[/tex]

[tex]\mathbf{DF = 18}[/tex]

Hence, the value of DF is 18

Read more about line segments at:

https://brainly.com/question/17313387


Related Questions

Can someone tell me the answer to this please

Answer choice D is incorrect

Answers

Answer:

B) dilation of 1.5

Step-by-step explanation:

yes

Answer:

Dilation of 1.5

Step-by-step explanation:

The way I do these equations is pick one coordinate axis and work with that. So for point K, it goes from X & Y coordinate 1 to 1.5, Point I goes from Y coordinate 2 to 3, and Point J goes from y coordinate 2 to 3 again.

9)Jason drove 20 miles in 2 hours.How many
miles did Lisa drive in one hour?
10) How many hours did Jason take to drive one
mile?

Answers

Answer:

10 min. to drive one mile

Step-by-step explanation:

hope this helps

Dallia earns $108.75 for working 15 hours as a holiday helper for wrapping gifts. At this rate how much money will she earn if she works 18 hours the next week? Explain

Answers

She will earn $130.5 dollars.

First we find how much she makes per hour.
108.5/15=$7.25 per hour.

Then we take $7.25 per hour and she will work 18 hours next week so,
7.25•18=130.5 considering the same rate.

Now we can also make an equation which is,
7.25x=y in which x is the number of hours worked and y is the amount earned.
7.25(18)=130.5 :)

(LCD) 5/8 of and 1/20

Answers

Answer:

40

Step-by-step explanation:

LCM OF 8 and 20 is:

8 = 2 * 2 * 2

20 = 2 * 2 * 5

LCM = 2 * 2 * 2 * 5

        = 40

Hence, the LCD is 40

Feel free to mark this as brainliest! :D

Show that 3650 is not a perfect square.​

Answers

Answer:

A number that is a perfect square never ends in 2, 3, 7 or 8. If your number ends in any of those numbers, you can stop here because your number is not a perfect square. Obtain the digital root of the number. The digital root essentially is the sum of all of the digits.

Step-by-step explanation:

hope this helps you super sorry if it does not

Answer:

3650 is not a perfect square as it equals 60.415229868

Step-by-step explanation:

guys pls help me!!!!!!

Answers

Answer:

136 degrees

Step-by-step explanation:

136 degrees + 44 degrees = 180 degrees

Answer:

x = 136 degrees

Step-by-step explanation:

180 - 44 = 136

Both angles are supplementary

A sample of a radioactive isotope had an initial mass of 650 mg in the year 1994 and
decays exponentially over time. A measurement in the year 1996 found that the
sample's mass had decayed to 570 mg. What would be the expected mass of the
sample in the year 2005, to the nearest whole number?

Answers

Answer:

316

Step-by-step explanation:

I got the question wrong and it gave me this answer lol

What is the value of |PS|​

Answers

Answer:

if i draw a line from s ro hg then its value should be 12 cm. and should form a right angle triangle. it is not fulfilling pytgogerous property..

Write 77^1/10 in the form
n√77 where n is a whole number.

Answers

Answer:

[tex]\sqrt[10]{77}[/tex]

Step-by-step explanation:

[tex]77^\frac{1}{10}[/tex] is the same as [tex]\sqrt[10]{77^1} ,[/tex] or simply [tex]\sqrt[10]{77}[/tex]

77^1/10 can be written as [tex]\sqrt[10]{77}[/tex]

what is representation of root?

The principal nth root of a is written as n√a , where n is a positive integer greater than or equal to 2. In the radical expression, n is called the index of the radical.

A radical symbol √ is used to represent a square root; the number or expression included within the radical symbol, designated by the letter a below, is known as the radicand.

We have that [tex]77 ^ {1/10}[/tex].

Now, if we have given that √4 we can write it as [tex]\sqrt[2]{4}[/tex]

Again, if we have [tex]7^{1/3}[/tex] we can write it as [tex]\sqrt[3]{7}[/tex]

Similarly we can write 77^1/10 as  [tex]\sqrt[10]{77}[/tex]

Learn more about root representation here:

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#SPJ2

Help me please show me step by step how to do this it is due soon

Answers

Answer:

9x-2=5x+54

9x-5x=54+2

4x=56

4x/4=56/4

x= 14

180-124=56°

10y+6=56

10y=56-6

10y=50

10y/10=50/10

y=5

Which one of the following graphs best represents the equation shown?
y = -x^2 + 3

Answers

Ive never done this but i think its option 3

i need help with geometry plz

Answers

Answer:

Point A is -2, 1

Point B is -4, -2

Point C is -4, -6

and D is -1, 3.

Step-by-step explanation:

Irdk if this is all right bcz its kinda hard to see the exact points. Hope it is tho, and hope it helps you out! Good luck :P

What is the measure of angle "K" in the triangle pictured
below:

Answers

Answer:

K = 30°

Step-by-step explanation:

K = 180 - (35+115)

K= 180 - 150

K =30

K= 180-115-35
K= 30

Why a triangle angles add up to 180 degrees because one exterior angle is equal to the sum of the other two angles in the triangle.

The sum of three consecutive odd integers is 237.what are the integers

Answers

Answer:

let the 1st number be x

then second number is x+2

then third number is x+2+2

according to question

sum of three consecutive odd integers is 237.

hence, x+x+2+x+2+2=237

3x+6=237

3x=237-6

3x=231

x=231/3

x=77

therefore 1st integer is 77

2nd integer is 77+2=79

3rd integer is 77+2+2=81

Answer:

77, 79, 81

Step-by-step explanation:

You can represent the equation as follows:

x + x + 2 + x + 4 =237

Combine like terms.

3x + 6 = 237

Subtract 6 from both sides.

3x = 231

Divide both sides by 3.

x = 77

Now, add 2 to 77 to determine the second integer.

77 + 2 = 79

Add 4 to 77 to determine the third integer.

77 + 4 = 81

PLEASE HELP URGENT SORRY FIR QUILTY

Answers

Answer:

-25

Step-by-step explanation:

[tex]-15/\frac{3}{5}[/tex] [tex]-15 * \frac{5}{3}[/tex] [tex]\frac{-75}{3}[/tex] [tex]-25[/tex]

Jenna is having her birthday party at the ice cream palace. The ice cream party palace charged 2.49 for each ice cream cone and 24.99 for a birthday cake jenna decides to buy a birthday cake and an ice cream cone for each of her friends. jenna needs to determine the total cost for her birthday party

how can i put this in a graph and a table

Answers

Answer:

y=2.49x+24.99

Step-by-step explanation:

y= Total cost of her birthday party

2.49= The price of each ice cream cone

x= The number of ice cream cones she buys

24.99 = The price of the birthday cake

Is 7 a factor of 49r + 7?
yes
no

Answers

Answer:

yes

Step-by-step explanation:

49r+7

7(7r+1)

7*7=49

7+1=7

You move left 6 units. You end at (-4, 4). Where did you start?
(you need a coordinate plane)

Answers

Answer:

(2,4)

Step-by-step explanation:

Step 1: Understand the question

We know moving left DECREASES the x value and moving right INCREASES the x value.

We need to move 6 units back to the right to get the original coordinate

Step 2: Solve

(-4 + 6, 4)

(2, 4)

Step 3: Therefore statement

Therefore you started at (2, 4)

HELP ASAP! Pls and thx! Need help.

Answers

Answer:

y = -3x + 22

Step-by-step explanation:

To find m, find the change in y and divide it by the change in x.

For example, the change in y between 19 and 13 is -6. Then determine the change in x. For example, since we determined the change in 19 and 13, let's look at the change in the x coordinates that pair with 19 and 13: 1 and 3. The change in x between 1 and 3 is 2. Now divide the change in y by the change in x: -6/2 = -3. So now we have the equation y = -3x + b, but we still need to figure out b, or the y-intercept. To do this, we need to figure out a pattern in the table to find out what y is equal to when x = 0, the definition of a y-intercept. From just the table alone, it looks like for every 2 units the x-coordinate decreases, the y-coordinates increases by 6. We could also just as easily say that for every 1 unit the x-coordinate decreases, the y-coordinate increases by 3. From this definition, if we look at the coordinate (1, 19), if we were to decrease 1 from the x-coordinate, we would have to increase the y-coordinate by 3 which we can write as (x - 1, y + 3). So, we would get (0, 22). So, when x = 0, y = 22.

Are the triangles similar or congruent

Answers

similar!

congruent means they are the exact same shape.

These triangles are similar :)

This week Oreo cookies are on sale: 2 packages for $5.
Normally, Oreo cookies cost $3.29 per package. How
much money will Sally save if she buys 4 packages of
Oreos this week instead of next week?

Answers

Sally will save $3.16 if she buys 4 packages of oreos this week.
THIS week 4 packages of Oreos will cost Sally $10. This is because 2 packages cost $5 dollars, but Sally is buying twice the amount of packages(which means the price will also be twice the amount it is). NEXT week, the 4 packages will cost sally $13.16. This is because, without the sale one package of oreos cost $3.29. The price will be multiplied by 4 because sally is buy 4 packages. To find how much money Sally is saving on Oreos by buying them during the sale, just subtract the cost of the cookies during the sale from the cost of the cookies regularly. ($13.16 - $10 = $3.16) Sally is saving $3.16 dollars

Find the equation of the line that passes through the point (4,13) and is perpendicular to the equation below.

y = 4x - 6

Answers

Answer: m=4

Slope of 4x-6 is m=4

Help please, totally don't know the answer to this.

Answers

Answer:

5 shirts

Step-by-step explanation:

30.60 / 6.12 = 5

5 shirts because $6.12 x 5 gives you $30.60

HELP ASAP GIVE AN EXPLANAYION.
Starla said it is not possible to a perfect square that is a negative number. Do you agree? Explain.

Answers

A perfect square is a number such as 4,9 and 16 that is the product of an integer(whole number) multiplied by itself. For example 4 is the product of 2*2.

A number cannot be negative if an even amount of numbers are negative that are being multiplied by each other. Thus a perfect square cannot be negative. Even if you multiply two negative numbers the product is positive.

2 1/6 - (-8/3) + (-4 7/9)

Answers

Step-by-step explanation:

please mark me as brainlest

What is the point-slope form of a line that has a slope of 5 and passes through the point (3, –4)?

Answers

Answer:

y + 4 = 5(x - 3)

Step-by-step explanation:

y + 4 = 5(x - 3)

Scott is a painter who is paid a normal rate of $36.80 per hour plus a height allowance of $21 per day. If Scott works 9 hours per day for 5 days on a tall building, calculate his total earnings.

Answers

Answer:

$1761

Step-by-step explanation:

9*5=45

36.80*45=1656

21*5=105

1656+105=1761

what is 6xy . 12 over x 100 over 6

Answers

Simplifying
X2 + -6xy + -12 = 0

Reorder the terms:
-12 + X2 + -6xy = 0

Solving
-12 + X2 + -6xy = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '12' to each side of the equation.
-12 + X2 + 12 + -6xy = 0 + 12

Reorder the terms:
-12 + 12 + X2 + -6xy = 0 + 12

Combine like terms: -12 + 12 = 0
0 + X2 + -6xy = 0 + 12
X2 + -6xy = 0 + 12

Combine like terms: 0 + 12 = 12
X2 + -6xy = 12

Add '6xy' to each side of the equation.
X2 + -6xy + 6xy = 12 + 6xy

Combine like terms: -6xy + 6xy = 0
X2 + 0 = 12 + 6xy
X2 = 12 + 6xy

Simplifying
X2 = 12 + 6xy

Reorder the terms:
-12 + X2 + -6xy = 12 + 6xy + -12 + -6xy

Reorder the terms:
-12 + X2 + -6xy = 12 + -12 + 6xy + -6xy

Combine like terms: 12 + -12 = 0
-12 + X2 + -6xy = 0 + 6xy + -6xy
-12 + X2 + -6xy = 6xy + -6xy

Combine like terms: 6xy + -6xy = 0
-12 + X2 + -6xy = 0

The solution to this equation could not be determined.

Right answer gets brainlyest

Answers

Answer:

Answer A

Step-by-step explanation:

hope this helps uwu

The correct answer is B :)

Solve the following equation:
z+9/3(z+5) = -2​

Answers

Answer:

Hence, the value of z is -39/7.

Step-by-step explanation:

[tex]\sf \leadsto \dfrac{z + 9}{3(z + 5)} = -2[/tex]

[tex]\sf \leadsto \dfrac{z + 9}{3z + 15} = -2[/tex]

[tex]\sf \leadsto z + 9 = -2(3z + 15)[/tex]

[tex]\sf \leadsto z + 9 = -6z - 30[/tex]

[tex]\sf \leadsto z + 6z = -30 - 9[/tex]

[tex]\sf \leadsto 7z = -39[/tex]

[tex]\sf \leadsto z = \dfrac{-39}{7}[/tex]

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