In the triangle below, DF = x + 4 and AC = 4x – 6. Solve for x. Type your numerical
answer.

In The Triangle Below, DF = X + 4 And AC = 4x 6. Solve For X. Type Your Numericalanswer.

Answers

Answer 1

Answer:

x= 7

Step-by-step explanation:

Midsegment theorem!

x+4 = 1/2 (4x-6)


Related Questions

The time spent studying in hours on a daily basis of nine different students was used to create the box plot shown above. Which of the sets of times below matches the given box plot?

Answers

Answer:

B.) 0, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 1.5, 2.5

Step-by-step explanation:

From the box plot, we can obtain the 5 - Numbe summary and compare with the values in the options given :

Kindly note that each tick mark on the box plot is seperated by a unit of 0.25

Minimum = 0 (starting point of left whisker)

Lower quartile = 0.25 (start point of box)

Median = 0.5 (point in between the box)

Upper quartile = 1.25 (end point of the box)

Maximum = 2.5 (end point of right whisker)

In ascending order we have ;

0, 0.25, 0.5, 1.25, 2.5

The data which best matches the plot is 0, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 1.5, 2.5

Arrange the expressions in increasing order of their values.

Answers

Answer:

The 4th one is the least so you would put that as the first one, then the 2nd one, then the 1st one, then the 3rd one.

Step-by-step explanation:

The fourth one is first because 10 to the power of 0 is 0 times 10 to the power of 1 is still 0 minus 1 to the power of 10 is 1 so 0 minus 1 is -1. The second one is second because 10 to the power of 0 times 10 to the power of 1 is 0, times 1 to the power of 10 is still 0. The first one is third in line because 10 to the power of 0 plus 10 to the power of 1 is 10 times 1 to the power of 10 is 10. The third one is last because its the greatist, 10 to the power of 0 plus 10 to the power of 1 is 10 plus 1 to the power of 10 is 11.

The largest jaw breaker in a store is spherical with a radius of 2 in, and sells for $4.00. A
store wants to make a 6 in. radius jaw breaker. How much should they charge for this
foot long jaw breaker?

Answers

Answer:

$36

Step-by-step explanation:

1. Determine the surface area of the  largest jaw breaker

Surface area of a sphere = 4πr²

4 x 3.14 x 2² = 50.24in²

2. Determine the surface area of the new jaw breaker

4 x 3.14 x 6² = 452.16 in²

3. Determine the cost per area

4/ 50.24

4. Determine the price for the new jaw breaker

4/ 50.24 x 452.16 = $36

what is 4x+3(2x-4)=x

Answers

Answer:

x = 4/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

4x + 3(2x - 4) = x

Step 2: Solve for x

[Distributive Property] Distribute 3:                                                                 4x + 6x - 12 = x[Addition] Combine like terms:                                                                        10x - 12 = x[Subtraction Property of Equality] Subtract x on both sides:                         9x - 12 = 0[Addition Property of Equality] Add 12 on both sides:                                    9x = 12[Division Property of Equality] Divide 9 on both sides:                                  x = 4/3

Answer:

x = 1.33

Step-by-step explanation:

4x + 3(2x-4) = x

-4x                 -4x

3(2x-4) = -3x

Distribute 3 to (2x-4)

6x - 12 = -3x

-6x           -6x

-12 = -9x

/-9     /-9

1.33 = x

please help ill give brainlest or whatever omg

Answers

Answer:

Step-by-step explanation:

Hi,

I cannot see the options but for vertical compression you need to have values of a that are 0<a<1, then the graph will be compressed.

For example, if we have g(x)= 1/2 x^2 will be compressed by factor of 1/2.

PLEASE HELP!! I WILL MARK BRAINLIEST


What is the equation of this trend line enter your answers by fulling in the boxes K= J+

Answers

Answer:

K = -2J + 24

Step-by-step explanation:

Find two point of the line

(12,0) ; (10,4)

Use this equation:

(y-y1)/(y2-y1) = (x-x1)/(x2-x1)

(y-0)/(4-0) = (x-12)/(10-12)

y/4 = (x-12)/(-2)

y/4 = (-x+12)/2

y = -2x + 24

write an inequality to express the relationship between -8 and -13

Answers

-8 > -13 unless you need it written in another way

A car is 160 inches long. A truck is 75% longer than the car.
How long is the truck?

Answers

280 in because 75% of 160 is 120 and 120 + 160 is 280

lily has a stamp collection .she has 54 more U.S stamps than foreign stamps . she has 652 stamps in all.
how many of each type of stamp does lily have? enter the answers in the box.

lily has ____ U.S . stamps and ____ foreign stamps.

Answers

Answer:

foreign stamps = 299

US stamps = 353

Step-by-step explanation:

Let number of foreign stamps be x.

Given she has 54 more U.S stamps than foreign , US stamps = x +54

Total stamps = US + Foreign

652 = x + 54 + x

652 - 54 = 2x

598 = 2x

x = 299

Which expression is equal to

Answers

Answer:

4^5/ 4^-9

Step-by-step explanation:

the third one

C?? I don’t know lol

Explain how to calculate the surface area of a composite figure in your own words.

Answers

Answer:

tik

Step-by-step explanation:

Answer:

Sample response: First separate the composite into component figures. Then find the surface area of each figure. A two-dimensional net can be used to find the surface area. Add the surface areas of the components. Then, subtract or exclude the areas of the figures that are shared.

Find the side length x. Round answer to the nearest hundredth.

Answers

8.66

14²-11²= 75
√75= 8.66

Will mark the correct answer brainliest

Answers

Answer:

How long the ball was in the air

Step-by-step explanation:

3.5 seconds is the amount of time that the ball's height starts from 0 meters and ends to 0 meters.

Answer:

How much  long was the ball was in the air

Step-by-step explanation:

mark brainliest

What is the approximate volume of the cone? Use 22 for it. Enter your answer in the box.
3 cm
14 cm
About
cm3

Answers

Step-by-step explanation:

[tex] \frac{1}{3} ( \frac{22}{7} ) {(3)}^{2} (14) \\ \frac{1}{3} ( \frac{22}{7})(9)(14) \\ \frac{1}{3}( \frac{22}{7}) (126) \\ 42( \frac{22}{7}) \\ \frac{924}{7} \\ 132{cm}^{3} [/tex]

Please helppppppppp

Answers

Answer:

I don't really get what the question is asking but 865 with an exponent of 2 times 865 with an exponent of 3 is 484,262,162,790,625

Step-by-step explanation:

Hope this helped <3

i think it’s 4.8426216e+14?? i searched it up on a calculator that’s what it said.

If 2^2008 – 2^2007 - 2^2006 + 2^2005 = k * 2^2005 then the value of k is equal to​

Answers

Step-by-step explanation:

Maths

Bookmark

if 2

2008

−2

2007

−2

2006

+2

2005

=k ⋅2

2005

then the value of k is equal to

Answer

Correct option is

B

3

2

2008

−2

2007

−2

2006

+2

2005

=k⋅2

2005

⇒[2

2008

−2

2006

]−[2

2007

−2

2005

]=k⋅2

2005

⇒2

2006

(2

2

−1)−2

2005

(2

2

−1)=k⋅2

2005

⇒3(2

2006

−2

2005

)=k⋅2

2005

⇒3[2

2005

(2−1)]=k⋅2

2005

⇒3(2

2005

)=k⋅2

2005

On comparing, we get

k=3

Hence, Option B is correct.

Answer:

k = 3

Step-by-step explanation:

[tex]2^{2008}-2^{2007}-2^{2006}+2^{2005}=k \times 2^{2005}[/tex]

[tex]=> (2^{2005} \times 2^3) - (2^{2005} \times 2^2) - (2^{2005} \times 2^1) + 2^{2005} = k \times 2^{2005}[/tex]

Take [tex]2^{2005}[/tex] common from all the terms in L.H.S.

[tex]=> 2^{2005}(2^3 - 2^2 - 2^1 + 1) = k \times 2^{2005}[/tex]

Divide both the sides by [tex]2^{2005}[/tex].

[tex]=> \frac{2^{2005}(2^3 - 2^2 - 2^1 + 1)}{2^{2005}} = \frac{k \times 2^{2005}}{2^{2005}}[/tex]

[tex]=> 2^3 - 2^2 - 2^1 + 1 = k[/tex]

Expand the terms in L.H.S.

[tex]=> 8 - 4 - 2 + 1 = k[/tex]

[tex]=> k = 3[/tex]

Help please thank you I have 1 more question-after this sorry for all the questions

Answers

Answer:

A - 6 units from the y axis. B - 5 units form the x axis. C - 8 units from T to V.

Step-by-step explanation:

So lets go over each question.

A asks for how many units point W is from the y axis. The y axis is the vertical line that goes up and down in the middle of the graph. This line is at x=0.

So we can think of the units between W and the y axis as the distance between W's x coordinates and 0.

In this case, we can see W's x coordinate is at 6.

So this means that W is 6 units from the y axis.

Next we have the distance between the x axis and point U.

The x axis is the line that goes left to right, and is at y=0.

We need to look at the y coordinate of U to find the difference between y=0 and U.

We can see that U is at y=5 on the graph.

So U is 5 units from the x axis.

The last question is the distance between point V and T.

We can see that the x coordinate for both points is x=2.

However, their y coordinates are different.

To find the difference, subtract the y coordinate of one point from the other.

In this case, the y coordinate of V is 5. The y coordinate of T is -3.

So lets see:

v-t=difference of y.

Plug in the values:

5--3

And since the negative sign and the minus sign cancel out:

5+3

=

8

So the difference in y is 8!

Hope this helps!

Phoebe invested $5800 and after one year the investment was worth $6100. How much interest did she receive?

Answers

Answer:

Amount of interest received by Phoebe = $300

Step-by-step explanation:

Given:

Amount Phoebe invested = $5,800

Amount Phoebe received after one year = $6,100

Find:

Amount of interest received by Phoebe

Computation:

Amount of interest received by Phoebe = Amount Phoebe received after one year - Amount Phoebe invested

Amount of interest received by Phoebe = 6,100 - 5,800

Amount of interest received by Phoebe = $300

In ΔABC, the measure of ∠C=90°, BA = 41, CB = 40, and AC = 9. What ratio represents the cosine of ∠B?

Answers

Answer:

40/41

Step-by-step explanation:

From the given diagram;

BA is the hypotenuse = 41

AC is the opposite = 9

CB is the adjacent = 40

Cos<B = adjaccent/hyp

Cos<B = CB/BA

Cos<B = 40/41

Hence the required ratio is 40/41

Serena, Alyssa and Katie have just finished lunch at the Rainforest Cafe. Their bill came to $38.96. There is an 8% sales tax. The girls have decided to leave a tip of 15% on the total amount of the bill. How much money did the entire bill come to including the tip?

Answers

Answer:

About $48.39

Step-by-step explanation:

Sales tax only applies to the bill, not the tip.

Calculate the sales tax:

38.96 × 8%

38.96 × 0.08

3.1168

Round to the nearest cent:

3.12

Add the sales tax to the bill:

38.96 + 3.12

42.08

Calculate the tip based "on the total amount of the bill:"

42.08 × 15%

42.08 × 0.15

6.312

Round to the nearest cent:

6.31

Add the tip to the rest of the bill:

42.08 + 6.31

48.39

i need help ill give brainliest

Answers

Answer:

486

Step-by-step explanation:

multiply the length width and height for the surface area

pls mark me brainliest

A train travels 164 miles in 4 hours.
How far does it travel per hour?
Rate
Unit Rate

Answers

Answer: 23 12

Step-by-step explanation:

help me please i’m stuck

Answers

Answer:

a)

x²+2x

b)

2x²-5x

c)

6x²+8x

d)

6x²-12xy

hopefully i understand it correctly because my engilish is not the best

Find the next 4 terms using inductive reasoning. 2, -6, 18, -54, 162

Answers

Answer:

-486, 1458, -4374, 13,122

Step-by-step explanation:

each number is multiplied by -3

Look at image please

Answers

The y-intercept would be located at (0,6) and the equation would be y=2x+6
Hopefully this is right!

Please help I dont get it​

Answers

Answer:

I think it’s 14 sorry if it’s wrong

Step-by-step explanation:

HELP! I'll give brainliest

Answers

Answer: A!

Step-by-step explanation:

The marginal cost function for manufacturing perfume is given by c(x) = 7x + 28, where x is the product quantity. Find the change in the cost of perfume when the number of units sold changes from 2 to 10.
A.
$56
B.
$57
C.
$62
D.
$67

Answers

Answer:

A. $56

Step-by-step explanation:

the change of cost =

[7(10) + 28] - [7(2) + 28] = 98-42=56

Brian and his friend Tom had a lemonade stand. They spent $40 on supplies. They sold $160 of lemonade in 5 hours. If the boys split the money left over evenly, how much money did Brian make each hour?

Answers

Answer:

40

Step-by-step explanation:

160-40=80/2=40

Answer:

$12/ hour

Step-by-step explanation:

revenue: 160

profit: 160 - 40 = 120

Brian's profit: 120/2 = 60

Hourly profit: 60/5 = 12

PLEASE MARK BRAINLIEST THANK YOU

Help, please!! I don’t have much time

Answers

Answer:

I might be wrong, but if I did this right it would be D.

Step-by-step explanation:

I'm sincerely sorry if I got this wrong.

Answer:

B. 3.72 x [tex]10^{7}[/tex]

Step-by-step explanation:

The distance between the sun and Mercury is approximately 36,000,000 miles.

Move the decimal point 7 positions to the left so that there is only one digit to the left of it.

Multiply that number by 10 raised to the power of 7

7 is the number of positions that the decimal point was moved.

I do not know this subject too well but hopefully this helps.

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