Given the diagram below what is the length of segment EF

Given The Diagram Below What Is The Length Of Segment EF

Answers

Answer 1

Answer:5.5

Step-by-step explanation:

A. P. E. X.

Answer 2

The length of the line segment EF will be 55 units. Then the correct option is B.

What is a trapezium?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

In the diagram, the line segment EF is the given as the half of the sum of the line segment BC and the line segment AD.

EF = (BC + AD) / 2

From the diagram, the length of the line segment AD is 7.6 units and the length of the line segment BC is 3.4 units.

Put these values in equation. Then the length of the line segment EF will be

EF = (3.4+ 7.6) / 2

EF = 11 / 2

EF = 5.5 units

Thus, the length of the line segment EF will be 55 units.

Then the correct option is B.

More about the trapezium link is given below.

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Related Questions

Sheila eats 3/4 of a bag of baby carrots each week.How many bags of carrots does she eat in 6 weeks? Write in Simplest Form

Answers

Answer:

9/2

Step-by-step explanation:

9/2
.....................................

Assuming a 90% confidence level, the margin of error is approximately?

Answers

Answer:

  0.3

Step-by-step explanation:

The margin of error is calculated as ...

  (standard deviation)/√(sample size) × (z*-score)

where the z*-score is chosen based on the desired confidence level.

Here, you have ...

standard deviation = 2.7√(sample size) = √225 = 15z*-score for 90% confidence level = 1.645

Putting these values in the above expression for margin of error gives ...

  2.7/15·1.645 = 0.2961 ≈ 0.3

Answer:

0.3.

between 20.3 and 20.9

Step-by-step explanation:

Write the following decimal number in its equivalent fraction form. Show all work for full credit. 0.255

Answers

ANSWER

[tex]0.255 = \frac{51}{200}[/tex]

EXPLANATION

The given decimal is 0.255

To change this fraction to its equivalent fraction form,we multiply by 1000 and divide by 1000.

This gives us,

[tex]0.255 = \frac{0.255 \times 1000}{1000} [/tex]

Multiply out the numerator to obtain;

[tex]0.255 = \frac{255}{1000} [/tex]

This simplifies to

[tex]0.255 = \frac{51}{200} [/tex]

Plz help Needed for graduation!!

Answers

Answer:

[tex]\large\boxed{25^\frac{5}{2}=3,125}[/tex]

Step-by-step explanation:

[tex]a^n\cdot a^m=a^{n+m}\\\\a^\frac{m}{n}=\sqrt[n]{a^m}\\\\======================\\\\25^\frac{5}{2}=25^{2\frac{1}{2}}=25^2\cdot25^\frac{1}{2}=625\sqrt[2]{25^1}=625\sqrt{25}=625(5)=3,125[/tex]

The line plot shows the number of points scored by Josh in his basketball games. How many games did Josh score more than six points?

Answers

Final answer:

Without the line plot data for Josh's basketball game points, we cannot determine how many games he scored more than six points. However, to create a side-by-side stem-and-leaf plot, you separate the tens and ones to form stems and leaves and compare wins and losses.

Explanation:

To answer the question of how many games Josh scored more than six points, you would need to refer to the specific line plot data, which is not provided here. Since we don't have the actual line plot, we cannot accurately determine the number of games in which Josh scored more than six points.

In general, if you have a line plot illustrating the points scored by Josh in his basketball games, you would count the number of times the data points exceed the number six on the plot. That count would represent the number of games he scored more than six points.

For the task of creating a side-by-side stem-and-leaf plot for the wins and losses of a sports team over 42 seasons, you would first separate the tens and the ones to make the stems and leaves. For example, if a team won 10 games in a season and lost 9 games, the stem would be '1' for both, and the leaves would be '0' for wins and '9' for losses. This process would repeat for all 42 seasons, organizing the data side-by-side to easily compare wins and losses.

Can somebody help me answer these plz?

Answers

Answer:

At = 27.225 ft2

Step-by-step explanation:

Hello

The triangle area is:

At = (b*h)/2

At = (9.9*5.5)/2

At = 27.225 ft2

Best regards

y is directly proportional to X
When y = 30, x = 6
a) work out an equation connecting y and x.
b) Work out the value of y when x = 12

Answers

y = kx

30 = 6k

k = 5

a) y = 5x

y = 5 × 12

b) y = 60

Final answer:

The equation that connects y and x here is y = 5x, found by realizing y is directly proportional to x. Substituting the given values into this equation reveals that when x = 12, y = 60.

Explanation:

In the given question, y is directly proportional to x. This can be written as y=kx, where 'k' is the constant of proportionality. When y=30 and x=6, substituting these values into the equation gives us 30=k*6. Solving for 'k', we get k=30/6 = 5, meaning our equation becomes y = 5x.

For part b), we can find the value of y when x=12 by substituting the value of x in our equation, y = 5x. This gives us y = 5*12, which results in y = 60.

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Find the output, k, when the input, t, is -7

K = 10t - 19

K= ?

Answers

Answer:

k= -89

Step-by-step explanation:

k = 10t - 19 and t = -7

k=10 (-7) - 19

k= -70 - 19

k= -89

Answer:

-89

Step-by-step explanation:

Explain the difference between multiplying by powers of 10 when the exponent is a positive number and when the exponent is a negative number

Answers

Answer:

a negative number makes fractions. a positive one makes bigger number

Step-by-step explanation:

Answer:

a negative number makes fractions. a positive one makes bigger number

Step-by-step explanation:

the area of a parallelogram is 36x^6y^5. if the base of the parallelogram is 3xy^2,what is the height of the parallelogram ​asap

Answers

Answer:

h = 12x^5y^3

Step-by-step explanation:

The area of a parallelogram is found using A = b*h. Substitute the values given and solve for h.

A = b*h

36x^6 y^5 = 3xy^2 * h

36x^6 y^5 ÷ 3xy^2 = h

12x^5y^3 = h

what is the lateral and surface area of a cone with a radius of 3 and height of 3​

Answers

[tex]\bf \textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=3 \end{cases}\implies LA=\pi (3)\sqrt{3^2+3^2} \\\\\\ LA=3\pi \sqrt{2(3^2)}\implies \boxed{LA=9\pi \sqrt{2}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \textit{total surface area of a cone}\\\\ SA=\pi r\sqrt{r^2+h^2}+\pi r^2~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=3 \end{cases}\implies SA=\boxed{9\pi \sqrt{2}}+\pi 3^2 \\\\\\ SA=9\pi \sqrt{2}+9\pi \implies SA\approx 68.26[/tex]

the poduct of 10 and a number is 3 less than the number

Answers

Answer:

Step-by-step explanation:

10 x = x - 3     Subtract x from both sides

10x - x = - 3    Combine like terms on the left

9x = - 3           Divide both sides by 9

9x/9 = -3/9

x = - 1/3 or x = - 0.333333

Given: PKHE - inscribed, m∠E=120°
m∠EPK=51°, PF ∥EH
Find: m∠KPF, m∠H.

Answers

Answer:

KPF = 9 and H = 129

Step-by-step explanation:

An inscribed quadrilateral in a circle has all diagonal angles add up to 180, so we can use this to find the angles of the quadrilateral.  

H= 180-EPK and K = 180-E so H = 129 and K = 60

Now PF and EH are parallel, so PE is a transversal.   That means FPE = 180 - E = 60.  Now it's pretty easy to solve for KPF = FPE - EPK = 60 - 51 = 9.

Let me know if you don't see how I did any of this and I'll be happy to explain it..

the function h(x)=x^2+3 and g(c)=x^2-6. if g(x)=h(x)+k, what is the value of k?
i am so confused and i really need this answer soon someone please help

Answers

ANSWER

k=-9

EXPLANATION

The given function is

[tex]h(x) = {x}^{2} + 3[/tex]

and

[tex]g(x) = {x}^{2} - 6[/tex]

We want to rewrite g(x) in terms of f(x).

[tex] {x}^{2} - 6 = {x}^{2} + 3 + - 9[/tex]

This implies that,

[tex]g(x) = h(x) + - 9[/tex]

When we compare, we realize that

[tex]k = - 9[/tex]

solve y^2+7y+12=0 by completing the square.​

Answers

Answer:

y = -3, -4

Step-by-step explanation:

Formula is (b/2)^2

So...

(y+7/2)^2 - 1/4 = 0

Add 1/4 to each side

(y+7/2)^2 = 1/4

Square root...

y+7/2 = +-1/2

Add

y = -3, -4

PLEASE HELP ME! Thanks! Brett is making a fruit salad. The recipe calls for 1 1/2 cups of apple, 3/4 cup of

oranges, and 2/3 cup of grapes. How many cups of fruit salad will Brett’s recipe make?

Answers

Answer:

2 11/12

Step-by-step explanation:

first we need to convert 3/4 and 2/3 to even denominators. I used the number 12.

9/12 + 8/12 = 17/12

1/2 = 6/12

17/12 + 6/12 = 23/12

23/12 = 1 11/12

But we still have 1 from the 1 1/2 so add that

1 + 1 11/12 = 2 11/12

2 11/12

Hope this helps! Please mark as brainliest! Thanks!

Abigail has 16 apples she eats 2 apples per day.let y be the apples remaining as a function of the number of week,x

Answers

Answer:

8 days

Step-by-step explanation:

question

how much apples remaing as a function of the number of week ? so Abigail has 16 apples she eats 2 apples per day

1 st how long before all her apples Finnish

8 days how

count by twos until u reach 16

so x= 8

Final answer:

Abigail has 16 apples, and by eating 2 per day, she consumes 14 per week. The function for remaining apples after x weeks is y = 16 - 14x.

Explanation:

Abigail has 16 apples and eats 2 apples per day. To express the remaining apples, y, as a function of the number of weeks, x, we first need to determine how many apples are eaten in one week. Since there are 7 days in a week and Abigail eats 2 apples per day, she will eat 14 apples in one week.

The function describing the remaining apples after x weeks can be constructed as follows:

Start with the total number of apples Abigail has, which is 16.

Calculate the total apples consumed in x weeks: Apples eaten per week × Number of weeks (x), which is 14x.

Subtract the total apples consumed from the initial amount to get the remaining apples: y = 16 - 14x.

This equation represents the remaining apples as a function of the number of weeks.

Solve the equation. x^2 − 6x − 7 = 0
A) x = 7
B) x = 1
C) x = 1 or x = −7
D) x = −1 or x = 7

Answers

x equals 7,-1 :)))))))))))

Answer:

D

Step-by-step explanation:

given x² - 6x - 7 = 0 ← in standard form

To factor the quadratic

Consider the factors of the constant term ( - 7 ) which sum to give the coefficient of the x- term ( - 6)

The factors are - 7 and + 1, since

- 7 × 1 = - 7 and - 7 + 1 = - 6, thus

(x - 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 1 = 0 ⇒ x = - 1

The solution to the equation is D

Find the distance between (-3,2) and (5, -6) using the distant formula.

Answers

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[5-(-3)]^2+[-6-2]^2}\implies d=\sqrt{(5+3)^2+(-8)^2} \\\\\\ d=\sqrt{8^2+8^2}\implies d=\sqrt{2(8^2)}\implies d=8\sqrt{2}[/tex]

The distance between (-3, 2) and (5, -6) is [tex]\(8\sqrt{2}\)[/tex] units.

The distance between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] in a two-dimensional Cartesian plane can be found using the distance formula:

[tex]\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \][/tex]

In this case, the points are (-3, 2) and (5, -6). Let's plug in these values into the formula:

[tex]\[ d = \sqrt{(5 - (-3))^2 + ((-6) - 2)^2} \][/tex]

Simplify the expression inside the square root:

[tex]\begin{aligned}& d=\sqrt{(5+3)^2+(-8)^2} \\& d=\sqrt{8^2+64} \\& d=\sqrt{64+64} \\& d=\sqrt{128} \\& d=8 \sqrt{2}\end{aligned}[/tex]

Complete the equation 1 2/3mi = ? ft

A- 8,800
B- 9,600
C- 10,560
D- 13,200

Answers

Answer:

A. Hope this helps.

(06.04 MC)



What is the approximate equation of this line of best fit in slope-intercept form?

Answers

Answer:

The equation of the line of best fit is y = (-9/7)x + 13.

Step-by-step explanation:

The y-intercept of this straight line is (0, 13); we could also say that b = 13.

Two points on the graph are (0, 13) and (7, 4).  As we go from x = 0 to x = 7, x increases by 7; at the same time, y decreases by 9.  

From this observation, we can easily calculate the slope of this line:

m = rise / run = -9/7.

Then the equation of the line of best fit is y = (-9/7)x + 13.

The equation which represents the line that best fits the given data points is [tex]\[ y = -\frac{3}{2}x + 15 \][/tex]

Certainly! Let's go through the steps to find the equation of the line using the points (0, 15) and (10, 0).

1. Calculate the Slope [tex](\(m\))[/tex]:

The slope of a line [tex](\(m\))[/tex] is given by the formula:

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

Using the points [tex]\((0, 15)\)[/tex] and [tex]\((10, 0)\)[/tex]:

[tex]\[ m = \frac{0 - 15}{10 - 0} \][/tex]

[tex]\[ m = \frac{-15}{10} \][/tex]

[tex]\[ m = -\frac{15}{10} \][/tex]

This can be simplified further by dividing the numerator and denominator by 5:

[tex]\[ m = -\frac{3}{2} \][/tex]

So, the slope[tex](\(m\))[/tex] is [tex]\(-\frac{3}{2}\).[/tex]

2. Find the Y-Intercept [tex](\(b\))[/tex]:

The y-intercept [tex](\(b\))[/tex] is the y-value when (x = 0). We are given the point [tex]\((0, 15)\),[/tex] so the y-intercept is 15.

3. Write the Equation of the Line:

The equation of a line is in the form (y = mx + b), where (m) is the slope and (b) is the y-intercept.

Now we substitute the slope [tex]\(-\frac{3}{2}\)[/tex] for (m) and the y-intercept 15 for (b) in the equation (y = mx + b):

[tex]\[ y = -\frac{3}{2}x + 15 \][/tex]

So, the equation of the line of best fit in slope-intercept form using the points [tex]\((0, 15)\)[/tex] and [tex]\((10, 0)\)[/tex] is:

[tex]\[ y = -\frac{3}{2}x + 15 \][/tex]

This equation represents the line that best fits the given data points.

Question

(06.04 MC) Dennis drew the line of best fit on the scatter plot shown below: A graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 15 at increments of 1.The ordered pairs 0, 15 and 0.5, 14 and 1, 13 and 2, 12 and 3, 11 and 4, 9 and 5, 8 and 6, 6 and 7, 4.5 and 8, 2.3 and 9, 2 and 9.8, 0.5 are shown on the graph. A straight line joins the ordered pairs 0, 15 and 10, 0. What is the approximate equation of this line of best fit in slope-intercept form?

Is it independent or dependent?

Answers

Answer: I would say Independent

Step-by-step explanation:

Independent because picking a blue marble and then putting it back doea not change the outcome of picking another marble. If it had have said "Event A:Picking a blue marble, without replacement. "Event B: Picking a red marble, then it would be Dependent because since the first marble was not replaced the denominator(total amount of marbles) would drop and cause the outcome to change.

are any two regular polygons similar. The area of the smaller figure is about 390 cm^2. choose the best estimate of the area of the larger figure

Answers

Answer:

The best estimate of the area of the larger figure is [tex]693\ cm^{2}[/tex]

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

x-----> the corresponding side of the larger figure

y-----> the corresponding side of the smaller figure

so

[tex]z=\frac{x}{y}[/tex]

we have

[tex]x=12\ cm[/tex]

[tex]y=9\ cm[/tex]

substitute

[tex]z=\frac{12}{9}=\frac{4}{3}[/tex] -----> the scale factor

step 2

Find the area of the larger figure

we know that

If two figures are similar, then the ratio of its  areas is equal to the scale factor squared

Let

z----> the scale factor

x-----> the area of the larger figure

y-----> the area of the smaller figure

so

[tex]z^{2}=\frac{x}{y}[/tex]

we have

[tex]z=\frac{4}{3}[/tex]

[tex]y=390\ cm^{2}[/tex]

substitute and solve for x

[tex](\frac{4}{3})^{2}=\frac{x}{390}[/tex]

[tex](\frac{16}{9})=\frac{x}{390}[/tex]

[tex]x=390*16/9=693.33\ cm^{2}[/tex]

A parallelogram has an area of 216.24 cm2

and a height of 15.9 cm.

How long is the base of the parallelogram?

Enter your answer as a decimal in the box.

Answers

Answer:

200.34 cm²

Step-by-step explanation:

Answer:

13.6 cm

Step-by-step explanation:

The area (A) of a parallelogram is calculated using the formula

A = bh ← b is the base and h the height

here A = 216.24 and h = 15.9, hence

15.9b = 216.24 ( divide both sides by 15.9 )

b = [tex]\frac{216.24}{15.9}[/tex] = 13.6 cm

The answer options are

A. X/7 ≥ y/3 + 2

B. Y/2 ≤ x/3 +2

C. Y/7 ≤ x/3 + 3

D. X/7 ≤ y/3 +2

Answers

Ansgilcx dhsvguydfsjhujvcouwaihgraeuvyjsghdnvufyiekghabsuivkjkesd

Step-by-step explanation:

using the area model 8,708÷28​

Answers

Answer:

311

Step-by-step explanation:

algebraic expression for x subtracted from 15

Answers

Answer:

15-x

Step-by-step explanation:

x subtracted from 15 - key word is subtracted from

that means flip it when it is written so it is 15-x

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ The algebraic expression for x subtracted from 15 is:

15-x

This is because it says x subtracted from 15, meaning x is taken out of 15.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

Tan 64 degrees = height / 75 ft

Answers

Answer:

176.08952318965774 or 176.1

Step-by-step explanation:

Tan(64) = h/75

Tan(64) * 75

= 176.08952318965774

Find half of 6 times 8

Answers

Answer:

24

Step-by-step explanation:

6 times 8 is 48 and i divided that by 2

Answer:

The answer is 24

Step-by-step explanation:

So simple

1) just Multiply

6 x 8 = 48

then divide by 2

48/2 = 24

Hope this help you!

Which point represents the center of the circle below ?

Answers

D.

If you look at the circle the point O is most is obviously in the center .

Answer:

D) Point O is the center.

Step-by-step explanation:

Given : Circle.

To find : Which point represents the center of the circle below.

Solution : We have given Circle.

The center of a circle is the point which is equidistant from all points on the circle.

Point O is equidistant from point R and S and A.

So, Center of the circle is O.

Therefore, D) Point O is the center.

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