EF is a median of trapezoid ABCD. The length of AB is 12, and the length of CD is 18. The length of BF is 4. What is the length of FC?

Answers

Answer 1

Answer:

Step-by-step explanation:

The diagram representing the trapezoid is shown in the attached photo. The median EF is a line segment that is half way between the 2 bases. The length of the median is the average of the two bases. Therefore,

EF = (12 + 18)/2 = 15

Two similar trapezoids are formed. They are ABFE and EFCD

By comparing both trapezoids, it means that

4/15 = FC/18

Cross multiplying, it becomes

4 × 18 = 15FC

72 = 15FC

FC = 72/15

FC = 4.8

EF Is A Median Of Trapezoid ABCD. The Length Of AB Is 12, And The Length Of CD Is 18. The Length Of BF

Related Questions

Can you please help me with this question please and i will give you a Brainiest right

Answers

Answer:

135 grams

Step-by-step explanation:

you want to find the mass of only the grapes, not including the bowl. so in this case, you would subtract the mass of the bowl from the total mass. you do this because you dont need the mass of the bowl. 256g - 121g = 135g :)

What is 60% of 150? Please answer.

Answers

Answer:

90

Step-by-step explanation:

Answer:

Your answer is 90

Step-by-step explanation:

You take 150 and multiply it by .6 to get 90

what is 722899 rounded to the nearest ten

Answers

Answer:

722900

Step-by-step explanation:

You look at the ones place, and since it is 9, you make the 9 in the tens place a 0, and then regroup the one and add it to the 8 in the hundreds place. So your answer would be 722900

4x 10 > 6 solve inequalites

Answers

Answer:

40 is greater than 6

Step-by-step explanation:

1. sqrt(6-3x)-2=0

A. 2/3

B. 2

C. 10/3

D. 4

Answers

Answer:

I believe that the answer to this question is A.

2/3

What is the sum of interior angles for a 24-gon

Answers

Answer:

3960 degrees

Step-by-step explanation:

(24-2)*180=22*180=3960

Answer:

sum = 3960

Step-by-step explanation:

The sum of the measure of the interior angles = (n - 2) * 180

n = number of sides

n = 24

sum = (24-2)*180

sum = 22 *180

sum = 3960

Steve has a fenced garden in the shape of a rectangle. Its area is 317.8 square feet. The width of the yard is 14 feet. What is the length of the fence?

Answers

Answer:

22.7 feet

Step-by-step explanation:

Area of a rectangle=Length X Width

If:

Area = 317.8 square feet.Width = 14 feet

Substituting into the formula for area

317.8 = Length X 14

Divide both sides of the equation by 14

[tex]\dfrac{Length X 14}{14}= \dfrac{317.8}{14}[/tex]

Length =22.7 feet

The length of the fence is 22.7 feet.

Select the correct answer

The tables show the subscription costs for two magazines. What is the ratio of the cost of Magazine A to the cost of Magazine B

Answers

Answer:

A

Step-by-step explanation:

There is a 50% chance of this correct

What is 7.26451 correct to 3 decimal places ?

Answers

Answer:

7.625

Step-by-step explanation:

This would be written like this bc to 3 decimal places its 5.You then round 4 up to 5,because the third decimal place is higher than 4.

Answer:

7.265

Step-by-step explanation:

You count three places after the decimal point which is 264 since there is a 5 after the 4 the 5 tells you round the 4 up to a 5

2 Points
The value of -16 is not-4 because
O A. 42.-16
OB. 1624
O C. (-4)2 + -16
O D. (-16)24

Answers

The answer will be c

i need help with this question:
the slope between the points (4,0) and (0,-8)

Answers

Answer:

The slope between those two points is 2

Step-by-step explanation:

Answer:

The slope is:

[tex]m = 2[/tex]

Step-by-step explanation:

Use the slope formula:

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Use both points (4,0) and (0,-8) for the slope formula:

[tex]m = \frac{-8-0}{0-4}[/tex]

-Then, you solve:

[tex]m = \frac{-8-0}{0-4}[/tex]

[tex]m = \frac{-8}{-4}[/tex]

[tex]m = 2[/tex]

So, therefore, the slope is [tex]2[/tex] .

Manuel biked for 12 1/4 miles in 45 minutes. At that rate how far can you go in one hour?

Answers

Answer:

16 1/3 miles in one hour.

Step-by-step explanation:

12.25 miles in 45 minutes.

How far in 60 minutes?

Set up a proportion: 12.25/45=x/60

45x=735

x=16.3333...

Therefore, Manuel can go 16 1/3 miles in one hour.

I hope this helped and have a good rest of your day!

What is the area of the triangle?

Answers

Answer:

80

Step-by-step explanation:

10*16=160 160 is the area of the square so you have to divide it by 2 and then you get 80

Answer
A)75
B)65
C)60
D)70

Answers

Answer:

the answer is C your welcome!!!!

Step-by-step explanation:

Answer:

Let's denote O as center of circle.

=> Two isosceles triangles  AOB and EOF are congruent (SSS).

Because AO = BO = EO = FO = radius of circle O, AB = EF = 8

=> Arc AB = AOB = EOF = Arc EF = 65 deg.

Hope this helps!

:)

what are the factors of m squares minus 12m plus 20 ?

Answers

Answer:

(m - 10) and (m - 2)

Step-by-step explanation:

Given

m² - 12m + 20

Consider the factors of the constant term (+ 20) which sum to give the coefficient of the m- term (- 12)

the factors are - 10 and - 2, since

- 10 × - 2 = + 20 and - 10 - 2 = - 12, thus

m² - 12m + 20 = (m - 10)(m - 2)

Katie works for a company that designs children’s playhouses. The diagram shows her design for a new playhouse. Katie can select the color of the plastic used to make the playhouse. Panels can be cut from 14-ft by 14-ft sheets of plastic.

Play house is made of triangular prism which is placed up on a rectangular prism. The dimension of rectangular prism are length 13.2 ft, width 13.2 ft and height 6.6 ft. The dimension of triangular prism are slant height 8.8 ft and base same as the length of the rectangle.

Part A
How many sheets of plastic will Katie need? Explain.



Answers

Answer:

1029384rymajjdkcjvj

10 kg of tea leaves when 3 kg of tea leaves cost $18

Answers

Answer:

$60 for 10kg of tea leaves.

Step-by-step explanation:

1.- divide $18 by 3kg to determine the price of a single tea leaf.

18/3 = 6

1 tea leaf costs $6

2.- multiply the price of a single leaf by the number of leaves you want.

10 x 6 = 60

The winner of a tennis trophy for "best serve" is the league player with the highest first serve percentage during games played.The three players with the highest first serve percentages are players A, B, and C. Player A landed 62% of first serves, player B landed 0.7 of first serves and player C landed 33/50 of first serves. Graph an inequality that represents the possible first serve percentages (in decimal form) for the other players in the league. (Assume there are no players with the same first serve percentage.)

Answers

Answer:

The answer is 19%

Step-by-step explanation:

Based on the description of the scenario, which of the variables is the dependent variable?

Answers

Answer:

We need the scenario.

Step-by-step explanation:

Generally the independent variable is the thing you are changing and the dependent variable is being changed based on the independent variable.

Ex:

y= x+1

x is the independent variable because you can put in whatever value you want in and y is the dependent variable because its value depends on what you choose for x if that makes sense. I would need you scenario to be able to tell you exactly what it is.

Answer:

For the first one test score

For the second  one it's y-axis

Step-by-step explanation:

I just did the assignment

Match the terms of this geometric sequence with their term numbers. 5, 10, 20, 40, 80, 160, ...
Boxes: [12th term] [nth term] [2nd term] [4th term] [(n-1)th term] [6th term]
Terms to be put in boxes: 5*2^4-1, 5*2^2-1, 5*2^12-1, 5*2^n-2, 5*2^6-1

Answers

Answer:

12th term: [tex]a_{12}=5\times 2^{12-1}[/tex]

nth term: [tex]a_n=5\times 2^{n-1}[/tex]

2nd term: [tex]a_{2}=5\times 2^{2-1}[/tex]

4th term: [tex]a_{4}=5\times 2^{4-1}[/tex]

(n-1)th term: [tex]a_{n-1}=5\times 2^{n-2}[/tex]

6th term: [tex]a_{6}=5\times 2^{6-1}[/tex]

Step-by-step explanation:

The first term of GP, a = 5

Common ratio, r = 2

Formula for [tex]n^{th}[/tex] term of a GP,  [tex]a_n=ar^{n-1}[/tex].

Putting the values of a and r. So, [tex]n^{th}[/tex] term is:

[tex]a_n=5\times 2^{n-1} ...... (1)[/tex]

[tex]12^{th}[/tex] term is:

Put n = 12 in (1):

[tex]a_{12}=5\times 2^{12-1}[/tex]

2nd term is : (Put n = 2 in (1))

[tex]a_{2}=5\times 2^{2-1}[/tex]

4th term is: (Put n = 4 in (1))

[tex]a_{4}=5\times 2^{4-1}[/tex]

(n-1)th term is, put value of n as (n-1) in equation 1:

[tex]a_{n-1}=5\times 2^{n-1-1}\\a_{n-1}=5\times 2^{n-2}[/tex]

6th term is:  (Put n = 6 in (1))

[tex]a_{6}=5\times 2^{6-1}[/tex]

Solve for v.

–5v = 3v − 16

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

-5v = 3v - 16

- 3v

-8v = -16

/ -8

v = 2

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

v = 2

Step-by-step explanation:

-5v = 3v - 16

- 3v

-8v = -16

/ -8

v = 2

Sue deposited $1,850 in a savings account. How much would she earn in three years if the bank paid 6.75% simple interest?

I would love an explanation if possible that way I can actually learn lol. Thx!

Answers

The answer is 374.625

Here,just we have to apply the formula of interest and that is Principal*time*rate/100

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

$374.63

Step-by-step explanation:

Find the interest paid by the bank per year by working out 6.75% of 1850 (1850x0.0675)

Then multiply this by 3 as it is three years, to get 374.625, then round it to 2 decimal places.

Which expression is equal to 2x7x6?

Answers

Answer:

84

Step-by-step explanation:

First you multiply 2 and 7

Ans 14

Then you multiply 14 and 6

Ans 84

Answer:

Ans 84

Step-by-step explanation:

Which series of transformations results in a figure that is SIMILAR to the original figure. Select all that apply.

Translation, Reflection, Rotation

Translation, Dilation, Reflection

Dilation, Reflection, Rotation

Rotation, Rotation, Translation

Rotation, Translation, Reflectio

Answers

Answer:

Translation, Reflection, Rotation

Step-by-step explanation:

In mathematics, objects undergo series of transformations. Transformation can be defined as the movement of an object from one particular position to another position

The transformations that an object undergoes are such that the resulting figure created is SIMILAR TO OR THE SAME AS the original figure is referred to as ISOMETRIC TRANSFORMATIONS.

They are:

a) Translation: The movement that occurs in translation of objects is the sliding movement. During translation, an objects is moved from one point to another point without rotating or reflecting the object. This is also known as sliding.

b) Reflection: During reflection, an object is transformed turning it over the line of reflection to another side or position.

c) Rotation: Rotation is the transformation of an object by rotating the object about a fixed point.

what does a linear graph look like?

Answers

Answer:

A linear equation looks like any other equation

Step-by-step explanation:

Can anyone also help with this thanks

Answers

Answer:

2x-6

Step-by-step explanation:

Just distribute 2 to each variable in the parenthesis

Answer:

2x-6

Step-by-step explanation:

2(x-3)

2x-2(3)

2x-6

When you raise a number to the power with the exponent 1/2, you get
its

Answers

Answer:

it’s principal square root

Step-by-step explanation:

i just put her answer and got it wronggg

What’s the area of the semi circle

Answers

14.18 because you do pi times the radius squared and divide it by 2.

What is the value of x in the equation 3 minus 2 x = negative 1.5 x? –6 –2 2 6

Answers

3-2x = -1.5x

Add 2x to both sides:

3 = 0.5x

Divide both sides by 0.5

X = 3/0.5

X = 6

The answer is 6

Answer:

it is 6

Step-by-step explanation:

an object undergoes an acceleration of 8 metre per second square starting from rest find the distance travelled in one second​

Answers

Answer:

4m

Step-by-step explanation:

Initial velocity (u) = 0,

Uniform acceleration (a) = 8 m/s²

Time (t) = 1 s

Distance travelled in 1 second

= ut + 1/2at²

= 0 + 1/2× 8 ×1²

= 4 m  Ans.

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