ABCF AND EFGH ARE CONGRUENT PARALLELGRAMS. AD = 10cm, MC = 8cm, and the area of ABCD is 112cm^2. What is the number of centimeters in EN? Express your answer as a decimal to the nearest tenth

Answers

Answer 1

The image to the question is attached below.

Answer: The value of EN is 11.2 cm

Step-by-step explanation:

We are given:

The parallelograms ABCD and EFGH are congruent, which simply means

AB = EF

BC = FG

CD = GH   and

AD = EH

Area of ABCD = area of EFGH

Also, opposite sides of a parallelogram are equal. Thus,

AB = EF = CD = GH

BC = FG = AD = EH

It is given:

[tex]AD=10cm=FG\\\\\text{Area of ABCD}=112cm^2=\text{Area of EFGH}[/tex]

To calculate the area of a parallelogram, we use the equation:

[tex]Area=b\times h[/tex]

where, for parallelogram EFGH

b = base = FG = 10 cm

h = height = EN = ?

Area = [tex]112cm^2[/tex]

Plugging values in above equation, we get:

[tex]112cm^2=10cm\times EN\\\\EN=\frac{112cm^2}{10cm}=11.2cm[/tex]

Hence, the value of EN is 11.2 cm

ABCF AND EFGH ARE CONGRUENT PARALLELGRAMS. AD = 10cm, MC = 8cm, And The Area Of ABCD Is 112cm^2. What

Related Questions

What is the product?

(5r − 4)(r2 − 6r + 4)

5r3 − 34r2 + 44r − 16
5r3 − 4r2 + 14r − 16
5r3 − 6r − 16
5r3 + 10r − 16

Answers

Answer:

5r³ - 34r² + 44r - 16

Step-by-step explanation:

[tex] \small \sf \: (5r − 4)(r² − 6r + 4)[/tex]

use the distributive property

5r × (r² − 6r + 4) - 4× (r² − 6r + 4)

5r³ - 30r² + 20r - 4r² + 24r - 16

combine like terms

5r³ - 30r² - 4r² + 20r + 24r - 16

5r³ - 34r² + 44r - 16

The product of the expressions is 5r^3 - 34r^2 + 44r - 16

What is a product?

The product of two expression is done by multiplying the expressions

The product expression is given as:

[tex](5r - 4)(r^2 - 6r + 4)[/tex]

Expand the expression

[tex]5r^3 - 30r^2 + 20r - 4r^2 + 24r - 16[/tex]

Collect like terms

[tex]5r^3 - 30r^2 - 4r^2 + 20r + 24r - 16[/tex]

Evaluate the like terms

[tex]5r^3 - 34r^2 + 44r - 16[/tex]

Hence, the product of the expressions is 5r^3 - 34r^2 + 44r - 16

Read more about product at:

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For each babysitting job, Tamar charges $6 for bus fare plus $8 per hour. She only accepts babysitting jobs if the total charge is at least $30. What is the minimum number of hours for a babysitting job she would accept?
2 and one-half hours
3 hours
4 hours
4 and one-half hours

Answers

Answer:

3 hours

Step-by-step explanation:

Let Tamar did the job for x hours,

Since, her charges for 1 hour = $ 8,

⇒  Her charge for x hours = 8x,

Also, the bus fare = $ 6,

hence, her total charge = Bus fare + Her charges for x hours

= 6 + 8x,

If the total charge is at least $30,

⇒ 6 + 8x ≥ 30

⇒ 8x ≥ 24

⇒ x ≥ 3

Thus, the minimum number of hours for a babysitting job she would accept = 3 hours

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

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3 hours
Subtract 6 from 30 =24
24 divided by 8 = 3

A line with a slope of 3 passes
through the points (2, -1) and (4,5).
Which of the following is not an
equation of the line that passes
through those points?
A. y+1 = 3(x-2)
B. y = 3x-11
C. y = 3x-7
D. y-5 = 3(x-4)

Answers

Answer:

B. y = 3x -11

Step-by-step explanation:

the general equation : (y -y1) = s(x - x1)

with a slope = s = 3

the correct equations are :

passes point (2, -1)

=> y+1=3(x-2) => option A is correct

passes point (4, 5)

=> y-5=3(x-4) => option D is correct

<=> y-5= 3x-12

y = 3x-12+5

y= 3x -7 => option C is correct

so, the incorrect equation is option B.

y = 3x -11

Equation of line in point slope form

y+1=3(x-2)

A is true

y-5=3(x-4)

D is true

Simplify first

y=3x-1

And

y=3x-7

B is false

can someone pls pls help me?

Answers

9514 1404 393

Answer:

  31°

Step-by-step explanation:

The measure of inscribed angle A is half the measure of intercepted arc BC.

  ∠CAB = 62°/2 = 31°

According to exponent rules, when we multiply two power with the same base we _______ the exponents. Example: c^6⋅ c^4

Answers

Answer:

Step-by-step explanation:

According to exponent rules, when we multiply two power with the same base we ADD the exponents.

[tex]c^{6}*c^{4} = c^{6+4} = c^{10}[/tex]

Solve the system of equations: y=x-3. y=x^2+2x-4

Answers

Y = x - 3 ) x = y + 3
Y= x^2+2x-4 ) x = -1 + square root 5 + y
Answer is y=x√2(x−1)

pls help in this
7.6x5.2

Answers

Answer:

39.52

Step-by-step explanation:

Answer:

Table multiplication:

7.6 times

5.2 =

15.2

38.0

—-

39.52

Which of the following is equivalent to (16^3/2)^1/2

6
8
12
64

Answers

The answer is 8 because 16^1.5 is 64 and 64^.5 is 8

cotθ= tan30° find theta

Answers

Answer:

60

Step-by-step explanation:

Cot is the same as 1/tan so:

[tex]1/tan(theta) = tan(30)[/tex]

By rearranging the equation, we get:

[tex]1/tan(30) = tan(theta)[/tex]

By taking the inverse tan, we get:

[tex]theta = tan^-1 (1/tan(30)) =60[/tex]

Convert the following decimal to fraction 3.04

Answers

Answer:

3 1/25

Step-by-step explanation:

3.04

Do the decimal part first

.04 = 4/100

Reduce - cancel out 4

1/25

Put back the whole number

3 1/25

Answer:

3 [tex]\frac{1}{25}[/tex]

Step-by-step explanation:

I agree with the previous answer :

You need to do it part by part.

0.04 is equal to [tex]\frac{4}{100}[/tex]

[tex]\frac{4}{100}[/tex] simplified (we divide by 4 with both the denomantor and the numerator.) =

[tex]\frac{1}{25}[/tex]

And we still have those 3 wholes that we had in the beginning.

Now we add.

3 + [tex]\frac{1}{25}[/tex] = 3 [tex]\frac{1}{25}[/tex]

The number if possible subset of set A{2,3,4}is?​

Answers

Answer:

8

Step-by-step explanation:

The given set to us is ,

=> A = { 2 , 3 , 4 }

And ,

=> n(A) = 3

The Total number of subsets of a set A with n number of elements is given by ,

=> n(subsets) = 2ⁿ .

=> n( subsets) = 2³

=> n ( subsets ) = 8

Subsets—>=8
Therefore the answer is 8

Sushil was thinking of a number. Sushil divides by 7 then adds 7 to get an answer of 12. Form an equation

Answers

Answer:

The number is 35.

35 divided by 7 is 5, and 5 plus 7 is 12.

:)

Let's assume the number Sushil was thinking was 'x'

Now lets understand each part,

First, Sushil divides the number by 7, writing this in numbers will give,

[tex]\frac{x}{7}[/tex]

Sushil then adds 7 to digit, this will give

[tex]\frac{x}{7}+7[/tex]

Sushil tells that the answer for the following equation is 12, so

[tex]\frac{x}{7} + 7 = 12[/tex]

Therefore the equation Sushil made is [tex]\frac{x}{7} + 7 = 12[/tex]

Happy to help :)

If you need any help, feel free to ask

Busco amigos o amigas :D

Answers

Yo puedo a ser tu amiga

The world record for the longest someone has held their breath
was 24 minutes. How many seconds are in 24 minutes? 60 seconds
= 1 minute 24 minutes = seconds

Answers

Answer:

1440seconds

Step-by-step explanation:

1min = 60sec

24min = ?

24/1 × 60

1440sec

1440sec are in 24min I know because it’s on go-ogle

Students are given 3 minutes for each multiple-choice question and 5 minutes for each free-response question on a test. There are 15 questions on the test, and students are given 51 minutes to take it.

The system of equations shown can be used to find the number of multiple-choice questions, m, and the number of free-response questions, f, on the test.

m + f = 15

3m + 5f = 51

How many multiple-choice questions are on the test?

3
5
12
14

Answers

Answer:

12

Step-by-step explanation:

Answer:

m = 12, f = 3

So, there are 12 multiple-choice questions on the test.

someone please explain this question PART "b) i" ONLY!!!

Answers

Answer:   (n-1)^2

This is because we have a list of perfect squares 0,1,4,9,...

We use n-1 in place of n because we're shifting things one spot to the left, since we start at 0 instead of 1.

In other words, if the answer was n^2, then the first term would be 1^2 = 1, the second term would be 2^2 = 4, and so on. But again, we started with 0^2 = 0, so that's why we need the n-1 shift.

You can confirm this is the case by plugging n = 1 into (n-1)^2 and you should find the result is 0^2 = 0. Similarly, if you tried n = 2, you should get 1^2 = 1, and so on. It appears you already wrote the answer when you wrote "Mark Scheme".

All of this only applies to sequence A.

side note: n is some positive whole number.

What is the inverse of the function f(x) = x +3?

Answers

Answer:

The inverse is x-3

Step-by-step explanation:

y = x+3

To find the inverse, exchange x and y

x = y+3

Solve for y

x-3 = y+3-3

x-3 =y

The inverse is x-3

Answer:

x - 3

Step-by-step explanation:

f(x) = x + 3

y = x + 3

x = y - 3

Inverse is h(x) = x - 3

What is the value of x, if the volume of the cone is 12mm?
5 m
6 m
U
04 m
0 10 m
06 m
8
05 m

Answers

Answer:

V=1/3 pie r^2h (Formula)12×22/7=1/3×22/7×3^2×hEliminate 22/712=(9×h)/3Make "h" the subject of the equation h=36/9h=4m

Answer:

1. B 130 2/3ft^3

2. B 226 in^3

3. B 33 cm^3

4. A 4 m

5. D 15m

Step-by-step explanation:

I got a 100! For connexus students, hope this helps!!

6th grade math help me pleaseeee

Answers

Answer:

A

Step-by-step explanation:

Please help I’ll give brainliest

Answers

Answer:

285.214 cubic meters

Step-by-step explanation:

So I use this equation V=πr2h

All because this equation have a radius and so I put it in this form

V= π5.5^2 x 3

V=285

(I hope this help and if it’s wrong I am truly sorry)

The required volume of the given cylinder is 285.214 cubic meters. Option A is correct.

For a cylinder,
Height  = 3m
Radius = 5.5m
Volume = ?

What is volume?

Volume is defined as the ratio of the mass of an object to its density.

Here,
The volume of the cylinder is given as,
Volume = πr²h
Substitute the value in the equation,
Volume = 3.14×5.5²×3
volume = 285.214 cubic meters.

Thus, the required volume of the given cylinder is 285.214 cubic meters. Option A is correct.

Learn more about Volume here:

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Help


Will

Give



Brainlist




M

Answers

Answer:

mary has 135 coins.

Step-by-step explanation:

let the coins that john has be x

and coin mary than = 3x

according to the question equation is

x + 3x = 180

4x = 180

x = 180 / 4

x = 45

coins mary has  = 3x

=3*45

=135

Step 1: Subtract 3 from both sides of the inequality.
Step 2: __________
Step 3: Divide both sides of the inequality by the coefficient of x.

What is the missing step in solving the inequality 5 – 8x < 2x + 3?

Add 2x to both sides of the inequality.
Subtract 8x from both sides of the inequality.
Subtract 2x from both sides of the inequality.
Add 8x to both sides of the inequality.

Answers

Answer:

I think you will collect like terms

Answer:

D. Add 8x to both sides of the inequality

which of the following exponential functions represents the graph below?

Answers

Answer:

D

Step-by-step explanation:

We can start by taking a look at the x and y intercepts. When x=0, y=3. Plugging this into each function,

5 * 3^(0) = 5

3 * 5^(0) = 3

5 * (1/3)^(0) = 5

3 * (1/5) ^ (0) = 3

Therefore, our answer must be either B or D. Then, although y=0 isn't given on the graph, based on where the graph is heading, we can say that y is getting smaller as x gets larger. For a big number, such as 100, we know that

3 * 5^(100) is something big and 3 * (1/5) ^ (100) is something small*. Therefore, as y must get small, not big, as x gets larger, D is our answer.

* We know that this is something small because anything less than 1 to the power of something greater than 1 makes it smaller. For example, 0.5² is 0.25, which is smaller than 0.5

The volume of a piece of wood is 620cm3.
Its density is 0.85g/cm3.
Work out its mass

Answers

Answer:

527 grams

Step-by-step explanation:

Use the density formula, d = m/v

Plug in the density and volume, then solve for m (mass):

d = m/v

0.85 = m/620

527 = m

So, the mass is 527 grams

Make 'r' the subject of this formula: 3r - 5 = p

Answers

Answer:

hey I am not about what the question says but I think this is the answer:

3r=p+5

so the subject is 3r

3r - 5 = p
3r = p + 5
r = p + 5/3

please help me answer this

Answers

Answer:

pie

Step-by-step explanation:

plZ tell the answer fast
thank u​

Answers

Question:

Evaluate using a suitable identity:  (997)³

Answer:

991026973

Step-by-step explanation:

Given:

(997)³

To solve this using an appropriate identity;

i. Rewrite by splitting the value in bracket (997) into a difference of two numbers. i.e

(997)³ = (1000 - 3)³

ii. Use the appropriate identity

Since the split from (i) above gave a cube of the difference of two numbers,  we can apply the following identity for finding the cube of the difference of two numbers;

(a - b)³ = a³ - b³ - 3ab(a - b)

In this case;

a = 1000

b = 3

(iii) Substitute the values of a and b into the identity equation and solve;

(1000 - 3)³ = 1000³ - 3³ - 3(1000)(3)(1000 - 3)

(1000 - 3)³ = 1000000000 - 27 - 9000(997)

(1000 - 3)³ = 1000000000 - 27 - 8973000

(1000 - 3)³ = 991026973

Therefore,

(997)³ = 991026973

American Airlines sold a certain number of tickets from Los Angeles to the bay island in Honduras. They charged $120 for flight x and the remaining tickets for $280 for flight y. If the airline sold 59 tickets and collected a total of $12,520 from the sale of those tickets. A) how many tickets of each flight were sold. B) how much money was made from each flight?

Answers

Answer:

y =34

x = 25

Money made from flight x = 3000

Money made from flight y = 9520

Step-by-step explanation:

Tickets sold

59= x+y

Amount of money

120x + 280y = 12520

Using substitution

x = 59-y

120( 59-y) + 280y = 12520

7080 - 120y +280y = 12520

Combine like terms

160y +7080 = 12520

Subtract 7080

160y = 12520-7080

160y =5440

Divide by 160

160y/160 = 5440/160

y =34

Now find x x = 59-y = 59-34 =25

x = 25

Money made from flight x =

120*x = 120*25 =3000

Money made from flight y =

280*y= 280*34=9520

What value of m makes the equation 8am/4a5=2a6 true?

Answers

Answer:

m = 11

Step-by-step explanation:

11 - 5 = 6

someone help!!!!!!!!

Answers

Answer:

Top right

Step-by-step explanation:

First, we have "h is increasing on the interval (3, +∞)." This means that h must be increasing for all values 3 and higher. This is shown on the top left, top right, and bottom right graphs because when x goes up on each of them, the function increases as well. However, for the bottom left graph, this is not shown because as x goes from 3 to 4, the function decreases.

Next, the statement given is "h(4)=2". This means that when the x value is 4, the y value is equal to 2. This is true for the top left and top right pictures. However, for the bottom right, as the x value is 4 on the x axis, the corresponding y value is 1, not 2.

This leaves us with the top left and top right. The final characteristic given is "The domain of h is [3, +∞). This means that the x values of said function only go from 3 to infinity. As the top left graph has values of x below 3, this leaves the top right graph as h

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