EFGH is an isosceles trapezoid. If EH=4x-27 and FG=x+9, find the value of x.
PLEASE HELP ASAP!

EFGH Is An Isosceles Trapezoid. If EH=4x-27 And FG=x+9, Find The Value Of X.PLEASE HELP ASAP!

Answers

Answer 1

Answer:

If EFGH is an isosceles trapezoid,

if

EH=4x-27+

FG=x%2B9+

EG=3y%2B19

FH=11y-21

then EH=FG and EG=FH

set up equations:

4x-27=x%2B9 .......solve for x

4x-x=27%2B9

3x=36

x=36%2F3

3y%2B19=11y-21.......solve for y

11%2B19=11y-3y

30=8y

y=30%2F8

y=15%2F4

y=3.75

so,x=12    and y=3.75

you can also check the length of equal sides and equal diagonals:

EH=4%2A12-27+=21

FG=12%2B9+=21

EG=3%283.75%29%2B19=30.25

FH=11%283.75%29-21=30.25x=12

Step-by-step explanation:


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Step-by-step explanation:

That's the same assignment I have and you just have to think it through mate.

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Answer:

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Step-by-step explanation:

Since that is an equilateral triangle based off the fact that all the sides are the same variable (a) then that means 30 divided by 3 which equals 10. So now we know that a = 10. Lets input that information for the rectangle. Since there are 2 a's that equals 20 and the perimeter is 30 so b has to be 5 since 5 times 2 is 10 plus 20 equals 30. so now we know that a=10 and b=5 so our squares sides are all 5. The area of the square is 25

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Using the end result and subtracting the number we already know, it will lead to the letter / variables answer.

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Answers

Answer:

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Step-by-step explanation:

Answer:

Area of rectangle =LXB

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Answer:

b = 39

Step-by-step explanation:

Given that,

A rectangle STUV such that, ST = 2b-39 and VU = b

We need to find the value of b.

For a rectangle, the opposite sides are equal such that,

ST = VU

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Taking like terms together,

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Hence, the value of b is 39.

PLEASE HELP WITH THIS FRACTION

Answers

the answer is 2 5/18

Answer:

2 5/18

Step-by-step explanation:

What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?

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y−4=−15(x+8)

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Answers

Answer:

y-4=–911(x+8)

please mark as brainliest

Answer:y-4=–911(x+8)

Step-by-step explanation:

This is the correct answer i do k12

Kaleb had 136 songs on this MP3 player. If he deleted 56, what is the ratio of songs he kept to songs he deleted?

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Answer:

Hi! sorry bout the other guy he did the same thing to me ive been reporting all his answers and im sorry because it sucks anyways i hink its 80

Step-by-step explanation:

Select all expressions that model the area of a square with a side length of a.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

I took the test on K12

A phone manufacturer offers its customers two different versions of the same phone. The low storage version costs $350, and the high storage version costs $450. let X represent the manufacturer's income on a randomly chosen purchase of this phone. Based on previous data, here's the probability distribution of X along with summary statistics:

Low capacity High capacity
х income ($) 350 450
P(X) 0.65 0.35
Mean: μx=$385
Standard deviation: σx= $48
The manufacturer is considering a $25 price increase on both versions of the phone. Assume that this increase will not change the probability that corresponds to each version. Let Y represent their income on a randomly chosen purchase of this higher priced phone. What are the mean and standard deviation of Y?

Answers

Answer:

Mean = $410

Standard deviation = $48

Step-by-step explanation:

From the given information:

                              Low capacity         High capacity

Y income ($)             350 + 25                450  + 25

                                       = 375                    = 475

P(Y)                                0.65                      0.35

[tex]U_Y = (375 \times 0.65) + (475 \times 0.35)[/tex]

[tex]U_Y = 243.75 + 166.25[/tex]

[tex]\mathbf{U_Y = 410}[/tex]

[tex]Var _{(Y)} = E(Y^2) - E(Y)^2[/tex]

[tex]Var _{(Y)} = \Big [(375)^2 \times 0.65 + (475)^2 \times 0.35 \Big ]- (410)^2[/tex]

[tex]Var _{(Y)} =170375 - 168100[/tex]

[tex]Var _{(Y)} = 2275[/tex]

[tex]\sigma _Y = \sqrt{Var _{(Y)}}[/tex]

[tex]\sigma _Y = \sqrt{2275}[/tex]

[tex]\mathbf{\sigma _Y \simeq 48}[/tex]

This question is based on the concept of statistics. Therefore, the mean of Y is [tex]U_y[/tex] = 410 and the standard deviation of Y is  [tex]\sigma_{(Y)}[/tex] =48.

Given:

Low capacity = $350

High capacity = $450

P(X)  of low capacity = 0.65

P(X)  of high capacity = 0.35

Mean: μx=$385

Standard deviation: σ(x)= $48

We need to calculate the the mean and standard deviation of Y (Y represent their income on a randomly chosen purchase of this higher priced phone).

According to the question,

From the given information, it is observe that,

                             Low capacity         High capacity

Y income ($)             350 + 25                450  + 25

                                      = 375                    = 475

P(Y)                               0.65                      0.35

Now, calculate the mean of Y,

[tex]U_y = (375 \times 0.65) + ( 475 \times 0.35)\\U_y = 243.75 + 166.25\\\bold{U_y = 410}[/tex]

Now, calculate the variance of Y,

[tex]Var_{(Y)} = E( Y^2) - E ( Y) ^2\\\\Var_{(Y)} = [(375)^2 \times 0.65 + (475)^2 \times 0.35] - (410)^2\\\\Var_{(Y)} = 170375 - 168100\\\\Var_{(Y)} = 2275\\[/tex]

Calculating the standard deviation of Y,

[tex]\sigma_{(Y)} = \sqrt{Var_{(Y)}} \\\\\sigma_{(Y)} = \sqrt{2275} \\\\\sigma_{(Y)} = 47.6 \approx 48[/tex]

Therefore, the mean of Y is [tex]U_y[/tex] = 410 and the standard deviation of Y is  [tex]\sigma_{(Y)}[/tex] =48.

For more details, prefer this link:

https://brainly.com/question/23907081

Please help me... find the area of this shape

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Step-by-step explanation:

what is the value of "x"?

wow that's a lot

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second from left
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third from left
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last one
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area is 40x^4

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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#7 and #8

Solve these with proportions. Set them up like this:

[tex]\frac{part}{whole} =\frac{percentage}{100}[/tex]

Say I have a question that said "Arjun had Rs. 10, and his friend Raghav borrowed Rs. 5, what percentage of Arjun's amount did Raghav borrow?". 10 is the whole. It is the total amount of money that they have. 5 is the part. You are looking for the percentage. The 100 will always stay the same. Put the values that you know into the proportions, and replace what you don't know with the variable x. Like so:

[tex]\frac{5}{10} = \frac{x}{100}[/tex]

To solve this, use cross multiplication. Multiply the top left with the bottom right, and the bottom left with the top right. You will get:

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Simplify.

500 = 10x

Now, to solve this, you must isolate the x. To do this, divide both sides by 10, to get:

50 = x.

50 is your percentage.

You can solve this kind of problem by just remembering the proportion, filling in what you know, and then solving!

#8 and #9

To solve these types of problems, set up an equation.

Say that I had the question "Sowmya is baking cupcakes. She has 10 cups of flour, and she uses 2 cups for each cupcake. How many cupcakes can she bake?

What do you know?

You know she has 10 cups in total. You know that she uses 2 cups per cupcake.

So, you will set up the equation like this:

2x = 10

Where x is the number of cupcakes she makes.

To solve, you will isolate the variable by dividing both sides by 2 to get:

x = 5.

Sowmya can bake 5 cupcakes with 10 cups of flour.

Hope this helps!

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Answers

Answer: 4.32

Step-by-step explanation: 1.8 x 2.4 is 4.32!

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solve for x x−3/11=8

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What huh? I don’t rly understand

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Answer:

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Answers

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Step-by-step explanation:

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[tex]\to \frac{\sin^2 x}{1+ \cos x} = \frac{\sin^2 x}{1+ \cos x} \times \frac{1- \cos x}{ 1- \cos x}[/tex]

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How many points did Bo score, as represented by A?



Who scored 29 points, as represented by B?



How many points did the 3 players score all together, as represented by C?



What will the answer to the question be?

Answers

Answer:

67.65

Step-by-step explanation:

Answer

cat scored: 38.65+29=67.65

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bo 29 marks  

Step-by-step explanation:

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Answers

Ndiuewuneqdkiqjdqjiodqeiojqdoiqdioaejdijeioeajdihoqedjioqedjoiqhioeqoieqjd

Help please I would appreciate it please thanks

Answers

Answer:

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Step-by-step explanation:

a = 2

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