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:


Related Questions

PLEASE HURRY I'LL MARK BRAINLIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!1 Bo, Mike, and Cat are playing a game involving decimals in math class. So far, they have scored 100.2 points combined. Bo scored 38.65 points and Mike scored 29 points. How many points did Cat score?

A fraction bar labeled C divided into 3 parts: Bo, B, and Cat. Bo has A points. B has 29 points. Cat has question mark point.
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

100.2-67.65=32.55#

bo 29 marks  

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) ?

y+4=−911(x−8)

y+4=−15(x−8)

y−4=−15(x+8)

y−4=−911(x+8)

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

If a Swoog can Swig, and a Swig can Swoog, can a Swoog Swig, a Swig Swoog?
A) Fire Truck
B) Croissant
C) Yes
D) Computerized Beard Foundation​

Answers

Answer:

C. yes loll :P

Step-by-step explanation:

Hav a good day

Answer:

Yes?

Step-by-step explanation:

solve for x x−3/11=8

x=​

Answers

What huh? I don’t rly understand

How many 1/8 are in 1 and 1/4
WRITE YOUR ANSWER AS A FRACTION NOT A MIXED NUMBER!!
PUt correct answer too please

Answers

Answer:

There are 8 - 1/8's in 1 (as, 8×1/8=1); and

There are 2 - 1/8's in 1/4 (as, 2×1/8=1/4).

Does the decimal 12/11 terminate or repeat

Answers

Answer: 1.09090909

Step-by-step explanation:

Use the fractions 36in./1yd and 2.54 cm/1 in convert 3yd to cm

Answers

Ndiuewuneqdkiqjdqjiodqeiojqdoiqdioaejdijeioeajdihoqedjioqedjoiqhioeqoieqjd

can somebody help me please

Answers

Answer:

37

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

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

Can someone help me with this?

Answers

Answer:

A=10 cm

B=5 cm

Area of square = 25 cm

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

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

Answers

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:

What is 1.8 x 2.4 Find the missing partial products PLEASE HELP!!

Answers

Answer: 4.32

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

0.8 x 2 = 1.6

0.4 x 0.8 = 0.32

What is the completely factored form of this polynomial?
A + 12x2 + 32

Answers

What is the completely factored form of this polynomial?
A + 12x2 + 32

A+24+32
A+56

Answer:

(x^2 + 4)(x^2 + 8)

Step-by-step explanation:

Please help
I'm giving 99 points

Answers

Answer:

The box surface area is the one third of the first box she made

Step-by-step explanation:

Write the phrase "the product of a number p and 5" as an expression.
An expression for the phrase is.

Answers

Step-by-step explanation:

the product of a number p and 5=p*5

p5 or 5p

hope it helps you

i need help with finding area whats the area of a 3m an 7m regtangle​

Answers

Answer:

34

Step-by-step explanation:

Answer:

Area of rectangle =LXB

L=7m

B=3m

so 7m multiply by 3m gives 21 so the area is 21

you guys help me please​

Answers

Answer:

i got the first one

plz help me rate me brainest

what is the value of x when x:3=2.13

Answers

It’s 0.71 is the answer I divid

Answer:

The other dude was wrong :( the answer is 6.39

Step-by-step explanation:

I took the test on K12

find the volume of the cylinder
give your answer to 1 decimal place

Answers

Answer: it would help if you added an image

Step-by-step explanation:

Answer:

Where is the cylinder?

Step-by-step explanation:

HELP PLEASE...........

Answers

7)3000/5000*100=60%
8)7000-6000=1000
1000/7000*100=14.3%
9)33.6/2.1=16
10)201.15/1.25 =160.92 but you only round up in order to get it fill so 161 jugs

#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:

5(100) = 10x

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!

Help please I would appreciate it please thanks

Answers

Answer:

the roots are 5 and 1/2

Step-by-step explanation:

a = 2

b = -11

c = 5

Plug values into formula:  (-b ± √b² - 4ac) ÷ 2a

the discriminant comes out to be √81

(11 + 9) / 4 = 5

(11 - 9) / 4 = 1/2

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

a2

4a

a × a

a + a + a + a

a × a × a × a

Answers

Answer:

a2

Step-by-step explanation:

a florist can creat 16 bouquets of flowers during an 8-hour workday. how many bouguets can the florist creat per hour what is the unit rate​

Answers

Answer:2 per hour

Step-by-step explanation:16 divided by 8 equals 2 making it 2 per hour

Answer:

A florist can create 2 bouquets of flowers per hour

Step-by-step explanation:

16/8 = 2

Simplify the following expressions and match them with their solution.

a. sec^2x -1
b. 1/sinx
c. sinx cotx
d. sin^2x/1+cosx

Answers

Answer:

Following are the solution to the given choices:

Step-by-step explanation:

In point a:

[tex]\to \sec^2x -1 = \tan^2 x[/tex]

In point b:

[tex]\to \frac{1}{\sin x} = cosec x[/tex]

In point c:

[tex]\to \sin x \cot x = \sin x \times \frac{\cos x}{ \sin x}\\[/tex]

                    [tex]= \cos x \\[/tex]

In point d:

[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]

               [tex]= \frac{\sin^2 x (1- \cos x)}{1- \cos^2 x}\\\\= \frac{\sin^2 x (1- \cos x)}{\sin^2 x}\\\\= 1-\cos x\\[/tex]

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

what is 23 x 2 + 23 x 2 =

Answers

Answer:

92

Step-by-step explanation:

Answer:

23 x 2 + 23 x 2= 92

Step-by-step explanation:

hava gud day :P

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

Answers

Answer:

16x^2

Step-by-step explanation:

what is the value of "x"?

wow that's a lot

find area of separate rectangles

left most rectangle is
8x^2 * 2x^2 = 16x^4

second from left
6x^2 * 2x^2 = 12x^4

third from left
4x^2 * 2x^2 = 8x^4

last one
2x^2 * 2x^2 = 4x^4

16x^4 + 12x^4 + 8x^4 + 4x^4 = 40x^4

area is 40x^4

Bryan has a number cube and
the spinner shown. What is
the probability of rolling a
prime number and spinning
yellow?
01/12
01/8

Answers

Answer:

1/8

Step-by-step explanation:

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

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Answers

the answer is 2 5/18

Answer:

2 5/18

Step-by-step explanation:

please help asap!!!!!!

Answers

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

Putting all the values,

2b-39 = b

Taking like terms together,

2b-b = 39

b = 39

Hence, the value of b is 39.

Which of the following shows a reflection of the triangle over the horizontal axis?

Answers

Answer:

Either C or D

Step-by-step explanation:

Because I can only see a and b and both are wrong. Try taking a better pic then ill answer it again.

Answer:

The fourth option

Step-by-step explanation:

It reflexs accros the x axis which is horizontal

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