EFGH is an isosceles trapezoid. If EG=3y+19 and FH=11y-21, find the value of y.

EFGH Is An Isosceles Trapezoid. If EG=3y+19 And FH=11y-21, Find The Value Of Y.

Answers

Answer 1

Answer:

y = 5

Step-by-step explanation:

The diagonals of the isosceles EFGH are equal. Therefore:

EG = FH

EG = 3y + 19

FH = 11y - 21

Thus:

3y + 19 = 11y - 21

Collect like terms

3y - 11y = -19 - 21

-8y = -40

Divide both sides by -8

y = 5


Related Questions

In our amusement park that we built this week, the ride Diablo’s Domain had revenue of $250,000,000 in its first year as expected. The company paid $750,000 for insurance or $3 for every $1,000 in revenue. If the park is wildly successful and revenue increases by 25% in the second year and the rate of $3 for every $1,000 holds true, how much would it pay for insurance? Do you think it’s reasonable for insurance costs to increase proportionally? Why or why not?

Answers

Answer:

The amount to be paid for insurance will be $ 937,500. In this context, it is reasonable that insurance costs increase proportionally, as the ride will have a greater use and, therefore, a greater exposure to risk.

Step-by-step explanation:

Given that the amusement park Diablo's Domain ride generated $ 250,000,000 in revenue, and the company paid $ 750,000 in insurance for that game ($ 3 for every $ 1,000 in profit), to determine the amount of insurance that should be paid if the winnings increase by 25% and the same proportion of 3/1000 to be paid is maintained, the following calculation must be made:

(250,000,000 x 1.25) x (3/1000) = X

312,500,000 x 0.003 = X

937,500 = X

Therefore, the amount to be paid for insurance will be $ 937,500.

The tape diagram represents the ratio of your monthly allowance to your friend's monthly allowance. The monthly allowances total $90. How much is each allowance?

you [][][][][]
friend[][][][]

Answers

Hope this helps! Have a good day

Your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.

From the given tape diagram, the ratio of your monthly allowance to your friend's monthly allowance is 5:4.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 5+4=9

Now, your monthly allowance = 5/9 × 90

= 50

So, your friend's monthly allowance = 90-50 = 40

Therefore, your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ2

there are 12 ribbons all of them equal 3 feet how long is each ribbon?

Answers

Answer:

i think

12 x 3 = 36 feet long

Answer:

36 feet and maybe check me out on sou-ndcloud and spo-tify and rate a sound I made "Jealousy is a bltch I hate her" might wanna turn down ur headphones and audio in general

Step-by-step explanation:

Line A is parallel to line B, if the measure of<2 is 78 degree, what is the measure of < 5 degree?

Answers

Answer:

h

Step-by-step explanation:

h

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

5) If f(x) = 3x + 4, for which value of x does f(x) = 22

Answers

Answer:

6

Step-by-step explanation:

22 = 3x+4

subtract 4 from both sides

18 = 3x

divide both sides by 3

6 = x

Camille buys $50 worth of books at Target. She has a coupon for 20% off her entire purchase. What is the total cost of the books after the coupon is applied?

Answers

Answer:

$40

Step-by-step explanation:

If something is 20% off divide the number by 5 then take that number and minus it from the original number

For example

50 ÷ 5 =10

50 - 10 = 40

I hope this helps!

Does Mario Kart have a secret agenda? Is it promoting capitalism, socialism, or communism?

Answers

I would say that despite the games childish and innocent story, the underlying theme seems to be promoting communism globally. Hope this helped
Pretty much all video games promote capitalism.

please solve[tex]e^x=44[/tex] Thank You

Answers

The exact form is ln(44) and the decimal form is 3.78

Each day a company used 2 / 8 of a box of paper. How many would they have used after 5 days?

Answers

Answer:

Now to secrtly stalk this man

Step-by-step explanation:

They have used after 5 days, 1 full box and 1/4 of another box.

What is fraction?

Fractions are used to represent smaller pieces of a whole.

Given that, Each day, a company used 2 / 8 of a box of paper.

They are using 1/4 box of paper each day,

So, after 5 days = 5*1/4 = 5/4 = 1+ 1/4

Hence, They have used after 5 days, 1 full box and 1/4 of another box.

For more references on fraction, click;

https://brainly.com/question/10354322

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12(x - 1) = - 4(3-X) + 8x

Answers

This equation has infinite solutions, any real number makes it true.

What is greater? 50 ppm (parts per mile) or 1.1 meters?

Answers

50 ppm BZBDBDBDBDHDJ

What is 3x-6+7y-4y plsssssssssss helpppppppp meeere

Answers

Answer:

3

+

3

6

Step-by-step explanation:

what is the answer 2x5-5=

Answers

the answer to that question is 5

Homework help ???????????

Answers

Answer:

15

Step-by-step explanation:

The calculation is:

endamount - startamount divided by number of days.

(237-27) / 14 = 15

Answer:

237 - 27 = 210 (she already had 27 to start, so subtract that from the total)

210 ÷ 14 = 15 (divide by 14 because there are 14 days in two weeks)

so she bought 15 stickers each day

Solve the equation for x. −3=x3−6
A. x=−27
B. x=9
C. x=0
D. x=−6

Answers

Umm I think it would be C all thought I got 1 when doing the work

what is the name for the marked?

Answers

Answer:

C not sure though

Step-by-step explanation:

I think it’s C

Explanation: it’s a connected line and it can’t be DAC since there isn’t a option for that

Hope this helped! :)

Nikki dove into a pool and swam underwater. The table shows how her depth changed during a 4-second time period.

Which equation shows the relationship in the table between the time, t, and the depth, d?

Answers

Answer:d

Step-by-step explanation:

After selecting 180 of its employees to from a new division, a company discovers that engineers outnumber analysts by a 3:1 ratio in the division. Oly analysts and engineers work in the new division. How many more analysts must the company add to the division if it wants to have a 1:1 ratio of engineers to analysts at the new division?

Answers

Answer:

I think its 90

Step-by-step explanation:

3x plus 1x is 4x divide 180 but 4 and get 45 so that meab there are 135 and 45

you need 90 more analysts to have a 1 to 1 ratio

PLZ NEED HELP QUICK PLZ

Answers

Answer:

Slope = 3

Step-by-step explanation:

For a proportional relationship, the slope of the line is simply y/x.

So using any given pair of values from the table, say (1, 3), the slope is:

y/x = 3/1

Slope = 3

aight man can someone help me lol

Answers

Answer: 11/24

Step-by-step explanation:

whenever u see this — (

it means the opposite of. so the opposite of -5/8 is +5/8.

-1/6 + 5/8 = 11/24

PLEASE HELP IM TIMED whats 1 divded by 1

Answers

Answer:

1

Step-by-step explanation:

1 divided by anything is that number. So with that information 1 divided by on would be 1.

Suppose that the functions s and t are defined for all real numbers x as follows.
s(x)=2x-2
t(x)=3x
Write the expressions for (s-t)(x) and (s+t)(x) and evaluate (s⋅t)(-1)

Can't seem to figure it out

Answers

Answer:

Step-by-step explanation:

Given functions are,

s(x) = 2x - 2

t(x) = 3x

(s - t)(x) = (2x - 2) - 3x

            = -x - 2

            = -(x + 2)

(s + t)(x) = (2x - 2) + 3x

             = 5x - 2

(s . t)(x) = (2x - 2)(3x)

            = 6x² - 6x

(s . t)(-1) = 6(-1)² - 6(-1)

            = 6 + 6

            = 12

(3x + 4) (1 - 1)
Evaluate the limit lim
a.-3
b. 3
c. 1
d limit does not exist

Answers

it d lol cause d is the smartest answer i know
The answer is d because 1-1=0 and you can’t simplify any further

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!

Answers

Answer: y  ≥  − 2

Step-by-step explanation : hope it helps :)

Please help me! I’m begging you I’ll mark you brainly!

Answers

Answer:

A = 2x^2 + 11x + 15

B = 3x^2 - x - 2

A-B = -x^2 +12x +17

Brenda purchased a new watch in 2012. The value of her watch, t years after she bought
it, can be modeled by the function A(t) = 117(0.93)
Drag and drop the correct number or phrase to left of each sentence to make the
sentence true for the function

Answers

Answer:

The rate of change in the value of the watch is modeled by 0.93.

The rate of change represents a decrease in value.  

The rate represents a 7% change per year.

Step-by-step explanation:

The rate of change in the value of the watch is modeled by 0.93.

The rate of change represents a decrease in value.  

The rate represents a 7% change per year.

The following information should be considered:

Since the function A(t) = 117(0.93)So it means that the rate of change should be modeled by 0.93.There is the reduction in the value. Also it is 7% change per year.

learn more: https://brainly.com/question/834969?referrer=searchResults

Calculus Problem shown in the attached image. I understand the concept of integrals but this particular question has me perplexed. I doubt its all that complex I just don't fully understand what its asking.

Answers

(a) For some given x, A(x) gives the signed area under f(t) on the interval [a, x]. Since f(t) is simple to integrate, and with a = 2, you can compute it exactly:

A(x) = ∫₂ˣ f(t) dt

A(x) = ∫₂ˣ (3t + 2) dt

A(x) = (3/2 t ² + 2t ) |₂ˣ

A(x) = 3/2 x ² + 2x - 10

which is parabolic and easy to graph.

(b) Differentiating A(x) is also easy if you use the "closed" form above:

A'(x) = (3/2 x ² + 2x - 10)'

A'(x) = 3x + 2

and this function tells you how the area under f(t) changes as you adjust the size of the integration interval.

You can get the same result using the fundamental theorem of calculus:

A'(x) = d/dx ∫₂ˣ f(t) dt = f(x) = 3x + 2

help!!!!!!!!!!!!!!!!! due in 15min

Answers

Answer:

5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

When you put the i out in place for x you multiply so

4x9=36

7x9=63

2x9=18

9x9=81

y = 5x - 10
Can you solve for x

Answers

Answer:

[tex]x = \frac{1}{5}y + 2[/tex]     or       [tex]x = \frac{y+10}{5}[/tex]     (Not sure which one is preferred in your case)

Step-by-step explanation:

Key skills needed: Evaluating expressions

1) We are given: [tex]y = 5x-10[/tex]

2) To solve for the x variable, we want to leave the term with "x" by itself.

This means we add 10 to both sides

--> [tex]y + 10 = 5x[/tex] (Since -10 and +10 cancel out to make 0 or nothing)

3) Then we divide by 5 on both sides to get "x" completely by itself.

-----> [tex]\frac{y+10}{5} = x[/tex]

4) You can keep it as is so --> [tex]x = \frac{y + 10}{5}[/tex]

or you can divide "y" by 5 and "10" by 5 and get --> [tex]x = \frac{1}{5} y + 2[/tex]

(I am not sure which form is preferred one is preferred as the teacher matters)

Hope you understood and have a nice day!!

Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
5
5
y-intercept:

10
-
10
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.
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