Find x and y in the figure​

Find X And Y In The Figure

Answers

Answer 1

Answer:

x=10, y=25

Step-by-step explanation:

First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as

4y + (2y+3x) = 180

6y+3x = 180

Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as

4y + 2y + (5x-20) = 180

6y + 5x -20  =180

Our two equations are thus

6y + 5x - 20 = 180

6y + 3x = 180

If we subtract 6y from both sides in each equation, we can say

5x - 20 = 180-6y

3x = 180-6y

Therefore, we can write

5x-20 = 180-5y = 3x

5x-20=3x

subtract 3x from both sides to make all x variables on the same side

2x-20 = 0

add 20 to both sides to isolate the x and its coefficient

2x = 20

divide both sides by 2 to isolate x

x = 10

Therefore,

x = 10

6y + 3x = 180

6y + 30 = 180

subtract 30 from both sides to isolate the y and its coefficient

6y = 150

y = 25


Related Questions

dose -8+a=-6 over 2 equal 2

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

because BLA BLA I just need points

Giving Brainliest for right answers :)

Answers

Answer:

∠ DFE = 15°

Step-by-step explanation:

The inscribed angle DFE is half the measure of its intercepted arc, that is

∠ DFE = [tex]\frac{1}{2}[/tex] DE = [tex]\frac{1}{2}[/tex] × 30° = 15°

Answer:

<DFE = 15

Brainliest, please!

Step-by-step explanation:

<DFE is an inscribed angle. An inscribed angle measures half as much as it's opposite arc.

30 x 1/2 = 15

7.
Find the number of real number solutions for the equation. x2 – 18 = 0

A. cannot be determined
B. 0
C. 1
D. 2

Answers

C. 2

The solutions are sqrt(18) and -sqrt(18)

ABC is a right triangle. If AB= 3 and AC= 7, find BC. Leave your answer in the simplest radical form.
1.) 2√13
2.) √58
3.) 4√3
4.) 2√3

Answers

AB=3AC=7

Using Pythagorean theorem

[tex]\\ \sf\longmapsto BC^2=AB^2+AC^2[/tex]

[tex]\\ \sf\longmapsto BC^2=7^2+3^2[/tex]

[tex]\\ \sf\longmapsto BC^2=49+9[/tex]

[tex]\\ \sf\longmapsto BC^2=58[/tex]

[tex]\\ \sf\longmapsto BC=\sqrt{58}[/tex]

pls help with this question

Answers

Try this

(x^2 + x - 12) + (x^2 - 8x + 16)

2y - 1

√36

i wanted to help you! :)

Answer:

[tex]\frac{3}{3}[/tex] = 1   (everything basically cancels)

Step-by-step explanation:

what is the predecessor of -36

Answers

Answer:

-35

Step-by-step explanation

A predecessor is something that came before the current version, and -36 is negative so before -36 is -35

Answer:

the correct answer is -34

Step-by-step explanation:

A predecessor is something that came before the current version.

hope it helps you

For what values of k does the equation (2k + 1)x^2 + 2x = 10x – 6 have two
real and equal roots?

Answers

The equation has two real and equal roots for [tex]k = \frac{5}{6}[/tex]

In this question, we use the concept of the solution of a quadratic equation to solve it, considering that a quadratic equation in the format:

[tex]ax^2 + bx + c = 0[/tex]

has two equal solutions if [tex]\Delta = b^2 - 4ac[/tex] is 0.

------------------------------------

In this question:

The equation is:

[tex](2k+1)x^2 + 2x = 10x - 6[/tex]

Placing in the correct format:

[tex](2k+1)x^2 + 2x - 10x + 6 = 0[/tex]

[tex](2k+1)x^2 - 8x + 6 = 0[/tex]

Thus, the coefficients are: [tex]a = 2k + 1, b = -8, c = 6[/tex]

------------------------------------

Delta:

We want it to be positive, so:

[tex]\Delta = b^2 - 4ac[/tex]

[tex]\Delta = 0[/tex]

[tex]b^2 - 4ac = 0[/tex]

[tex](-8)^2 - 4(2k+1)(6) = 0[/tex]

[tex]64 - 48k - 24 = 0[/tex]

[tex]-48k + 40 = 0[/tex]

[tex]-48k = -40[/tex]

[tex]48k = 40[/tex]

[tex]k = \frac{40}{48}[/tex]

[tex]k = \frac{5}{6}[/tex]

The equation has two real and equal roots for [tex]k = \frac{5}{6}[/tex]

A similar question is found at https://brainly.com/question/12144265

Find the surface area of the composite figure

Answers

268 cm^2

Step-by-step explanation:

Find the SA of the purple rectangular prism:

LEFT FACE EXCLUDED

Front: (6)(2) = 12 cm^2

Back: 12 cm^2

Top: (7)(2) = 14 cm^2

Bottom: 14 cm^2

Right: (7)(6) = 42 cm^2

TOTAL: 94 cm^2

SA of the pink triangular prism:

RIGHT FACE EXCLUDED

Front: (1/2)(6)(8) = 24 cm^2

Back: 24 cm^2

Bottom: (7)(8) = 56 cm^2

Left: (10)(7) = 70 cm^2

TOTAL: 174 cm^2

Add both SAs of figures:

174 + 94 = 268 cm^2

9) A trapezoid has an area of 60 cm? and its height is 6 cm and one base is 8 cm.

Answers

Answer:

Step-by-step explanation:

Iihgghh

Consider the functions...

Answers

[tex]g(x) = \sqrt{x - 5} + 2 \\ g(5) = \sqrt{5 - 5} + 2 = 0 + 2 \\ g(5) = 2[/tex]

I hope I helped you^_^

Select the correct answer from each drop-down menu.
The table shows certain values of a cubic function.

Answers

Answer:

7 and - infinity

Step-by-step explanation:

The function is decreasing in nature. The function has a maxima when x is near 7 and as the function is decreasing, the function will approach -infinity as x approaches positive infinity.

Sue was paid $384 for working 32 hours. How many hours will she have to work to earn $672?​

Answers

Answer:

56

Step-by-step explanation:

Answer:

56 hours

Step-by-step explanation:

I divided 384 dollars by 3w hours and then was Sue made 12 an hour. Then I tried mukyiplong different times until I discovered 12×56=672. So, 56 hours

Which statement about this system of equations is true?
5
A.
The system has no solution.
The system has a unique solution at (0,0).
B.
C. The system has a unique solution at (0,3).
D. The system has infinitely many solutions.

Answers

Answer:

A

Step-by-step explanation:

No solution because the line will never intersect each other (cuz the gradient is the same)

A rectangle has width 65 mm and length 72 mm What is the area of the rectangle in cm2 ?

Answers

Answer:

Step-by-step explanation:

Area of rectangle: l×b

Length = 72mm

= 7.2cm

Breadth = 65mm

= 6.5cm

(We know that 10mm = 1cm)

Area = 7.2×6.5

= 46.8cm²

The area of the rectangle is 46.8cm²

Must click thanks and mark brainliest

Answer:

area of a rectangle is (l×w)

Step-by-step explanation:

1cm=10mm

hb65mm

1cm×65mm

allover10mm

=6.5cm

do the same to 72mm to get 7.2cm

you then say 6.5cm×7.2cm

=46.8cm2

hope this helps

Which of the following values is the 75th percentile?

lower quartile
median
upper quartile

Answers

Answer:

upper quartile

Step-by-step explanation:

upper quartile

-8n+34=6(5+4n) help please​

Answers

Answer:

n=1/8

Step-by-step explanation:

-8n+34=6(5+4n)

We move all terms to the left:

-8n+34-(6(5+4n))=0

We add all the numbers together, and all the variables

-8n-(6(4n+5))+34=0

We calculate terms in parentheses: -(6(4n+5)), so:

6(4n+5)

We multiply parentheses

24n+30

Back to the equation:

-(24n+30)

We get rid of parentheses

-8n-24n-30+34=0

We add all the numbers together, and all the variables

-32n+4=0

We move all terms containing n to the left, all other terms to the right

-32n=-4

n=-4/-32

n=1/8

Answer:

n= 0.125 or 1/8

Step-by-step explanation:

Distrubute 6 into (5+4n). It should give you 30+24n.

The equation should now look like this: -8n+34=30+24n.

Swap -8n with 30, giving -30+34=8n+24n. Add the numbers and the pronumerals together.

Now it will look like 4=32n. Divide the numbers, but unfortunately the number is small so the answer will have to be a decimal or a fraction. So it's 0.125 or 1/8.

If I didn't explain everything or something is wrong, please comment. I just signed up, so it's my first time using this.

Please help explanation if possible

Answers

Answer:

120 $12 tickets and 180 $15 tickets

Step-by-step explanation:

Given the 2 equations

12x + 15y = 4140 → (1)

x + y = 300 ( subtract y from both sides )

x = 300 - y → (2)

Substitute x = 300 - y into (1)

12(300 - y) + 15y = 4140 ← distribute and simplify left side

3600 - 12y + 15y = 4140

3600 + 3y = 4140 ( subtract 3600 from both sides )

3y = 540 ( divide both sides by 3 )

y = 180

Substitute y = 180 into (2)

x = 300 - 180 = 120

Number of $12 tickets : 120 ; Number of $15 tickets : 180

Man spends 1/5 of his salary on shoes and 2/3 on school fess what fraction of his salary is left

Answers

Answer: 2/15

Explanation :

1 - (1/5 + 2/3)
1 - (3/15 + 10/15)
1 - 13/15
15/15 - 13/15
= 2/15

please please please help asap

Answers

Answer:

1,3,5

Step-by-step explanation:

81 is a perfect square so it can be written as an integer

11.8 is rational because it can be written as a fraction (107/9)

sqrt(6) isn't a perfect square so it is irrational

3/7 is a fraction so it is rational

8.57 is a terminating decimal so it is rational

Which of the following expressions is equal to -12 ?
a.-15 - 3
b. -3 - (-9)
c. 5 - 17
d. -6 - (-6)

Answers

Answer:

c. 5 - 17

Step-by-step explanation:

a. -15 - 3 = -18

b. -3 - (-9) = 6

c. 5 - 17 = -12

d. -6 - (-6) = 0

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{Option A. \boxed{\bf \downarrow}}[/tex]

[tex]\huge\textsf{- 15 - 3}\\\huge\textsf{= -15 + (-3)}\\\huge\textsf{= \bf -18}\\\boxed{\huge\textsf{\bf -18 \boxed{\neq} -12}}\\\bullet\huge\text{ \bf Option A. cannot be your result.}[/tex]

[tex]\huge\text{Option B. }\boxed{\downarrow}[/tex]

[tex]\huge\textsf{-3 - (-9)}\\\huge\textsf{= -3 + 9}\\\huge\textsf{= \bf 6}\\\boxed{\huge\textsf{\bf 6 \boxed{\neq} -12}}\\\bullet\huge\text{\bf Option B. cannot be your result.}[/tex]

[tex]\huge\text{Option C. \boxed{\downarrow}}[/tex]

[tex]\huge\textsf{5 - 17}\\\huge\textsf{= 5 + (-17)}\\\huge\textsf{= \bf -12}\\\boxed{\bf -12 \ \boxed{=} -12}\\\huge\text{\bf Option C. could be the result.}[/tex]

[tex]\huge\text{Option D. \boxed{\downarrow}}[/tex]

[tex]\huge\textsf{-6 - (-6)}\\\huge\textsf{= -6 + 6}\\\huge\textsf{= \bf 0}\\\boxed{\bf 0 \ \boxed{\neq} -12}\\\huge\text{\bf Option D. cannot be your result.}[/tex]

[tex]\boxed{\huge\textsf{Answer: \bf Option C. \underline{\underline{5 - 17}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\boxed{\huge \boxed{\frak {Amphitrite1040:)}}}[/tex]

PLEASE HELP WILL GIVE BRAINLIEST!!!!

Answers

Answer:

wqhg

Step-by-step explanation:

its situated in u.s, in quahog , rhode island

factorise complete 4-(X-1)2?​

Answers

Answer:

hope it helps you

Step-by-step explanation:

mark it brainliest answer

three less than twice the square of a number is 47.

Answers

Answer:

5

Step-by-step explanation:

[tex]5^{2}[/tex] = 25

25 * 2 = 50

50 - 3 = 47

Hope that this helps!

Answer:

Step-by-step explanation:

let the number be x

Square of a number: x²

Twice the square of a number = 2*x² = 2x²

Three less than twice the square of a number = 2x² - 3

2x² - 3 = 47     {Add 3 to both sides}

2x² = 47 + 3

2x² = 50        {Divide both sides by 2}

 x² = 50/2

x² = 25          Take square root

x = √25

x = 5

Here is a list of fractions 18/45 14/30 10/25 8/20 16/40 one of these fractions are not equivalent to 2/5 write down this fractions

Answers

Answer:

14/30

Step-by-step explanation:

How to simplify: • divide both numerator and denominator by their GCF.18/45= 18 ÷ 9 / 45 ÷ 9= 2/514/30= 14 ÷ 2 / 30 ÷ 2= 7/1510/25= 10 ÷ 5 / 25 ÷ 5= 2/58/20= 8 ÷ 4 / 20 ÷ 4= 2/516/40= 16 ÷ 8 / 40 ÷ 8= 2/5

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

[tex]\frac{14}{30}[/tex] is not equivalent to [tex]\frac{2}{5}[/tex] in the list of fractions [tex]\frac{18}{45}, \frac{14}{30} , \frac{x}{y} \frac{10}{25}, \frac{8}{20}, \frac{16}{40}[/tex].

Equivalent Fractions

Equivalent fractions represent the same value even though they look different.

How to determine the Equivalent fractions?

We know we can find an equivalent fraction of a given fraction by or dividing both the numerator and denominator of the given fraction with the same number (maybe LCM or HCF of the numerator or denominator).

[tex]\frac{18}{45}=\frac{18/9}{45/9}=\frac{2}{5}[/tex] (since [tex]9[/tex] is HCF of [tex]18, 45[/tex])

[tex]\frac{14}{30}=\frac{14/2}{30/2}=\frac{7}{15}[/tex] (since [tex]2[/tex] is HCF of [tex]7, 15[/tex])

[tex]\frac{10}{25} =\frac{10/5}{25/5} =\frac{2}{5}[/tex] (since [tex]5[/tex] is HCF of [tex]10, 25[/tex])

[tex]\frac{8}{20} =\frac{8/4}{20/4} =\frac{2}{5}[/tex] (since [tex]4[/tex] is HCF of [tex]8, 20[/tex])

[tex]\frac{16}{40} =\frac{16/8}{40/8} =\frac{2}{5}[/tex] (since [tex]8[/tex] is HCF of [tex]16, 40[/tex])

Thus, [tex]\frac{14}{30}[/tex] is not equivalent to [tex]\frac{2}{5}[/tex].

Learn more about Equivalent fractions here- https://brainly.com/question/17912

#SPJ2

What does "The product of n and 6 is subtracted from five-sixths of b" mean​

Answers

The product means it’s the answer to multiplication. So now we know n and 6 are being multiplied. Then it is subtracted from 5/6b. This could be written as 6n - 5/6b.

This was my understanding. Sorry if i was wrong!

find the largest 5 digit number which is a perfect square

Answers

Answer:

Hello,

[tex]316^2=99856[/tex]

Step-by-step explanation:

Since

[tex]\\\sqrt{99999} =316,22618...\\\\The\ largest\ 5\ digit\ number\ which\ is\ a \ perfect\ square\ is\ 316^2=99856}\\[/tex]

A number y satisfies y 24th power - 256 = 0. What equation does the number x =y to the 4th power satisfy?

Answers

We conclude that the equation x = y^4 satisfies x = 256.

What does the equation x = y^4 satisfy?

First, we know that:

y^4 - 256 = 0

With this equation, we can find the value of y, it will give:

y^4 = 256

Then:

y = 256^(1/4) = 4

Now if we have the equation x = y^4, we can write:

x = y^4 = 256

x = 256

We conclude that the equation x = y^4 satisfies x = 256.

If you want to learn more about equations:

https://brainly.com/question/13763238

#SPJ1

Answer ASAP please!
….

Answers

For triangle a use Pythagorean theorem to find the hypotenuse.
A^2+b^2=c^2
15^2+9^2=c^2
225+81=306
C^2=306
C=17.49 or square root of 306

For b) 18^2+B^2=23^2
324+B^2=529
B^2=205
B=14.32 or square root of 205


What is the surface area of the cylinder?
180pi ft2
192pi ft2
252pi ft2
396pi ft2

Answers

[tex]\sf \longrightarrow \: \:Surface \: area \: of \: cylinder \: = \: 2\pi \: r \: h \: + \: 2\pi \: {r}^{2} [/tex]

r represents radius of cylinder

h represents height of cylinder

[tex]\sf \longrightarrow \: \: r \: = \: \frac{Diameter}{2} \\ [/tex]

[tex]\sf \longrightarrow \: \: r \: = \: \frac{12}{2} \\ [/tex]

[tex]\sf \longrightarrow \: \: r \: = \: \cancel\frac{12}{2} \: \: ^{6} \\ [/tex]

[tex]\sf \longrightarrow \: \: r \: = \:6 \: ft[/tex]

[tex]\sf \longrightarrow \: \: h \: = \: 15 \: ft[/tex]

Now , Substuting the values

[tex]\sf \implies \: \:2 \: \times \: \pi \times \: 6 \: \times \: 15 \: \: + \: \: 2 \: \times \: \pi \times \: {6}^{2} [/tex]

[tex]\sf \implies \: \:2 \: \times \: \pi \times \: 90 \: \: + \: \: 2 \: \times \: \pi \times \: 36[/tex]

[tex]\sf \implies \: \:180 \: \pi \: + \: \: 72 \: \pi[/tex]

[tex]\sf \implies \: \:252 \: \pi[/tex]

Hence, the surface area of cylinder is 252 π ft²

I need help please. The question is already there. Tysm. 20 points.

Answers

Answer:

$109 and 35%

Step-by-step explanation:

49.05 is the sale price and the discount is 55%. What’s the original price?

price/ 1- discount

49.05/ 1 - 0.55

49.05/ 0.45

109

for the other part

to find the discount subtract final price from original price

94 - 61.10 = 32.9

Which would be 35% in percent form.

Other Questions
I need to know the answer pleaseeeeee Find the missing part. Why have some people protested the practices of global economic organizations? "According to new growth theory, ______. A. prosperity will last but growth will not last because eventually the real interest rate falls, which slows the capital accumulation needed for growth B. growth can persist indefinitely C. growth rates and income levels per person around the globe will converge D. labor productivity grows most quickly in countries with the largest populations" Consider the function f(x) = square root of x+3a. In your own words, explain the meaning of f'(2).b. Now using mathematical notation, write f'(2) as a limit.(Plz hurry and help meee) What does -12 - (-5)= why styrene undergoes and ionic polymerization at a faster rate than p methoxystyrene I need help please anyone ?????!!! Simplify [tex]x^{2} - 36[/tex] Kellys making mom for homecoming she needs a piece of ribbon that is greater than 2/3 of a yard but less than 7/8 of a yard which length of the ribbon listed below could she use Graph the equationy = 5xUse the graphing tool to graph the line. Suppose your body filtered 340 g of chloride ions out of the bloodstream and then returned332 g to the bloodstream.How much of the chloride ions would there be in the urine?b. Determine the percent of chloride ions returned to the bloodstream. Geometry, please answer question ASAP how long should the ladder be if they want to use all the canle they have? use the law of sines to find the length. HELP! Which type of model best represents simple molecules?A. wireB. ribbonC. structural formulaD. Lewis dot Find the product: 12 x 3/5 = I. Fill in each gap with a suitable word to complete the passage.I come (1). a family of five people. My mother is a very caring woman. She takes theresponsibility for running the (2).. She is always the first one to get up (3).inthe morning to make sure that we leave home (4).school having eaten (5).anddresses in suitable clothes. In the afternoon, after hospital, she rushes (6).the market,then hurries (7).so that dinner is ready on the table by the time Dad (8).home.Dad (9).always willing to give a hand with (10).the house. what is the intersection of culture and interpersonal communication of how you see me A rectangular bathroom mirror has a perimeter of 22 feet. Its area is 18 square feet. What are the dimensions of the mirror? Please help explanation if possible