Given m∥n, find the value of x and y.
will give brainiest

Answers

Answer 1

Answer:

The value of x and y are x = 15 and y = 63

Step-by-step explanation:

If two adjacent angle formed a straight line, then the two angles formed a pair of linear anglesThe sum of the measures of the linear angles is 180°

From the given figure

∵ The angles of measures (9x - 7)° and (4x - 8)° are adjacent angles

∵ The angles of measures (9x - 7)° and (4x - 8)° formed a line

∴ They formed a pair of linear angles

∵ The sum of the measures of the linear angles is 180°

→ That means add them and equate the sum by 180

(9x - 7) + (4x - 8) = 180

→ Add the like terms

∵ (9x + 4x) + (-7 + -8) = 180

∴ 13x + (-15) = 180

→ Remember (+)(-) = (-)

∴ 13x - 15 = 180

→ Add 15 to both sides

∴ 13x - 15 + 15 = 180 + 15

∴ 13x = 195

→ Divide both sides by 13

∵ [tex]\frac{13x}{13}[/tex] = [tex]\frac{195}{13}[/tex]

x = 15

∵ Lines m and n are parallels

∵ A line intersected them

∵ The angles of measures (2y + 2), (9x - 7) are interior alternate angles

The interior alternate angles are equal in measures

2y + 2 = 9x - 7

∵ x = 15

→ Substitute the value of x

∴ 2y + 2 = 9(15) - 7

∴ 2y + 2 = 135 - 7

∴ 2y + 2 = 128

→ Subtract 2 from both sides

∴ 2y + 2 - 2 = 128 - 2

∴ 2y = 126

→ Divide both sides by 2

∴ [tex]\frac{2y}{2}[/tex] = [tex]\frac{126}{2}[/tex]

y = 63

Answer 2

The values of x and y are 15 and 63, respectively

The angles in the figure are: (9x - 7)° and (4x - 8)°

These angles are adjacent angles.

So, we have:

[tex]\mathbf{9x - 7 + 4x - 8 = 180}[/tex]

Collect like terms

[tex]\mathbf{9x + 4x = 180 + 8 + 7}[/tex]

[tex]\mathbf{13x = 195}[/tex]

Divide both sides by 13

[tex]\mathbf{x = \frac{195}{13}}[/tex]

[tex]\mathbf{x = 15}[/tex]

Also, we have:

[tex]\mathbf{2y + 2 = 9x - 7}[/tex] -- interior angles

Subtract 2 from both sides

[tex]\mathbf{2y = 9x - 9}[/tex]

Substitute 15 for x

[tex]\mathbf{2y = 9\times 15 - 9}[/tex]

[tex]\mathbf{2y = 126}[/tex]

Divide both sides by 2

[tex]\mathbf{y = 63}[/tex]

Hence, the values of x and y are 15 and 63, respectively

Read more about angles in parallel lines at:

https://brainly.com/question/2279752


Related Questions

Use these methods to normalize the following group of data:
200, 300, 400, 600, 1000
a) min-max normalization by setting min = 0 and max = 1
b) z-score normalization
c) normalization by decimal scaling

Answers

Step-by-step explanation:

b is the answer , z-score normalization

Normalization is applied to data values in other to ensure that the data scales well, such that data values conforms to a certain range. The output of the various normalization techniques are given below ;

Given the data:

200, 300, 400, 600, 1000

1.)

Min - Max normalization :

[tex]\frac{value - min}{max - min} [/tex]

Min = minimum = 200

Max = maximum = 1000

Value = 200 :

[tex]\frac{200 - 200}{1000 - 200} = 0[/tex]

Value = 300 :

[tex]\frac{300 - 200}{1000 - 200} = 0.125[/tex]

Value = 400 :

[tex]\frac{400 - 200}{1000 - 200} = 0.25[/tex]

Value = 600 :

[tex]\frac{600 - 200}{1000 - 200} = 0.5[/tex]

Value = 1000 :

[tex]\frac{1000 - 200}{1000 - 200} = 1[/tex]

Normalized values = (0, 0.125, 0.25, 0.5, 1)

2.)

Zscore normalization :

[tex]\frac{value - μ}{σ} [/tex]

Using a calculator :

Mean, μ = 500Standard deviation = 316.227

Value = 200 :

[tex]\frac{200 - 500}{316.227} = -0.949[/tex]

Value = 300 :

[tex]\frac{300 - 500}{316.227} = -0.632[/tex]

Value = 400 :

[tex]\frac{400 - 500}{316.227} = -0.316[/tex]

Value = 600 :

[tex]\frac{600 - 500}{316.227} = 0.316[/tex]

Value = 1000 :

[tex]\frac{1000 - 500}{316.227} = 1.581[/tex]

Normalized values = (-0.949, -0.632, -0.316, 0.316, 1.581)

3.)

Decimal Scaling :

Maximum value = 1000

Hence, we can divide our values by 10000

200 / 10000 = 0.02

300/1000 = 0.03

400/1000 = 0.04

600/1000 = 0.06

1000/1000 = 0.1

Hence, the Normalized values (0.02, 0.03, 0.04, 0.06, 0.1)

Learn more : https://brainly.com/question/19132215

-413.4=-15.9n please help

Answers

Answer:

[tex]\boxed {n = 26}[/tex]

Step-by-step explanation:

Solve for [tex]n[/tex]:

[tex]-413.4 = -15.9n[/tex]

-Switch sides:

[tex]-15.9n = -413.4[/tex]

-Divide both sides by [tex]15.9[/tex] and expand by multiplying both numerator and denominator by [tex]10[/tex]:

[tex]\frac{-15.9n}{-15.9} = \frac{-413.4}{-15.9}[/tex]

[tex]n = \frac{-4134}{-159}[/tex]

-Divide [tex]-4134[/tex] and [tex]-159[/tex]:

[tex]n = \frac{-4134}{-159}[/tex]

[tex]\boxed {n = 26}[/tex]

Therefore, the value of [tex]n[/tex] is [tex]26[/tex].

Find all whole numbers m such that m and 5m+1 are prime numbers.

Answers

Answer:

2 only

Step-by-step explanation:

Only even PRIME number is 2.

Why do we need EVEN PRIME numbers?

Say we do 11*5 we get 55 but when we add one we get 56

Meaning: An odd number multiplied by an odd number plus an odd number equals EVEN number which isn't PRIME. 2 being the ONLY even prime is therefore the only number we can choose.

rationalise the denominator 1/√20

Answers

Answer:

1/10

Step-by-step explanation:

uf no me dij hi g go be h in go i

Step-by-step explanation:

Given:

1/√20

The denominator = 20

We know that

The rationalising factor of a is a. To rationalise the denominator of 1/√20, we multiply this by √20/√20.

1/√20

→ (1/√20) * (√20/√20)

→ [1(√20)]/[(√20)(√20)]

→ (√20)/√(20×20)

→ √20/20 Ans.

A builder is designing a rectangular patio that has a length of 12 units. Find the total number of square units the patio will cover if the width is 4

Answers

Answer:

48 square units

Step-by-step explanation:

Use the area formula, A = lw, where l is the length and w is the width

Plug in the length and width:

A = lw

A = (12)(4)

A = 48

So, the patio will cover 48 units²

48 square units .. hopes this helps ;)

A car covered a certain distance at a speed of 24 mph. While returning, the car covered the same distance at a speed of 16 mph. What was the average speed of the car for the entire journey? \

Answers

Answer:

19.2 mph

Step-by-step explanation:

just trust me

determine the slope of the line that passes through each pair of points (3,8) and (1,5)

Answers

Answer:

3/2

Step-by-step explanation:

What percent is:
45 of 36

Answers

Answer:

45 is 125% of 36, and 36 is 80% of 45.

Step-by-step explanation:

18. Which product is greater. (-4)-(-6) or
(-7).(-8)? Explain.

Answers

Answer:

So when u do (-4)-(-6) it equals 2.

But when u do (-7)*(-8) it equals 56

Therefore saying that (-7)*(-8)=56 is the greatest product.

Step-by-step explanation:

a plane takes off from an airport and travels at a steady speed of 350 miles per hour. which of these graphs best represents the distance the plane is from the airport, y, after traveling for x hours?

Answers

Answer:

what do the graphs look like, it would have a slope of 350

Step-by-step explanation:

Simplify.
7√10+2√10-√10

Answers

7√10+2√10-√10

Every square root has the same radicand, which is 10. So, simply combine terms.

7 + 2 - 1 = 9 - 1 = 8

Answer: 8√10

Tthe area of a circle increases at a rate of 5 cm^2/s.

Required:
a. How fast is the radius changing when the radius is 4 cm?
b. How fast is the radius changing when the circumference is 5 cm?

Answers

Answer:

(a) 0.198 cm/s (b) 1 cm/s

Step-by-step explanation:

It is given that,

The rate of change of area of a cicle, [tex]\dfrac{dA}{dt}=5\ cm^2/s[/tex]

(a) The area of a circle is given by :

[tex]A=\pi r^2[/tex]

Differentiate both sides,

[tex]\dfrac{dA}{dt}=2\pi r\dfrac{dr}{dt}\\\\\text{Put the value of dA/dt and r = 4 cm}\\\\\dfrac{dr}{dt}=\dfrac{dA/dt}{2\pi r}\\\\\dfrac{dr}{dt}=\dfrac{5}{2\pi \times 4}\\\\\dfrac{dr}{dt}=0.198\ cm/s[/tex]

(b) Circumference, [tex]C=2\pi r[/tex] = 5 cm

[tex]\dfrac{dA}{dt}=2\pi r\dfrac{dr}{dt}\\\\\dfrac{dr}{dt}=\dfrac{dA/dt}{2\pi r}\\\\\dfrac{dr}{dt}=\dfrac{5}{5}\\\\\dfrac{dr}{dt}=1\ cm/s[/tex]

Hence,

(a) 0.198 cm/s (b) 1 cm/s

What is the measure of angles DEC and GAH?

Answers

Answer:

DEC is 30°

because 180° - 50° would be 40°

Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f '(c) = f (b) − f (a) b − a . If the Mean Value Theorem cannot be applied, explain why not.

f(x) = x^3 + 2x, [-1,1]

Answers

Answer:

There is a value of [tex]c[/tex] in (-1, 1), [tex]c = 0.577[/tex].

Step-by-step explanation:

Let [tex]f(x) = x^{3}+2\cdot x[/tex] for [tex]x \in[-1,1][/tex], we need to prove that [tex]f(x)[/tex] is continuous and differentiable to apply the Mean Value Theorem. Given that [tex]f(x)[/tex] is a polynomical function, its domain comprises all real numbers and therefore, function is continuous.

If [tex]f(x)[/tex] is differentiable, then [tex]f'(x)[/tex] exists for all value of [tex]x[/tex]. By definition of derivative, we obtain the following expression:

[tex]f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} \frac{(x+h)^{3}+2\cdot (x+h)-x^{3}-2\cdot x}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} \frac{x^{3}+3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot x+2\cdot h-x^{3}-2\cdot x}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} \frac{3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot h}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} 3\cdot x^{2}+ \lim_{h \to 0} 3\cdot x \cdot h+ \lim_{h \to 0} h^{2}+ \lim_{h \to 0} 2[/tex]

[tex]f'(x) = 3\cdot x^{2}+2[/tex] (Eq. 2)

The derivative of a cubic function is quadratic function, which is also a polynomic function. Hence, the function is differentiable at the given interval.

According to the Mean Value Theorem, the following relationship is fulfilled:

[tex]f'(c) = \frac{f(1)-f(-1)}{1-(-1)}[/tex] (Eq. 3)

If we know that [tex]f(-1) = -3[/tex], [tex]f(1) = 3[/tex] and [tex]f'(c) = 3\cdot c^{2}+2[/tex], then we expand the definition as follows:

[tex]3\cdot c^{2}+2 = 3[/tex]

[tex]3\cdot c^{2} = 1[/tex]

[tex]c = \sqrt{\frac{1}{3} }[/tex]

[tex]c \approx 0.577[/tex]

There is a value of [tex]c[/tex] in the interval (-1, 1), [tex]c = 0.577[/tex].

Can someone Help me ASAP plss!!

Answers

A, it will increase

A local hamburger shop sold a combined total of 721 hamburgers and cheeseburgers on Thursday. There were 71 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?

Answers

Answer:771-71/2= 350 hamburgers and 350 +71 cheeseburgers

Step-by-step explanation:

Simplify the fraction 36/8

Answers

Answer:

4 4/8

Step-by-step explanation:

36 can go into 8, 4 times. With 4 left over so the answer is 4 4/8.

Answer:

[tex]4\frac{1}{2}[/tex]

Step-by-step explanation:

An exam has two probability problems, 1 and 2. If 37% of the students solved problem 1 and 12% of the students solved both problems 1 and 2, what is the percent of students who solved problem 2 given that they solved problem 1

Answers

Answer:

63%

Step-by-step explanation:

37% did not solve problem 2

100% - 37% = 63%

Will mark as brainless if you answer correctly

Answers

Answer:

ans=10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10(4-7) /   -(4 - 1)

10(-3)  /    -(3)

-30    /    -3 =

10


3z2 - 2z + 8
-
(10z2 +7z - 12)

Answers

Answer: 7z²-9z+20

Step-by-step explanation:

PEMDAS - Please Excuse My Dear Aunt Sally - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Find -48a divided by 8 when a =1 . Write the answer in simplest form.

The solution is

Answers

Answer: -6

if a=1 then -48a=-48

so when we divide by 8 we ger -48/8 which is -6

The solution to -48a divided by 8 when a =1  is -6.

what is expression?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.

Let's examine the writing of expressions. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the expression x/2 + 6. Complex riddles are solved using mathematical expressions.

Given:

-48a divided by 8 when a =1 .

Now, put a=1 in -48a

=-48 x 1

=48

Now, -48 is divided by 8

=-48/8

= -6

Hence, the solution is -6.

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ2

when a pendulum swings, at which point is potential energy highest?

Answers

The bottom. Mark Brainliest

Multiply and simplify. (12 2/3)(3 1/4)

A) 36 1/12
B) 36 1/6
C) 41 1/12
D) 41 1/6

Answers

Answer:

41 1/6 is the answer lets do it step by step

Step-by-step explanation:

You are usually taught to multiply the improper fractions and simplify the result.

.. (38/3)*(13/4) = (38/4)*(13/3)

.. = (19/2)*(13/3)

.. = (19*13)/6

.. = 247/6

.. = 41 1/6

You can also multiply the parts.

.. (12 2/3)*(3 1/4) = 12*3 + 12*(1/4) +(2/3)*3 +(2/3)*(1/4)

.. = 36 +3 +2 +1/6

.. = 41 1/6

hope this helps:D

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

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{12 \dfrac{2}{3}\times 3\dfrac{1}{4}}[/tex]

[tex]\huge\textbf{Simplifying:}[/tex]

[tex]\mathsf{12 \dfrac{2}{3}\times 3\dfrac{1}{4}}[/tex]

[tex]\mathsf{= \dfrac{12\times3+2}{3}\times \dfrac{3\times4+1}{4}}[/tex]

[tex]\mathsf{= \dfrac{36 + 2}{3} \times \dfrac{12 + 1}{4}}[/tex]

[tex]\mathsf{= \dfrac{38}{3}\times\dfrac{13}{4}}[/tex]

[tex]\mathsf{= \dfrac{38\times13}{3\times4}}[/tex]

[tex]\mathsf{= \dfrac{494}{12}}[/tex]

[tex]\mathsf{= \dfrac{494\div2}{12\div2}}[/tex]

[tex]\mathsf{= \dfrac{247}{6}}[/tex]

[tex]\mathsf{\approx 41 \dfrac{1}{6}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\boxed{\mathsf{Option\ D.)\ 41 \dfrac{1}{6}}}}\huge\checkmark[/tex]

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

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

twice a number k plus the quantity s minus 2

Answers

Answer:

2k+s-2

im assuming

Forty-seven thousand people ride the city bus every day. On
average, about how many people ride the bus each hour?

Answers

1,958 I think hope this helps

6^3x=14 Show your work

Answers

Answer:

Is 3x supposed to be an exponent?

Step-by-step explanation:

Both possible answer are provided

3x as an exponent and as 6 times 3x

The ratio of boys to girls is 1:1.
If there are 250 boys, how many
girls are there?

Answers

250 for every 1 boy there is 1 girl simple

Store A sells 3 candy bars for $3.45.
Store B charges $5.45 for 5 candy bars.
Store C sells 7 candy bars for $7.56.
Which store offers the best value?

Answers

Answer:

store C

Step-by-step explanation:

if you divide 7.56 by 7 it'll be $1.08 per candy bar.

PLS ANSWER I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLYYY! PLS AND TY! :D

Answers

Answer: Kell would be making more money in 19 hours.

Step-by-step explanation:

If you add it up, Kell makes 136$ in only 16 hours but mariko makes 133 in the full 19 hours. Which means that Kell would make more in 19 hours. The total Kell makes in 19 hours is 161.5 and $161.5 > $133. Let me know if you need any more help!

In the figure shown, What is the value of x? a. 57° b. 123° c. 33° d. 147°

Answers

Answer:
d. 147 degrees

Explanation:
Please check the picture attached after reading the explanation :)

Assuming that l1 and l2 are parallel, we can identify that the angle at the intersection point of l3 and l2 is the alternate exterior angle of the angle that measures 57 degrees.

This means that that angle also measures 57 degrees.

We can see that l2, l4 and l3 form this little triangle at the corner and we now know that one of its angles measure 90 degrees and the other measures 57 degrees.

In a triangle, the sum of all its interior angles is equal to 180 degrees so we can find the last angle of the triangle by subtracting 90 and 57 from 180.

180-57-90
=33 degrees

A straight lines has an angle measure of 180 degrees as well, so we can find angle x by subtracting 33 from 180.

180-33
=147

Therefore, the measure of angle x is 147 degrees.

I hope this helps!
Other Questions
The New England colonies were established for what general reason?Political purposesReligious freedomGovernmental reasonsSocial networking In rural Peru, the technology of water infrastructure provides what benefit(s)?Select any answers that apply.SaferMore sanitaryBetter management of business financesOffers privacyIncreased learning and income generating potentialAbility to communicate with global community 2:5 =4: ?Answer Explain Royal Decking has five products in its inventory. Information about the December 31, 2021 inventory is below:Product Cost Sales PriceA $40 $60B 80 100C 40 80D 100 130E 20 30A) Selling costs include a sales commission equal to 20% of selling price and shipping costs equal 10% of cost. What per unit value should Royal Decking use for each of its products when applying LCNRV? B) If Royal has 1,000 units of each product, what should total inventory be on the balance sheet if the company applies LCNRV at the product level? The perimeter of a square with side length s 1. If a solution of sodium chloride has 22.3 g ofNaCl, and a volume of 2.00 L, what is its molarity? Find the length of the diagonal of a square with perimeter 56 Would you rather be poor and have friends or be rich and have no friends? When you divide 7.7 by 700, how many decimal places will the quotient have? You are running for school president. Write a few lines about yourself giving your name and where you come from and describe some of your positive character traits to persuade students to vote for you. You may use some of the words in the list Compare the actions of President Adams to the actions of our actual president, and tell me if you see similar actions between both presidents ( Adams and Trump) solve.1/x = 1/5x = x-1/5x Please help! If we write [tex]\sqrt{2} + \frac{1}{\sqrt{2}} + \sqrt{3} + \frac{1}{\sqrt{3}}[/tex] in the form [tex]\frac{a \sqrt{2} + b \sqrt{3}}{c}[/tex], such that [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are positive integers and [tex]c[/tex] is as small as possible, then what is [tex]a+b+c[/tex]? PLEASE HELP ME 16 POINTS PLEASE HELP Ty takes 1 hour to read 35 pages, 2 hours to read 70 pages, and 3 hours to read 105 pages. What happens to a microscope if placed at the edge WILL GIVE BRAINLIST!!!!! Select the correct answer. Which graph represents this function? f (x) = 1/2x -5 A. B. C. D. There is a great deal of vegetation in a rain forest because there is _____.a vast tundraa long wintera cool, dry climatea lot of sunlight and water The only barrier that stood between Nat Turner and his victims was a gun his master kept.True False What happens to a substance when it is heated? aThermal energy is decreased bPotential energy is increased cKinetic energy is increased dIt does not change its physical shape