Given m || n, find the value of x and y.

Given M || N, Find The Value Of X And Y.

Answers

Answer 1

Answer:

see my picture, bro. hope it can help

Given M || N, Find The Value Of X And Y.
Answer 2

Answer:

x = 15

y = 50

Step-by-step explanation:

Linear Pair

Two adjacent angles that sum to 180° (two angles which when combined together form a straight line).

The angles (8x + 10)° and y° form a linear pair.  

Therefore, equate the sum of these angles to 180° and isolate y:

⇒ (8x + 10)° + y° = 180°

⇒ 8x + 10 + y = 180

⇒ 8x + 10 + y - 10 = 180 - 10

⇒ 8x + y = 170

⇒ 8x + y - 8x = 170 - 8x

⇒ y = 170 - 8x

Corresponding Angles Postulate

When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.

The angles y° and (3x + 5)° are corresponding angles and are therefore congruent:  

⇒ y° = (3x + 5)°

⇒ y = 3x + 5

Substitute the second equation for y into the first equation for y and solve for x:

⇒ 3x + 5 = 170 - 8x

⇒ 3x + 5 + 8x = 170 - 8x + 8x

⇒ 11x + 5 = 170

⇒ 11x + 5 - 5 = 170 - 5

⇒ 11x = 165

⇒ 11x ÷ 11 = 165 ÷ 11

⇒ x = 15

Substitute the found value of x into one of the expression for y and solve for y:

⇒ y = 170 - 8x

⇒ y = 170 - 8(15)

⇒ y = 170 - 120

⇒ y = 50

Final solution:

x = 15y = 50

Related Questions

8. the floor of a rectangular meeting room has raised platform that is the same length as the room. the whole room has an area of 46 14/15, ( 7 1 /3 yards )
Part B Suppose there are of the platform is 7 34/45 square yards. what fraction of the entire floor is the raised platform. P.s make sure to show your work

Answers

Answer:The width of the room is .

Step-by-step explanation:

Consider the provided information.

It is given that the whole room has an area 46 14/15 sq yd.

This can be written as:

yd.

Now consider the figure shown below:

From the figure we know that the length of the rectangular meeting room is  yd.

The area of rectangle is

Let width of the rectangle is w yard.

Hence, the width of the room is .

active attachment

Step-by-step explanation:

The width of the room is .

Step-by-step explanation:

Consider the provided information.

It is given that the whole room has an area 46 14/15 sq yd.

This can be written as:

yd.

Now consider the figure shown below:

From the figure we know that the length of the rectangular meeting room is  yd.

The area of rectangle is

Let width of the rectangle is w yard.

Hence, the width of the room is .

active attachment

is 0.49 a rational or irrational number?
(please explain how you know this)

Answers

It’s an irrational number because, .49 is not a whole number

Answer:

Rational

Step-by-step explanation:

there are very few irrational numbers, such as

[tex] \sqrt{2} [/tex]

or π

most of irrational numbers have a lot of decimal digits. And also numbers with 2 decimal digits are all rational because you can write them as

[tex] \frac{49}{100} [/tex]

izzes
The radius of a circle is 4 centimeters. What is the area of a sector bounded by a 45° arc?
45⁰

Answers

The area of the sector is 6.28 cm².

What is a sector?A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends. A slice of pizza or a pie can be used as an analogy for the shape of a circle's sector.

So, the area of the sector:

The formula for the area of the sector: θ/360 πr²Where θ is 45° and r is 4cm.

Now, substitute the values in the formula as follows:

θ/360 πr²45/360 π4²1/8 π16π2

(Let π be 3.14)

π2 = 6.28

Therefore, the area of the sector is 6.28 cm².

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Please help me solve
2/3|4v+6|-2<10

Answers

Answer:

-6<v<3

Step-by-step explanation:

hope this helps


Aislinn bought a new car. After 8 months, the odometer read 14,010 miles. How many miles did
Aislinn average per month on her car?
OA. Aislinn drove an average of 876 miles per month.
OB. Aislinn drove an average of 1,168 miles per month.
OC. Aislinn drove an average of 1,401 miles per month.
D. Aislinn drove an average of 1,751 miles per month.
When
out their o
19 milon
4
if their

Answers

d) Aislinn's average per month on her car is 1,751 miles per month.

How to find the average speed?

The average speed is calculated by dividing the total distance traveled by the total time it took to travel that distance. Speed is the rate at which something moves at any given time.

Average speed is the average rate of speed over the course of a journey. Velocity exists as the directional speed of a moving object as an indication of its rate of change in position as observed from a specific frame of reference and measured by a specific time standard.

Given,

After 8 months, the odometer read 14,010 miles.

Solution:

t = 8,

d =  14,010 miles,

s = ?

s = d/t

s =  14,010/8

s = 1751 miles/month.

Aislinn drove an average of 1,751 miles per month.

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Find the LCM of 6, 24 and 32

Answers

Answer:

96

Step-by-step explanation:

Victoria is studying the population of the town of Oak Hills for a class project. Based on census data, she found that the equation p = 660n + 14,400 can be used to estimate the population, p, of Oak Hills n years after the year 1900. What will be the estimated population of Oak Hills in the year 2100?

A. 3,012,000
B. 146,400
C. 15,300
D. 132,000

Answers

Answer:

Step-by-step explanation:

2100 - 1900 =  200

660(200) + 14,400

p = 146400

146,400 people

The answer is B

What is The sum of two consecutive even integers divided by four is 1895

Answers

Answer:

I don't understand what the question is asking, so just see if you can get something from what I wrote below.

Step-by-step explanation:

Call the first number x and the next one x+2.

(x+ (x+2))/4 = 1895

Multiply by 4 on both sides...

x+(x+2) = 7580

Simplify on the left side...

2x+2 = 7580

2x = 7578

Divide by 2...

x = 3,789

x+2 = 3791

Erin loves to play sports. In all, she has earned 3 tennis trophies, 4 basketball trophies, 7 soccer trophies, and 1 volleyball trophy.
What is the ratio of Erin's tennis trophies to all of her trophies?
A) 3:4
B) 3:7
C) 3:12
D) 3:15

Answers

Step-by-step explanation:

option D is correct..

can we become friends???

Write an expression equivalent to \frac{9^5}{9^3} in the form of b^n.

Answers

The expression that is equivalent to \frac{9^5}{9^3} is 9^2.

What is an expression?

It should be noted that an expression is simply used to shoe the relationship between the variables that are illustrated.

In this case the given expression is 9^5 / 9^3. It should be noted that when dividing powers, we have to subtract them. Therefore, 5 - 3 = 2.

The value will be:

= 9^5 / 9^3

9^2

The expression is 9^2.

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Nerissa has 5 pink bows, 1 blue bow, and 4 purple bows in a box. She will randomly choose 1 bow from the box.
What is the probability Nerissa will choose a purple bow?
1/2
2/5
1/10
3/5

Answers

Answer: 2/5 is

Step-by-step explanation: 2/5 is equal to 40% and there is 10 bows

in a sale , normal prices are reduced by 17%. the normal price of a washing machine is reduced by £42.50. work out the sales price of the washing machine

Answers

The sales price of washing machine is 250.

What is sales price?

The price at which something sells or is offered for sale after having its price lowered is known as sales price. 

A sale price is the reduced cost at which goods or services are offered for sale. Typically, this price is provided for a brief period of time in an effort to boost sales during a slow period or get rid of extra inventory.

The promotional price is indicated as a percentage off of the standard list price.

Let x be the sales price of washing machine, then as per given

17% of x = 42.5

(17/100) * x =42.5

x = 250

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◄) Add.
8/11+6/11+6/11+7/15


Answers

Answer:

[tex]\frac{377}{165}[/tex]  or    2  [tex]\frac{47}{165}[/tex]

Step-by-step explanation:

What is a x? Show your work

Answers

Answer:

a value that is not yet shown

Step-by-step explanation:

Mark me as branlist to help

show me the standard algorithm for 546 divided by 13

Answers

The value of the quotient expression 546 ÷ 13 is 42

How to evaluate the expressions?

The expression is given as

546 divided by 13

Rewrite the expression as

546 ÷ 13

By the standard algorithm, we have

The expression can be solved using a calculator and with the use of standard algorithm i.e. partial decomposition

By the rule of partial decomposition, we have

a ÷ b = (c ÷ d) ÷ b

Where

a = c + d

Next, we expand the expression as follows:

546 ÷ 13 = (520 + 26) ÷ 13

Remove the brackets

So, we have

546 ÷ 13 = 520 ÷ 13 + 26 ÷ 13

Evaluate the quotients

So, we have

546 ÷ 13 = 40 + 2

Evaluate the sum

So, we have

546 ÷ 13 = 42

Hence, the solution of 546 ÷ 13 is 42

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Which is more 15% or 1/4

Answers

1/4 because 1/4 is 25% where 15% is 3/20 as a fraction

Answer: 1/4 is more

Step-by-step explanation:

1/4=25%

25%>15%

1/4>15%

1/4 is more than 15%

These marbles are placed in a bag and two
of them are randomly drawn.
What is the
probability of drawing two pink
marbles if the first one is NOT placed back
into the bag before the second draw?
Give your answer as a rational number, reduced to
simplest terms.
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to
get your answer.
Enter

Answers

If the first marble is not reinserted into the bag before the second draw, there is 1/15 probability of drawing two pink marbles.

What are dependent events?

When the result of one event affects the result of another, two events are said to be dependent. The likelihood of two connected events is the sum of the probabilities of the occurrences X and Y that happen after X.

It is given that there are two yellow, three pink and 5 blue marbles.

So, in the first draw, the probability of drawing pink marble is the ratio of the number of pink marbles to the total number of marbles in the bag.

[tex]p_1=\frac{3}{10}[/tex]

Now, in the second draw, the probability of drawing pink marbles will be affected as it is not kept back. So, in the second draw, the probability of drawing pink marble is the ratio of the number of remaining pink marbles to the remaining number of marbles in the bag.

[tex]p_2=\frac{2}{9}[/tex]

Given that both occurrences occur concurrently, multiply the likelihood of the first event by the probability of the second event.

[tex]p=p_1\times p_2\\\\=\frac{3}{10}\times\frac{2}{9}\\\\ =\frac{1}{15}[/tex]

So, If the first marble is not reinserted into the bag before the second draw, there is 1/15 probability of drawing two pink marbles.

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24 students in a class took an algebra test
​If 18 students passed the test, what percent passed

Answers

Answer:

only 75% of the class or students passed the algebra test

Answer: 75%

Step-by-step explanation: The equation for percentages is: part = percent • whole.

We can use our given values and plug them into the equation to solve for our percent.

In this problem, the “part” is 18, and our “whole” is 24, since the whole class has 24 people, and part of the class (18) passed.

P = % • W

18 = % • 24

(to solve for %, we have to get isolate it, or get rid of the • 24. We use division, the opposite operation, to cancel our • 24.)

18 = % • 24

÷24 ÷24

0.75 = %
Since percents are out of 100, we have to multiply 0.75 by 100.

0.75 • 100 = 75%

I hope this helped!

what is the quotient of 3.7x10^3 and 1.4x10^6 in scientific notation

Answers

3.7x10^3 = 111

1.4x10^6 = 84

Which is the graph of g(x)?
Which graph

Answers

Answer:

Option D.

Step-by-step explanation:

We are given with three function.

Plug in x=-2 in first functionf(x)= 3 so f(-2) = 3Plug in x=-2 in second function.

Sam counted 12 liters of hand sanitizer in the storage cabinet . He fills the seven of the examination rooms as follows : 350 mL , 600 mL , 475 mL, 580 720 , and 500 mL .a)How many total milliliters did sam use to fill the dispensers?B) After filling the dispensers, how many liters of sanitizer remain in the storage cabinet?

Answers

a) To know the total millilites that sam use to fil the dispenser, we will have to add all the seven amount filled as shown;

Total (in milliliters) = 350 mL + 600 mL + 475 mL + 580mL + 720mL + 500 mL

Total (in milliliters) = 3225mL

Hence the total milliliters that sam use to fill the dispensers is 3225millilitres

b) The amount liters of sanitizer remaining will be 12litres - 3225mL

Convert 3225mL to litres

3225mL = 3225/1000 Litres

3225mL = 3.225litres

The amount liters of sanitizer remaining = 12 - 3.225

The amount liters of sanitizer remaining = 8.775litres

Claire drove 204 miles in 4 hours. If she continued at the same rate, how far would she travel in 13 hours?

Answers

Answer:

15 hours

Step-by-step explanation:Easy math

Answer:

663

Step-by-step explanation:

Good luck on this

Pls, Help Right Now For 10!!!!!!!

Answers

Answer:

9

01000101010101010101011101010110110101011010

10101010101010110101101010101011011001010101

10101010100101010101010101101101101010101010

Graph the line with slope -3/4 and y-intercept 9.

Answers

The equation of the line with slope -3/4 and y intercept 9 is y=-3/4x+9.

Based on the conditions formulate:

m=-3/4

and b = 9

Write the equation of the linear function:

y=mx+b

substitute m=-3/4 and b=9 into y=mx+b:

y = -3/4x+9

A line's equation must be in the Slope-Intercept Form, y = mx + b, in order to be graphed using its slope and y-intercept.

This format makes it simple to read off the slope and y-intercept values. The y-intercept is the constant term b, whereas the slope is just the m coefficient of the variable x.

plot the y intercept (0,9) in the xy axis.

Use the slope to locate a different point beginning at the y-intercept. The direction you travel from one point to another is contained in the slope.

Hence the required graph is plotted.

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a wire of length 38 m is divided into two pieces and each piece is bent into a square. how should this be done in order to minimize the sum of the areas of the two squares? (give your answer in the form of a comma separated list of the lengths of the two pieces.)

Answers

The lengths of the two pieces of a wire will be 19,19.

Define square.

A square is a closed, two-dimensional object with four equal sides and four vertices. On either side, it has parallel sides.

The square of a square's side determines its area.

Given data -

Length of a wire = 38 m

As the wire is divided into two pieces,

Let the length of two pieces of wire be x and y m respectively.

As per given data, x + y = 38

Therefore, y = 38 - x    

As each piece is bent into a square, area of squares will be

[tex](x/4)^{2}[/tex]  and  [tex](y/4)^{2}[/tex]

Therefore, the sum of areas of two squares will be A = [tex](x/4)^{2}[/tex] +      [tex](y/4)^{2}[/tex]

A = [tex]x^{2}[/tex]/16 + [tex]y^{2}[/tex]/16

A = [tex]x^{2}[/tex]/16 + [tex](38-x)^{2}[/tex]/16

By differentiating, we will get

A' = [tex]\frac{2x}{16}[/tex] - [tex]\frac{2(38-x)}{16}[/tex]

In order to minimize the the sum of the areas of the two squares, we will take A' = 0

0 = x - (38 - x)

2x = 38

x = 19

Therefore y = 19

The length of two pieces of a wire should be 19 m each.

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What does (1,12) mean in this situation

Answers

(1, 12) means after 1 month 12 laundry pods are used.

Determined whether the relation is a function. If it is not a function, circle the ordered pairs that cause it not to be a function.

Answers

To be a function, each input can only go to one output

A. The input 1 goes to two different output values

(1,6) (1,7) causes it not to be a function

B. This is a function. Each input has only one output value

C. The input 0 goes to two different output values

(0,-5) snf (0,4) causes it not to be a function

Select the correct answer from the drop-down menu.
The solution set for 6a²-a-5=0 is
(2,-5/6)
{2,-12/5)
{-1,-5/6)
(1.-5/6)

Answers

Answer:

{1, -5/6}

Step-by-step explanation:

(6a+5)(a-1) = 0

6a+5 = 0 (or) a-1 = 0

a = -5/6 (or) a = 1

How many toys would Patricia build in 10 hours if she built 5 toys
every 6 minutes?

Answers

Answer:

500

Step-by-step explanation:

she can build 5 in 6 minutes. 6 × 10 is 1 hour

so you would do 5 × 10 = 50

then multiply 50 × 10 hours = 500 toys

Answer:

Patricia will build 500 toys in 10 hours

Step-by-step explanation:

5 toys                   ? toys

---------         =        ----------

6 minutes            10 hours

so we would turn the hours into minutes which would be

600 minutes.

5 toys                   ? toys

---------         =        ----------

6 minutes            600 mins

Then we would cross multiply and that will give us how many toys she can build in 10 hours, which is 500 toys.

Michael is going on a 3150 mile drive. He needs to stop for gas every 320 miles. How many times will he need to stop?

Answers

it’s not a whole number it’s 9.84375
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