Violin strings are parallel. Viewed from above, a violin bow in two different positions forms two transversals to the violin strings. Find x and y in the diagram.

Violin Strings Are Parallel. Viewed From Above, A Violin Bow In Two Different Positions Forms Two Transversals

Answers

Answer 1

ANSWER



[tex]x=10[/tex]


and


[tex]y=20[/tex]




EXPLANATION



Since corresponding angles are equal,


[tex]4x+y=60---(1)[/tex]




Alternate angles are also equal, therefore,


[tex]8x+y=100---(2)[/tex]



Equation (2) minus equation (1) gives,



[tex]\Rightarrow 4x=40[/tex]




[tex]\Rightarrow x=10[/tex]




We put [tex]x=10[/tex] in to equation (1)





[tex]4(10)+y=60[/tex]



[tex]y=60-40[/tex]




[tex]y=20[/tex]






Answer 2

To find x and y in the violin string diagram, use the properties of angles formed by transversals and parallel lines. Corresponding angles and interior angles are key relationships. In the example, x = 15° and y = 90°.

The problem involves understanding the relationships between angles formed by transversals and parallel lines. When a violin bow is placed across parallel violin strings, it forms transversals that create various angles.

Given that the violin strings are parallel, the interior angles formed on the same side of the transversal are supplementary. Let's consider the setup of the diagram:

Identify corresponding angles, alternate interior angles, and alternate exterior angles.Use the properties of parallel lines and transversals to set up equations.Solve for the unknowns (x and y).

Example: Suppose the violin strings and the bow are positioned in such a way that we can see the angles formed. Assume the given angles are as follows:

Angle 1 = 30° (corresponding angle)Angle 2 = (2x)° (alternate interior angle)Angle 3 = y°

Step 1: Since Angle 1 and Angle 2 are corresponding angles and lie between parallel lines:

30° = 2x → 2x = 30° → x = 15°

Step 2: To find y, use the fact that the sum of angles around a point is 360°. Suppose y is opposite to the sum of Angle 1 and another given angle on the same side:

If the other angle on the same side is 60°:

y = 180° - (Angle 1 + 60°) → y = 180° - (30° + 60°) → y = 90°

Thus, the values of x and y are determined to be 15° and 90°, respectively.


Related Questions

Oak tree is 48 feet tall.Oak tree is as 8 times tall mike.How tall is Mike?

Answers

If the oak tree is 48 feet tall, and is 8 times taller than Mike, you must divide 48 by 8 to find that Mike is 6 feet tall. To check your work, multiply 6 by 8 and see that you get 48 feet. Hope I helped!!

Please award brainliest!:)

Final answer:

Mike is 6 feet tall. This is determined by dividing the height of the oak tree, which is 48 feet, by 8, because Mike's height is said to be 1/8 of the oak tree's.

Explanation:

The subject of this question is a basic math problem involving division. The question states that the oak tree is 8 times as tall as Mike. So, to find Mike's height, we need to divide the oak tree's height by 8.

Applying this to the details given:
Oak Tree height = 48 feet
Mike's height = Oak Tree Height/8
Mike's height = 48/8
Mike's height = 6 feet
So, Mike is 6 feet tall.

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10 - 17 show work if u can

Answers

10. You are finding 3% of 100, or .03 x 100. The product should be 3.

11. You are finding the whole amount of 3, or 1 x 3. The product should be 3.

12. Again, find 80% of 120, or 0.80 x 120. The product should be 96.

13. This time, because the number is greater than 100%, you would write it as 1.15 x 6. The answer should be 6.90.

14. In this scenario you are going backwards--meaning instead of using multiplication you use division. If 32 is the amount inside of 128, you divide 32 by 128. The quotient should be 0.25, or 25%.

15. Just like #14 (except phrased differently), 3 is inside of 36, so you divide 3 by 36. The quotient should be 0.08333... or about 8%.

16. In this problem you will have to divide again, except (because the decimal is given) you divide the amount left, 23.7, by the decimal/percent, .30. The quotient should be 79.

17.  This problem is also the same as the previous, just phrased differently. 7[tex]\frac{1}{2}[/tex]%, or 7.5% is written as 0.075 in decimal form. Again, divide the amount left, 12, by the decimal/percent, 0.075. The quotient should be 160.


Hope I helped! (Please give Brainliest!)

jonathan's parents told him that for every 5 hours if homework or reading he completes,he would be able to play 3 hours of video games.His friend lucas's parents told their son that he could play 30 minutes for ever hour of homework or reading time he completes. If both boys spend the same amount of time ob homework and reading this week,which boy gets more time playing video games? How do you know?

Answers

Jonathan studies for 5 hours and get to play 3 hrs.

Lucas studies for 1 hour and gets to play for 30 min =0.5 hrs

so if Lucas also studies for 5 hours he gets to play 0.5 * 5 = 2.5 hours which is less than Jonathan.

So Jonathan gets to play more

solve for x
[tex] \frac{x}{a} = \frac{x}{b} [/tex]

Answers

[tex]Domain:\ a\neq0\ \wedge\ b\neq0[/tex]

[tex]\dfrac{x}{a}=\dfrac{x}{b}\qquad|\text{cross multiply}\\\\bx=ax\qquad|\text{subtract ax from both sides}\\\\bx-ax=0\\\\x(b-a)=0\qquad|\text{divide both sides by }\ b-a\neq0\\\\x=0[/tex]

[tex]\dfrac{x}{a}=\dfrac{x}{b}\\\\if\ a\neq b\ then\ x=0\\\\if\ a=b\ then\ x\in\mathbb{R}[/tex]

The highest point in the United States is Mount McKinley in Alaska. Its summit is 20,335 feet above sea level. Badwater, a basin located in Death Valley, is the lowest point in the United States at 282 feet below sea level. How high is the summit of Denali above the Death Valley location? (How far apart are the two distances?) *

Answers

Answer:

20,053

Step-by-step explanation:

20,335 - 282 = 20,053

Answer:

20617 feet is your answer

Step-by-step explanation:

You are subtracting the two numbers. Note however, that 282 feet below the sea level = -282

Subtract.

20335 - (-282) = answer

Note that two negatives = one positive

20335 + 282 = answer

20617 = answer

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~Senpai

Hey! I was wondering if someone could explain to me how solving two-step inequalities works. Thanks!

Answers

Ok, let me break it down for you.
Step 1, 20-6. That is 14. You need to do that because you need it for step 2
Step 2, Since you want to get something less than 20, you need to find out what could get you to 20. So, 14÷-2. The answer is -7. So, anything less than -7 could be the answer.

Answer?
x= anything more than -7. But just for a specific answer, Let's say 0. Because -2×0=0. 0+6=6. 6<20.
Done! :)))

Here is the inequality:

[tex]-2x+6<20[/tex]

You're looking for x. To find it, you have to remove everything on the same side of the variable. The only thing with it is positive 6. To remove it, you have to do the opposite of it, which is -6, which is also the same as subtracting 6. Subtract 6 from both sides:

[tex]-2x+6-6<20-6 \\-2x<14[/tex]

Now you have -2x. When you have a negative variable, the inequality sign changes. Change the sign:

[tex]-2x<14 \rightarrow -2x>14[/tex]

You're looking for x alone. To leave x alone, you have divide both sides by -2 since the variable is -2x. Divide both sides by -2:

[tex]-2x \div -2 > 14 \div -2 \\\\x>-7[/tex]

When dividing a negative number number by a positive or vice versa, the result is ALWAYS negative. That's why in your answer, it's -7.

Your answer is x > -7

GRAPH:


53x4 estimate of product Then record the product

Answers

Estimate of product: ≈200, 50×4

The real product: 53×4=212

The product of 53 and 4, is  212.

The question is asking to estimate the product of 53 and 4, then to record the actual product of these numbers. To estimate, we could round 53 to the nearest ten, which would give us 50, and then multiply by 4:

50 x 4 = 200.

The actual product is calculated by multiplying 53 by 4:

53 x 4 = 212.

So the estimate of the product is 200 and the actual product is 212.

What would my final balance be if I put $425 in the bank for 48 months with an interest rate of 4.75%?
B.)$80.75
C.)$505.75
D.)$344.25

Needed for test corrections by tomorrow. ASAP!

Answers

I see choice (A) is missing, so I am giving you two solutions for you to understand and decide which one applies:

(1) Final balance with compound interest - meaning every year you add the year's interest to the principal and earn interest on the increased amount, etc. This is the actual case in real banks:

principal amount is $425 at (annual) interest rate 4.5%

interest amount for 1 year $19.13

Now, use the formula for compound interest

total balance = principal*(1+interest rate)^year

[tex]\$425\cdot(1.0475)^4= \$511.68[/tex]

So the amount after 4 years with compound interest should be $511.68

(2) the silly way: earn interest of $20.1875 every year and keep it separately (not earning additional interest). That'll make 425+4*20.1875=$505.75 which is answer (C)

so if your (A) matches my solution (1) then go with that. If not, choose (C).



Find the area shaded in yellow.

Answers

Im not sure but the answer might be 52. I just found the area of the whole box, and then found the area of the red box only. I subtracted the area of the red box from the whole box and got 52.

66 square units, because you count the number of yellow squares


Simplify: |4 - 2 • 1| - 17|8 - 13|

Answers

Step 1. Simplify 2 * 1 to 2

|4 - 2|-17|-13|

Step 2. Simplify 4 - 2 to 2

|2|-17|8-13|

Step 3. Simplify 8 - 13 to -5

2 - 17|-5|

Step 4. Simplify |-5| to 5

2 - 17 * 5

Step 5. Simplify 17 * 5 to 85

2 - 85

Step 6. Simplify

-83

Answer:

your answer is -83

Step-by-step explanation:


What is the quotient 1074 divided by 26

Answers

the answer is 44.75 I would explain but ehhhhhhhhhh

Answer: 41.3 OR 41

41.307692

can u plz help me answer this

Answers

2 7/8 is 2.875 in decimal and then compare it to 2.75


2.875 > 2.75

therefore the answer is >(greater than)



answer:  [tex]2\frac{7}{8} < 2.75[/tex]

work: if you turn [tex]2\frac{7}{8}[/tex] into a decimal it would be [tex]2.25[/tex].

[tex]>[/tex] means greater than.

[tex]<[/tex] means less than.

so [tex]2.25[/tex] would be less than [tex]2.75[/tex] or in other words [tex]2\frac{7}{8} < 2.75[/tex] which would be your final answer.

hope this helps! ❤ from peachimin

Write the equation of the line that contains the given point and has the given slope.
a) (2, –2), slope = 1.4
b) (–1, 4), slope = –3
WILL GIVE BRAINLIEST!! 20 PT QUESTION

Answers

Hey there!!

What is slope-intercept form :

... y = mx + b

( a ) Given :

... ( 2 , -2 ) and slope=1.4

... y = mx + b

... -2 = 2×1.4 + b

... -2 = 2.8 + b

... -4.8 = b

The slope-intercept form :

... y = 1.4x - 4.8

( b ) Given :

... ( -1 , 4 ) and slope = -3.

y = mx + b

... 4 = -3×-1 + b

... 4 = 3 + b

... 1 = b

The slope-intercept form :

... y = -3x + 1

Note :

( m = slope and b = y-intercept )

Hope my answer helps!!

Answer:

... y = mx + b ( a ) Given : ... ( 2 , -2 ) and slope=1.4 ... y = mx + b ... -2 = 2×1.4 + b ... -2 = 2.8 + b ... -4.8 = b The slope-intercept form : ... y = 1.4x - 4.8( b ) Given : ... ( -1 , 4 ) and slope = -3. y = mx + b ... 4 = -3×-1 + b ... 4 = 3 + b ... 1 = b The slope-intercept form : ... y = -3x + 1 Note :  ( m = slope and b = y-intercept ) Hope my answer helps more math stuff

Step-by-step explanation:

Consider a function that describes how a particular car’s gas mileage depends on its speed. What would be an appropriate domain for this function?

A 0 to 100 miles per hour
B 0 to 50 miles per gallon
C times from 0 to 10 minutes
D times from –10 to 10 minutes

Answers

Answer:

A) 0 to 100 mph

Step-by-step explanation:

the range would be the mpg, and domain would be speed.

That would be the best presentation.


Explain and demonstrate how to change 4/20 into a percent

Answers

You can start by dividing both top and bottom by four, making it 1/5. From there you can do 1 divided by 5 making it a decimal of 0.2. Afterwards, move the decimal to places to the right and add an extra 0 making the percentage 20%.

4/20 is equivalent to 20%.

What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following fraction -

4/20

We can convert it into percent as -

[x]% = (4/20) x 100

[x]% = 20%

Therefore, 4/20 is equivalent to 20%.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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Jodi walks 35 minutes a day. If she walks for 240 days,how many minutes altogether does Jodi walk?

Answers

Jodi walks 35 minutes a day, for 240 days

Multiply 35 with 240

240 x 35 =  8400

8400 minutes is your answer

hope this helps

Hello AnnaGracePollard, here is the answer to your question:

Here we just need a simple multiplication, like this:

35 minutes * 240 days =  8400 minutes

So the answer is: In 240 days, Jodi walked for 8400 minutes.

Hope this answered your question!

If y varies directly with x and y = 3 when x =12, then what is the value of y when x =40?

A.480

B.160

C.10

D.4

Answers

its c 10 and other fillar so i can answer
The answer is c (10) because the value of y is 10

The maximum safe load of a bridge is 1500kg to the nearest 10kg. An average soldier is 75kg to the nearest kilogram. Work out an estimate for the maximum number of soldiers that can safely cross the bridge at the same time

Answers

i cant answer it without text sorry. i just cant see the question :(

Find two numbers the exact answer is between 6 x 7,381

Answers

I got 37,286 the steps were...

2 4

7,381

× 6

---------

37,286.

Am I suppose to multiply?

Divide 88800 by a 100 explain the shift of the digits and the change in the value of each digit

Answers

it shifts one to the right and you take out a 0

the change in the digits is 10x (10 times) less

Determine the ordered pair that satisfies the equation, 6x - 3y = 5.
a-(9 ,16/3)
b- (6 , -3)
c- (1,−11/3)
d- (-2 ,−17/3)

Answers

Given the equation [tex]6x-3y=5.[/tex]

Check all options:

A. [tex]\left(9,\dfrac{16}{3}\right)[/tex], this means that [tex]x=9, y=\dfrac{16}{3}.[/tex] Substitute these numbers into the left side of the equation equation:

[tex]6\cdot 9-3\cdot \dfrac{16}{3}=54-16=38\neq 5.[/tex]

This option is false.

B.  [tex]\left(6,-3\right)[/tex], this means that [tex]x=6, y=-3.[/tex] Substitute these numbers into the left side of the equation equation:

[tex]6\cdot 6-3\cdot (-3)=36+9=45\neq 5.[/tex]

This option is false.

C.  [tex]\left(1,-\dfrac{11}{3}\right)[/tex], this means that [tex]x=1, y=-\dfrac{11}{3}.[/tex] Substitute these numbers into the left side of the equation equation:

[tex]6\cdot 1-3\cdot \left(-\dfrac{11}{3}\right)=6+11=17\neq 5.[/tex]

This option is false.

D.  [tex]\left(-2,-\dfrac{17}{3}\right)[/tex],  this means that [tex]x=-2, y=-\dfrac{17}{3}.[/tex] Substitute these numbers into the left side of the equation equation:

[tex]6\cdot (-2)-3\cdot \left(-\dfrac{17}{3}\right)=-12+17=5.[/tex]

This option is true.

Answer: correct choice is D.

Answer:

Option d

Step-by-step explanation:

Given is a linear equation in x and y as

[tex]6x-3y =5[/tex]

To check whether a point satisfies the equation, let us substitute and check whether the equation holds good

a) [tex]6(9)-3(16/3) = 38 \neq 5[/tex]

b) [tex]6(6)-3(-3) \neq 5[/tex]

c) [tex]6(1)-3(-11/3) = 17\neq 5[/tex]

d) [tex]6(-2)-3(-17/3) = -12+17 =5[/tex]

Since last point satisfies the equation, option d is the answer.

How do you solve 24 divided by 3/8?

Answers

24/1 divided by 3/8 would be 64. That can be found by finding the reciprocal (inverse) of the second fraction, multiplying the numerators and denominators to get 192/3. Then to simplify, you can divide both numerator and denominator by 3 to get 64/1 or 64. Hope that helps!

The quotient from the given division is 64.

Given that, 24 divided by 3/8.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here, 24 ÷ 3/8

= 24 × 8/3

= 8 × 8

= 64

Therefore, the quotient from the given division is 64.

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How to write 2.6 in word form

Answers

two - point six

is the answer


The answer you are looking for is "Two and six tenths".

The reason this is, is because 2 is left of the decimal, which makes it "two". Since 6 is to right of the decimal, you have to look at how far it is from the decimal. It being directly after the decimal, it is in the tenths place, making it six tenths. Thus meaning the answer is two and six tenths.

I hope this helps!

what is 18÷(-9) equal

Answers

18 divided by (-9) equals -2.


-2 is the answer

So a negative divided by a positive is a negative so do 18/9 =2 and then make it negative


what is the constant of variation k of the line y=kx through (5,8)

Answers

Answer:

k= 8/5

Step-by-step explanation:

here x= 5 and y= 8

we have y=kx

k= y/x

k= 8/5 this is constant of variation

Answer:

[tex]k=\frac{8}{5}[/tex]

Step-by-step explanation:

find the constant of variation k of the line y=kx through (5,8)

Use equation of line [tex]y=kx[/tex]

k is the constant of variation

LEts find out k using the point (5,8)

x=5 and y=8, plug in the values

[tex]8=k(5)[/tex]

To get k alone, divide by 5 on both sides

[tex]k=\frac{8}{5}[/tex]

what is the area of the square

Answers

the area of the square would be 49


49 inches (7 multiplied by 7)

Arrange the steps in order to solve this expression sin (3pi/4) cos (pi/12)

Answers

Final answer:

To solve sin (3\u03c0/4) cos (\u03c0/12), calculate the value of sin (3\u03c0/4), use the half-angle formula to find cos (\u03c0/12), and multiply the results.

Explanation:

To solve the expression sin (3\u03c0/4) cos (\u03c0/12), we need to find the sine and cosine values of the individual angles and then multiply them together. The sine of 3\u03c0/4 is \u221a2/2 and the cosine of \u03c0/12, which is not a standard angle on the unit circle, can be calculated using the half-angle formula since \u03c0/12 is half of \u03c0/6. Therefore, once we have both values, we simply multiply them to get the result of the expression.

the sum of 4 times a larger integer and 9 times a smaller integer is 3. the difference between 8 times the larger and 3 times the smaller is 27. Find the integers

Answers

Let's break down the problem step by step.

The sum of 4 times a larger integer can be summarized as:

4x


9 times a smaller integer can be summarized as:

9y


We know that we're adding the two expressions because the beginning of the problem has sum. We also know the sum is 3.


So, we get:

4x + 9y = 3


Continuing with the problem, we have the difference between 8 times the larger

8x


We also have 3 times the smaller

3y


This part of the problem mentions the difference between these expressions so we subtract and we know the difference is 27.

8x - 3y = 27


Now, we have both equations so we can solve for either x or y.


4x + 9y = 3
8x - 3y = 27

It's easier to multiply the 4x equation by 2 to have both equations resulting in 8x

(4x + 9y = 3) * 2

We get:

8x +18y = 6


So, we now have:

8x + 18y = 6
8x - 3y = 27

We can subtract the x to get y by itself. We get:

21y = -21

Solve for y and we get:

y = -1

Since we know what y is, we can plug that in and solve for x. It doesn't matter which equation you plug y back in. I'm gonna use the second equation.

8x - 3y = 27
8x - 3 (-1) = 27
8x + 3 = 27
8x = 24
x = 3

So, we now know that

y = -1
x = 3

Hope this helped! If you have any questions then please leave a comment!








Round 0.0695712 to 1 significant figure

Answers

It would be 7x10^-2

That number would be rounded to 0.07

Blue Sky International Airport handles passenger to cargo traffic in a ratio of 8 to 5. If 45 cargo planes landed yesterday, how many passenger flights came in?

Answers

Answer:

72 passenger planes

Step-by-step explanation:

ratio passenger to cargo = 8 to 5 = 8/5

Let p = number of passenger planes.

The ratio of passenger to cargo planes that actually landed is p/45.

The ratio in general is 8/5, so 8/5 must equal p/45.

p/45 = 8/5

5p = 45 * 8

p = 9 * 8

p = 72

Answer: I'm guessing 72


Step-by-step explanation:

its says 8 to 5. If you read it correctly you will know that 8 is the number of passengers and 5 is the number of cargo. 45 ÷ 5  = 9 x 8 = 72
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