Find x and y with ray theorem

Find X And Y With Ray Theorem

Answers

Answer 1

Answer:

x = 2

y = 5

Step-by-step explanation:

We can say:

7 corresponds to y

(3 + 7.5) corresponds to 7.5

Plus, we can write a ratio

[tex] \frac{7}{y} = \frac{3 + 7.5}{7.5} [/tex]

[tex] \frac{7}{y} = \frac{10.5}{7.5} [/tex]

Cross multiplying, we can solve for "y",

[tex] \frac{7}{y} = \frac{10.5}{7.5} [/tex]

[tex] \frac{7}{y} = 7 \times 7.5[/tex]

y = 5

Again, using similarly, we can say:

(x + 5) corresponds to 5

(3 + 7.5 = 10.5) corresponds to 7.5

We can write a ratio:

[tex] \frac{x + 5}{5} = \frac{10.5}{7.5} [/tex]

Cross multiplying and with the help of a but algebra, we can solve for "x", shown below:

7.5( x + 5) = 5 x 10.5

7.5x + 37.5 = 52.5

7.5x = 15

x = 2


Related Questions

m<3+m<5=180 true or false

Answers

Answer:

False.

Step-by-step explanation:

Write a unit rate for the situation. Situation: 150 students in 6 classrooms Unit rate: __ students per classroom

Answers

150/6 = 25
24 students per classroom

If these four countries trade only with each other, what is the difference between the highest balance of trade and the lowest

balance of trade within this group?

a €4,378,000,000

€2,797,000,000

€1,928,000,000

d €738,000,000

Answers

Answer:

€4,378,000,000

Step-by-step explanation: just took the test :)

Answer:

A

Step-by-step explanation:

Took the test

4w2 + 3W

- 1

5w - 2

Which expression represents the area in square feet that the homeowner will cover with fertilizer?

Answers

Question:

A homeowner is building a flower bed in the backyard. He plans to put a layer of fertilizer over the entire flower bed.

[tex]Length = 4w^2 + 3w - 1[/tex]

[tex]Width = 5w - 2.[/tex]

Which expression represents the area in square feet that the homeowner will cover with fertilizer?

Answer:

[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]

Step-by-step explanation:

Given

[tex]Length = 4w^2 + 3w - 1[/tex]

[tex]Width = 5w - 2.[/tex]

Required

Determine an expression for the area

Area is calculated as:

[tex]Area = Length *Width[/tex]

[tex]Area = (4w^2 + 3w - 1) * (5w - 2)[/tex]

Expand

[tex]Area = 20w^3 + 15w^2- 5w - 8w^2 - 6w + 2[/tex]

Collect like terms

[tex]Area = 20w^3 + 15w^2- 8w^2 - 5w - 6w + 2[/tex]

[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]

Jenny's great-grandmother is 86 years old. Jenny is 11 years old. What percent of Jenny's great-grandmother's age is Jenny's age

Answers

Answer:

12.79%

Step-by-step explanation:

Let :

Great grand mother = 86 years

Jenny = 11 years

Let the percentage = x

x % of great grandmother's age = Jenny's age

x% * 86 = 11

x/ 100 * 86 = 11

86x / 100 = 11

86x = 100 * 11

86x = 1100

x = 1100/86

x = 12.79

x = 12.79%

how do you find the range of 0.3 0.9 0.2 0 0.7 0.9 0.4

Answers

You subtract the biggest number from the smallest number. So it would be 0-0.9=0.9

the system of equations y=-3x+2 and y=2x-6 is shown on the graph below.

Answers

Answer:C

Step-by-step explanation:

A right prism with rhombus bases is shown. The side length of each rhombus is 5 units. The height of the prism is 16 units. The diagonals of each rhombus measure 6 and 8 units. A right prism with a rhobux base is shown. Each side of the rhombus measures 5 units. Diagonals with lengths of 6 and 8 units are drawn within the rhombus. The height of the prism is 16 units. What is the volume of the prism? 192 cubic units 200 cubic units 384 cubic units 400 cubic units

Answers

Answer:

384 cubic units

Step-by-step explanation:

The computation of the volume of the prism is shown below:

As we know that

The volume of the rhombus is

V = Base × height

where,  

B = D₁D₂ ÷ 2

= (6)(8) ÷ 2

= 24 units squared

Now the volume of the prism is  

V = (24)(16)

= 384 cubic units

Answer:

384 cubic units

Step-by-step explanation:

A wheel is made of a circular rim and 8 spokes as shown.

The length of each spoke is 37cm

WORK OUT THE TOTAL LENGTH OF THE RIM AND SPOKES.

Answers

Answer:

528.6

Step-by-step explanation:

find the circumference of the circle using:

πd: 22/7*74

add the length of the 4 strokes: 37*8

add the two:

Answer:

528.48cm

Step-by-step explanation:

Total length of all the spokes

37cm*8 = 296cm

Length of the circular rim

2πr = Circumference

2(37)π = 74π

74π = 232.48cm

Overall Length

232.48cm + 296cm = 528.48cm

If one figure is translated, rotated and dilated to create its image, the two figures will be __________ .
Group of answer choices

translation

congruent

similar

opposite
PLEASE ANSWER ASAP

Answers

Similar is the answer because no matter the transformation done to the figure it’s always going to be similar to the image(after transformation figure) not necessarily congruent but similar

What is the image of the point (-7,-8)(−7,−8) after a rotation of 270^{\circ}270 ∘ counterclockwise about the origin?

Answers

The image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).

What is counterclockwise ?

Counterclockwise is a direction of rotation that is opposite to the direction of the hands on a clock. It is also known as anticlockwise in some parts of the world. When viewed from above, counterclockwise rotation goes in the direction of a left-handed spiral, while clockwise rotation goes in the direction of a right-handed spiral. In mathematics, physics, and other fields, counterclockwise is often used as a standard convention for the positive direction or orientation of angles, planes, and other geometric objects. In graphical user interfaces, counterclockwise rotation is often used to indicate an undo or reverse action, while clockwise rotation is used to indicate a redo or repeat action.

According to the question:
When a point is rotated by 270 degrees counterclockwise about the origin, the new point is found by switching the x and y-coordinates of the original point, and negating the new x-coordinate. So, to find the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin, we can use the following formula:

(x', y') = (-y, x)

where (x, y) is the original point and (x', y') is the new point after the rotation

Plugging in the values from the given point, we get:

(x', y') = (-(-8), -7)

Simplifying this expression, we get:

(x', y') = (8, -7)

Therefore, the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).

To know more about counterclockwise visit:
https://brainly.com/question/25194571
#SPJ1

Please help me!!!! I will give brainliest!

Answers

36=90/100 x a; 36=9/10 x a; a= 36/(9/10); a=360/9; a= 40

The Ice Cream shop served 40 customers.

Hey there!

The correct answer is 40 customers.

To solve this we can set up the following equation:

36 = .9x

(How I like to remember this is "36 = 90% of what")

Now, we solve. Divide both sides by .9:

40 = x

Have a terrificly amazing day! :D

Add or Subtract to simplify

Answers

Answer:

3. - 8n² -8n + 3

Step-by-step explanation:

(4n^4 - 8n +4) - (8n² + 4n^4 +1)

Firstly, open the brackets.

= 4n^4 - 8n +4 - 8n² -  4n^4 - 1

Now, group like terms.

= 4n^4 - 4n^4 - 8n² -8n - 1 + 4

4n^4 - 4n^4 cancel out with each other since one is negative and the other is positive. So we're left with - 8n² -8n - 1 + 4

= - 8n² -8n - 1 + 4

= - 8n² -8n + 3

A used book store is selling 3 records and 5 CDs for $60. You can also buy 6 records and 4 CDs for $80. Find the cost of one CD. Write the linear system that describes this situation.​

Answers

9514 1404 393

Answer:

  3r +5c = 60

  6r +4c = 80

Step-by-step explanation:

There are many aspects of "this situation" that could be described by equations. We are guessing that you want equations that will help you determine the costs of a record and a CD, assuming the costs are the same for each instance of the media.

Let r and c represent the costs of a record and a CD, respectively.

  3r +5c = 60 . . . . . . . the value of the first purchase

  6r +4c = 80 . . . . . . . the value of the second purchase

These equations comprise a linear system describing an aspect of the situation.

_____

Comment on the question

The numbers make no sense, as the cost of a CD is $(6 2/3), the cost of a record is $(8 8/9).

What expression could be used to evaluate 9/10-1/6

Answers

#########################

Write an inequality for the statement the temperature is greater than 100°F

Answers

Tenperature greater than 100 oF
T > 100 oF

Pls help im already failing and i really dont understand this

Answers

Answer:

B. 9.99 + 1.29n [tex]\leq[/tex] 50

Step-by-step explanation:

The inequality of [tex]\leq[/tex] means less than or equal to. Her limit is $50. She has already spent $9.99. Therefore if $1.29 is the cost each song, then n is the number of songs she can afford below the cost of $50.

I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

-6

Step-by-step explanation:

Select all the expressions that are equal to 1/2. ( --- is a minus sign just so you know)
O 18/20 --- 4/10
O 1/8 + 2/3
O 4/12 + 1/6
O 7/8 ---1/4
O 12/15 ---3/5

Answers

Answer:

first one, and third one

Find the area of the triangle 4ft 1ft 8ft please answer need help ASAP thank you ☺️

Answers

Answer:

16

Step-by-step explanation:

Answer: 16 ft

Step-by-step explanation:

1/2 = divided by 2)

sameyalingareddy avatar

Area of A Triangle formula: b*h*1/2

4/2=2. 2*8=16

GEOMETRY HELP WILL MARK BRAINLIEST!!!!

Answers

180 - 160 = 20
The answer is 20

Answer:

x = 20°

Step-by-step explanation:

Consecutive angles of a parallelogram are supplementary.

x + 160 = 180

x = 20°


4.62 +3-3.6z =
Answer plssss

Answers

Answer:

z = 2.12

Step-by-step explanation:

4.62 +3 - 3.6z = 0

7.62 - 3.6z = 0

-3.6z = -7.62

z = 2.12

find the greatest Common factor Of the Monomials 14p^2, 21pq and 35q2 is?
Please Help :(​

Answers

Answer: the greatest common factor is 7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

5 1 point > 키 Angles x and y are complementary in the diagram shown. 1 2 Z X 3 35° у 4 What is the measure, in degrees, of angle z? 5 Type your answer... 5​

Answers

Answer:

∠z = 55°

Step-by-step explanation:

90° - 35° = 55°

what is the solution to the system of equations x-y=5 and 3x+7y=-5​

Answers

Answer:

Step-by-step explanation:

3(x-y)-3x-7y=3(5)-(-5)

3x-3y-3x-7y=15+5

-10y=20

y=-2, since x-y=5

x-(-2)=5

x+2=5

x=3

So the solution is the point (3,-2)

A helicopter flew north 325 meters and then flew east 500 meters. How far is the helicopter from its starting point?

Answers

Answer:

596.34m approx

Step-by-step explanation:

Given data

Let the Starting point be x

A helicopter flew north 325 meters from x

Then flew east 500 meters

Let us apply the Pythagoras theorem to solve for the resultant which is the distance from the starting position

x^2= 325^2+500^2

x^2=105625+250000

x^2= 355625

x= √355625

x=596.34m

Hence the distance from the starting point is 596.34m approx

Above are Joe’s bank account records. What is Joe’s ending balance? Please help

Answers

Answer:

$425

Step-by-step explanation:

475 - 50 = 425

help! parallel, perpendicular, or neither?

Answers

Answer:

parallel

Step-by-step explanation:

Because a is pependicular to k

Parallel.

Hope that’s helpful :)

help please !!!! (will give brainliest)

Answers

The answer is 18.8

Montana has a temperature of -0.7 so to get to 0 degrees you need to add 0.7. Once you get to zero you need to add 18.1 (Florida’s temperature) and then add 18.1 + 0.7 to get 18.8

SIMPLE 7TH GRADE MATH PROBLEM?!?!

Answers

Answer:

I'm sure it is 25 hope this helps!!!

Answer:

Should be 25

Step-by-step explanation:

Lol is that pearson realize? i hate that buddy good luck

Other Questions
I am made up of nucleotides. Am I DNA RNA or both? A hot iron ball of mass 200 g is cooled to a temperature of 22C from 100C. How much heat waslost in the process?(Ciron = 0.444 J/gC)Q =mcAT I WILL GIVE BRAINLIEST 100 pointsAfter replication occurs, what form is DNA in? (it contains the original and a copy of the DNA in the form of an X)A single chromosomesB chromatinC double chromosomes What is the total surface area?? 30200y - 200+ 0.50xy = 50 + 0.30xConsider the data shown on the graph. The y-intercept represents the base price of $ drag and drop answer here for airfare from NYC The slope represent a cost of drag and drop answer here cents per mile traveled. If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be drag and drop answer here If the cost per mile changed to 50 cents, the new equation would be drag and drop answer here If the irs calls you and wants to exam your tax return this is called audit? True or false ? Which function below has a Domain of all Real Numbers (i.e. (-,))A. LinearB. ExponentialC. QuadraticD. All of these functions have a domain of all real numbers (-,) What was the main purpose of the G.I. Bill passed by Congress shortly before the end of World War II GIVING BRAINLIEST TO WHOEVER GETS THIS CORRECT! :'DAlexander the Great spread Greek culture through Persia, Greece, Egypt, and the Indus Valley more than 2,000 years ago. Greek ideas combined with elements from the conquered territories to form the Hellenistic culture. Consider everything that youve written in the previous parts of the activity. Write one paragraph (100125 words) stating what you believe to be the most important contribution of the Hellenistic era and why.Only one paragraph please! HELP PLEASE HURRY!!! NO SPAM!!!! Identify the area of the figure help me please this will help my grade ! Which statement is true?Normal cells spend most of their time ininterphase (growing, performing cellfunctions,replicating DNA), not dividing.Normal cells are dividing non-stop.Normal cells spend most of their time inmitosis What does the abbreviation SAR stand for? Function Notation f(-4)=___ Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality represents the amount she can still spend this month and remain within her budget?x greater-than 272x less-than-or-equal-to 272x less-than 272x greater-than-or-equal-to 272 2.5pocket money in the ratio 6:5. Calculate Jannie's adjusted monthly pocket money.Khaya is delivering groceries to his mother who stays 8km from the shop. How long will it take himto cover this distance if he drives at an average speed of R65km/h? Give your answer rounded to thenearest minute. Which phrase describes the algebraic expression 7/8y-3 Paleoclimatic analysis has generated a claim that there is a possible correlation between an extinction event around 29 million years ago that allowed grasslands to become abundant and the adaptive radiation of several groups of butterflies.Which of the following proposes the best alternative hypothesis for the claim?A- Climate analysis conducted by sampling pollen preserved in amber shows an increase in grass pollen 29 million years ago, but there is no significant difference between speciation rate, as well as species richness with regard to butterflies, before and after 29 million years ago.B- Climate analysis conducted by sampling pollen preserved in amber shows an increase in grass pollen 29 million years ago, which indicates there was an increase in grasslands that correlates to an increase in butterfly speciation during the same time period.C- There is a correlation between the rapid and wide-ranging decrease in species richness of insects in general 29 million years ago and the increase in species richness and diversity among the butterfly population during the same time period.D- Evidence of rapid speciation among butterfly species 29 million years ago is evenly distributed among all environments of that period. Juan saved $1,000 from his summer job cleaning pools. Which of these savings vehicles would work best for him if he doesn't need access to the money for a number of years AND wanted to earn the highest interest rate? DUE TODAY PLEASE HELP T^TWhen completing a self-assessment, you should think about the cultural environment in which you want to live.FalseTrue