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


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

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

Answers

Answer:

False.

Step-by-step explanation:

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)

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
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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

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

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

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

help! parallel, perpendicular, or neither?

Answers

Answer:

parallel

Step-by-step explanation:

Because a is pependicular to k

Parallel.

Hope that’s helpful :)

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

Answers

Answer:

-6

Step-by-step explanation:

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:

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

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

Answers

Answer:C

Step-by-step explanation:

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]

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

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%

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).

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°

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

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.

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°

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

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

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 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:

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

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

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

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

Answers

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