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

Which characteristics best describe an acute isosceles triangle

Answers

Answer:

answer is A i and iv

two sides meet at 90°

two sides are equal in lenght

What is the slope and y-intercept of the line y = 3x - 7?
Group of answer choices

The slope of the line is -7, and the y-intercept is (0, 3).

The slope of the line is 3, and the y-intercept is (0, -7).

Plz help ASAP!!!!
The slope of the line is -3, and the y-intercept is (0, 7).

The slope of the line is 7, and the y-intercept is (0, -3).

Answers

Y = mx + b
m = slope, b = y intercept
Given m = 3, b = -7
The slope is 3
The y intercept is (0,-7)
hello!

[tex]==================================[/tex]

the given equation is written in slope-intercept form, which looks like so:

[tex]\pmb{y=mx+b}[/tex]

where

[tex]\pmb{m}[/tex] is the slope of the line

[tex]\pmb{b}[/tex] is the y-intercept of the line

in order to determine the slope & the y-intercept, just look at the equation:

[tex]\pmb{y=3x-7}[/tex]

slope: [tex]\pmb{3}[/tex]

y-intercept: [tex]\pmb{-7}[/tex] or ( [tex]\pmb{0, -7}[/tex])

[tex]===================================[/tex]

note:-

Hope everything is clear; if you need any more explanation, kindly let me know.

The conference had 45 people and it increased by 40% the second day. How many more people came on that second day?

Answers

Answer:

Number of people in the conference on first day = 45

It increased by 40% the second day.

To find:

The number of people in the conference on second day.

Solution:

The conference had 45 people and it increased by 40% the second day. So,

Number of people in the conference on second day [tex]=45+40\%\ of\ 45[/tex]

                                                                                        [tex]=45+\dfrac{40}{100}\times 45[/tex]

                                                                                        [tex]=45+18[/tex]

                                                                                        [tex]=63[/tex]

Therefore, the number of people in the conference on second day is 63.

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

C. The initial amount of money in the account

Answer:

C

Step-by-step explanation:

250 represent the amount of money that they started off with

1.05 represent how much the money in the account is increasing by

and x represent the amount of months that have passed

A roll of quarters is shaped like a cylinder and contains 40 each quarter has a thickness of 1.75 and a diameter of 24.26 mm What measurement would be the closest to the volume of one roll of quarters in cubic millimeters

A) 5,335mm
B) 6,256mm
C) 129,428mm
D) 32,357mm

Answers

Answer:

D) 32,357mm^3

Step-by-step explanation:

Given

[tex]Quarters = 40[/tex]

[tex]Thickness = 1.75mm[/tex]

[tex]diameter = 24.26mm[/tex]

First, we calculate the volume of 1 roll.

The volume of the cylinder is:

[tex]V = \pi r^2h[/tex]

Where

[tex]r = \frac{1}{2} * diameter[/tex]

[tex]r = \frac{1}{2} * 24.26mm[/tex]

[tex]r = 12.13mm[/tex]

And the thickness represents the height.

So:

The volume is:

[tex]V = 3.142 * 12.13^2 * 1.75[/tex]

[tex]V = 809.03mm^3[/tex]

The volume of the 40 is:

[tex]Roll= 40 * 809.03mm^3[/tex]

[tex]Roll=32361.20mm^3[/tex]

The closest option is (d):

Enter the value for that makes the given equation true.

20−5(6+4)=4−6

Answers

Answer:

hi, there is no variable


The perimeter of a rectangle is 158 cm. If the length is 7 more than 3 times the width:
i)
Write an equation for the length (l) in terms of the width (w).

Use your understanding of simultaneous equations to determine the unknown
dimensions.

Find the area of the rectangle.

Answers

Width of rectangle = x
Length =3x+7
Perimeter of rectangle = 158cm
2(l+w)=158
2(3x+7+x)=158
2(4x+7)=158
8x+14=158
8x=158-14
x=144/8
x=18
Therefore the width of the rectangle is 18cm
Length=3x+18+7
54+7=61cm
Area=lxw
=61x18
=1098^2

Together Mike and Sara ran 42 laps on the
track. Sara ran twice as many laps as
Mike did. Write a system of equations and
solve it to see how many laps they each ran.

Answers

Answer:

i dont know the system of equations since i only calculated it until i got the right answer but sara did 28 laps and mike did 14

Someone help me please ASAP

Answers

Answer:

false, should be left instead

Step-by-step explanation:

negative numbers on the left of zero, positive on the right

Answer:

False

Step-by-step explanation:

Negative numbers are to the left of zero (0) on a number line.

^

|

|     type that in the box below

brainliest please

Can somebody help me?

Answers

Answer:

x = -3

y = 3

Step-by-step explanation:

C = (-3,3)

Hope I helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Find the area of the shaded polygons
PLS HELP ASAP AGAIN!!!

Answers

9514 1404 393

Answer:

  9 square units

Step-by-step explanation:

Pick's theorem is a useful relationship in circumstances like these. It tells you the area is ...

  A = i + b/2 - 1

where i is the number of interior points (8), and b is the number of points on the border (4).

The area of this figure is ...

  A = 8 + 4/2 -1 = 9

The area of the polygon is 9 square units.

_____

You can also get there by realizing the bounding rectangle is 4 units square. From that, corner triangles are cut. CW from upper left, those triangles have (base, height) dimensions of (3, 2), (1, 3), (3, 1), and (1, 2). So, the total of their areas is (1/2)(6 +3 + 3 +2) = 7 square units. The shaded area is then 16-7 = 9 square units, same as above.

Use what you know about the angle sum theorem for triangles and your algebra skills to solve for x and find the measure of all three angles:

Answers

Answer:

2x° = 45°, 3x° = 67.5°

Step-by-step explanation:

Sum of angles in a triangle = 180°

2x+3x+3x=180°

8x=180°

x=22.5°

2x=22.5°x2=45°

3x=22.5°x3=67.5°

Can someone plz help me with this the answer choices are at the bottom plz I beg u

Answers

formula is v=1/3Bh
shape of base is rectangle/parallelogram
solution: 192cm^3
sorry if it’s wrong , been a while since i did it

Answer:

Step-by-step explanation:

For ΔJNM, the following facts are given: KL || MN
KL = 8 ft MN = 10 ft JL = 3.2 ft MK = 1.5 ft
Answer the following:
a) Is ΔJNM ~ ΔJLK? Support your answer with a postulate or theorem. b) Find the length of JN. Show all your work.
c) Find the length of JK. Show all your work.
d) What is the area ratio of ΔJNM to ΔJLK? Show all your work.

Answers

Answer:

I havn't gotten c and d yet, but:

a) They are similar because of the Angle Angle Theorem

b) JN=4ft

The mall is 6 miles west of the highway. The hospital is 12 miles west of the mall. How far, and in what direction, is the hospital from the highway?

Answers

Answer: 18 miles west

Step-by-step explanation:

The mall is west of the highway.

The hospital is then west of the mall.

If the hospital is west of the mall which is already to the west of the highway, the Hospital must be west of the highway as well.

The hospital is 12 miles west of the mall which is then 6 miles west of the highway. As they are both west, it is a continuous distance and we can simply add their distances up and assume the distance is linear.

The distance between the hospital and the highway is therefore:

= 12 + 6

= 18 miles west


[tex] x - 25 = 0[/tex]

Answers

The answer is 25

25-25=0
the answer is x = 25

Which expression is equivalent to 99 + 22? A. 11(9) + 2(1) B. 11(9 + 2) C. 9 + 2(11) D. (8 × 9) + (6 × 7)

Answers

Answer:

B

Step-by-step explanation:

They both equal 121

in the sequence: 67, 55, 46, 34, 25,…, what number should come next?
a) 16
b) 13
c) 15
d) 19

Answers

Answer:

b) 13

Step-by-step explanation:

67 - 55 = 12

55 - 46 = 9

46 - 34 = 12

34 - 25 = 9

25 - x = 12

rearrange that so,

25 - 12 = x

x = 13

Answer:

b) 13

Step-by-step explanation:

67 - 12 = 55

55 - 9 = 46

46 - 12 = 34

34 - 9 = 25

pattern: subtract 12, subtract 9

the pattern tells us to subtract 12, so take take 25 and subtract 12 from it:

25 - 12 = 13

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

i think it is A

. There are 402 students at Brook Park School. About 24% of the students have attended a different school at some time before. About how many students came to Brook Park from another school?

Answers

96.48 so you would most likely round up to 47

Given,

out of 402 students 24%have attended a different school at some time before.

= 402×24

1 100

= 201×24

1 50

= 201×12

1 25

=2412

25

=96.48

Line d has a slope of 3/2. Line e has a slope of -2/3. Are line d and line e parallel or
perpendicular?

Answers

Answer:

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect

The diagram below shows a rectangle inside of a regular hexagon. the apothem of the hexagon is 17.32 units. to the nearest square unit, what is the area of the shaded region?

Answers

Answer:

your answer will be A)719 units²

Step-by-step explanation:

hope it helps ^_^

Plz answer I'll give brainliest

Answers

Answer:

900<x<1100

Step-by-step explanation:

The third side must be greater than the difference of the other two sides

10000- 1000 < 10x

9000< 10x

Divide by 10

9000/10 < x

900 < x

The third side must be smaller than the sum of the other two sides

10000+1000 > 10x

11000>10x

Divide by 10

11000/10>10x/10

1100>x

900<x<1100

A blood sample has 50,000 bacteria present. a drug fights the bacteria such that every hour the number of bacteria remaining, r(n), decreases by half. If r(n) is an exponential function of the number, n, of hours since the drug was taken, find the bacteria present four hours after administering the drug.

Answers

Answer:

3125 bacteria

Step-by-step explanation:

Let r(0) be the initial amount of bacteria. Every hour, r(n) decreases by half. So, after one our new value for r(n) = (1/2)r(0). After two hours, r(n') =  (1/2)r(n) =  (1/2)(1/2)r(0) = (1/2)²r(0).

After n hours, r(n) = (1/2)ⁿr(0)

So when n = 4 hours and r(0) = 50,000, then

r(4) = (1/2)⁴r(0)

r(4) = (1/2)⁴ × 50,000

r(4) = (1/16) × 50,000

r(4) = 3125

So, after 4 hours, we have 3125 bacteria present.

Quadrilateral BCDE is inscribed in circle A. The measure of ⏜ is 73°. The measure of ⏜ is 53° and the measure of ⏜ is 102°.

Determine the measure of ∠ BCD.

Answers

Answer:

Angle BCD = 73 + 53 = 126 degrees

Step-by-step explanation:

SELECT ALL THAT APPLY!!!///// answer ASAP pls

Answers

Answer: Its the first and third one.

Step-by-step explanation: Lol nope

What is 23 fl oz = ______ c

Answers

Answer:

2.875c

Step-by-step explanation:

Max picked out an old Star Wars puzzle to put together. Out of the 250 pieces, he was missing 15.
What percentage of the pieces was he missing?

Answers

Answer:

ummm... like 6% Convert fraction (ratio) 15 / 250 Answer: 6%

Step-by-step explanation: i have brain i use it some times

in the sequence 113, 93, 77, 65, 57,…, what number should come next?
a) 55
b) 54
c) 53
d) 51

Answers

Your answer is:

C)  53

THANK YOU!!

Sidhdi

Help plsss
Calculate the area

Answers

Answer:

140 feet squared

Step-by-step explanation:

Let's do this step by step. First, let's find the area of the rectangle, which is 8 times 10. It equals 80. Next, do the trangle. 6 times 10 is 60. So, 60 plus 80 equals 140.

Answer:

area of rectangle =L*B

8*10=80ft^2

area of triangle=1/2b*h

h is 8 ft

1/2*6*8

3*8

24ft^2

total area is 80+24

104ft^2

nearest tenth = 100 ft^2

Other Questions
Churchill firmly states the policy and his new administration. What other purposes might have been on Churchills mind when he drafted his speech? Use evidence to support your answer SOMEONE ANSWER FASTT!!*create an equation for this situation. Use the equation to solve the problem. (Algebra)Some Girl Guides are raising money for their jamboree. Their goal is to raise $1000, They already have $232 from the bake sales. To raise the remainder, they are planning a walk-a-thon. if each person walking raises $24, how many walkers will the Girl Guides need to reach their goal? Please answer!!! Ill make brainliest I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS Company A Company B Market Value of Equity $400,000 $600,000 Market Value of Debt $100,000 $800,000 Cost of Equity 9% 9% Cost of Debt 3% 4% Tax Rate 35% 35% Based solely on their current weighted average cost of capital, which company should pursue an investment opportunity with an expected return of 6.5% Which of the following is an accurate description of a double helix? Which of the following is the best description of a light-year?A. A light-year tells us how long it would take light to reach us.B. A light-year is a way of measuring time.C. A light-year is a unit of distance.D. A light-year is equal to about 100,000 miles.Answer Is C Underline the correct item. 1. The property is within easy stretch/spread/range reach of the shopping centre. 2. You wash up and I'll clear/clean/empty/tidy away the dishes. 3. Public transport is better in cities than it is in rura areas/places/parts/spots. 4. There is plenty/ample/full/rich room in the drive to park your car. 5. It took me a good/fine/nice/fair hour to find your house. Pl help its for a grade Calculate the first and second order angles for light of wavelength 400. nm and 700. nm of the grating contains 1.00 x 104 lines/cm. If I fluid Ounce isapproximately equal to 29.57milliliters, q fluid ounces isabout how many milliliters?A 266.13 millilitersB 258.27 millilitersC 262.39 millilitersD 256.44 milliliters What would x equal( rounded to the nearest tenth) who was the first pharos in Egypt The amount of light that enters the pupil is controlled by the:retina.lens.inis. should pusillanimous acts be punished ignored or discussed 1 and 2 answer choice help please? Should the dress code for Pizza Hut employees be enforced? ( BIASED OR UNBIASED) The width of a rectangle is represented by 5 - 2y.The length is twice as long as the width What is theperimeter of the rectangle? Select all correct expressionsA45-273 65 - 27C20 -D30 - 12 One interior angle of a triangle is 60. The other angle measures are x and y. Which of the following could be the values ofx and y? Select all that apply. X = 60, y = 60X = 100, y = 20X = 40, y = 80. x=50, y = 90X = 45, y = 45 Describe the benefits of transporting porcelain by land or by sea in ancient China in other words what are the positive outcomes of each method of transportation Dont mind the bottom just read the scenario part