what is x and y shown in the photo above?

Answers

Answer 1

Answer:

[tex]\huge\boxed{x = 11,\ y = 3}}[/tex]

Step-by-step explanation:

In order to find the value of x and y in this, we have to note a couple of angle relationships.

We know that angles [tex]13x-19[/tex] and [tex]9x+25[/tex] are the same because they are corresponding angles. This means that when a line intersects two parallel lines, the angles formed are congruent to the second line.

This means both expressions for the line will be equal to each other:

[tex]13x-19 = 9x+25[/tex]

We can now solve for x.

Add 19 to both sides:

[tex]13x = 9x+44[/tex]

Subtract 9x from both sides:

[tex]4x=44[/tex]

Divide both sides by 4:

[tex]x=11[/tex]

Now that we know that x = 11, we can use another angle relationship to find y.

We know that [tex]13x-19[/tex] and [tex]17y+5[/tex] are supplementary angles. This means their angle measurements add up to 180°.

Since we know the value of x, we can find the measure of the angle [tex]13x-19[/tex].

[tex]13(11) -19\\\\143-19\\\\124[/tex]

So the [tex]13x-19[/tex] angle is equal to 124 degrees. Since this and [tex]17y+5[/tex] are supplementary, that means [tex]17y+5[/tex] must be equal to [tex]180-124=56[/tex] degrees.

[tex]17y+5=56[/tex]

Subtract 5 from both sides:

[tex]17y=51[/tex]

Divide both sides by 17:

[tex]y=3[/tex]

So, x = 11 and y = 3.

Hope this helped!

Answer 2

Answer:

Y=3

X=11

Step-by-step explanation:

9x + 25 is = to 13x - 19 so you would do exactly that.

9x + 25 = 13x -19

-9x -9x

25 = 4x -19

+19 +19

44 = 4x

4 4

11 = x

9*11+25= 124

And 124 is not equal to 17y+5 so the equation would be

124 + 17y +5 = 180

124 + 5 = 130

129 + 17y = 180

-129 -129

17y = 51

17 17

Y= 3

Related Questions

If 12 cats can catch 6 rats in 2 hours, how many hours would it take 50 cats to catch 75 rats?

Answers

Answer:

50 cats would take 6 hours to catch 75 rats.

Step-by-step explanation:

After reading the statement we noticed the existence of two relationships:

1) The amount of cats is directly proportional to the quantity of caught rats.

2) The amount of cats is inversely proportional to time taken to catch rats.

That is to say:

[tex]n \propto \frac{x}{y}[/tex]

[tex]n = k\cdot \frac{x}{y}[/tex] (Eq. 1)

Where:

[tex]n[/tex] - Amount of cats, dimensionless.

[tex]x[/tex] - Amount of caught rats, dimensionless.

[tex]y[/tex] - Time, measured in hours.

[tex]k[/tex] - Proportionality ratio, measured in hours.

Then, we obtain the following relationship by eliminating the proportionality ratio in (Eq. 1):

[tex]\frac{n_{1}\cdot y_{1}}{x_{1}} = \frac{n_{2}\cdot y_{2}}{x_{2}}[/tex] (Eq. 2)

Where:

[tex]n_{1}[/tex], [tex]n_{2}[/tex] - Initial and final amounts of cats, dimensionless.

[tex]x_{1}[/tex], [tex]x_{2}[/tex] - Initial and final amounts of caught rats, dimensionless.

[tex]y_{1}[/tex], [tex]y_{2}[/tex] - Initial and final times, measured in hours.

Now we clear final time in (Eq. 2):

[tex]y_{2} = y_{1}\cdot \left(\frac{n_{1}}{n_{2}} \right)\cdot \left(\frac{x_{2}}{x_{1}} \right)[/tex]

By knowing that [tex]y_{1} = 2\,h[/tex], [tex]n_{1} = 12[/tex], [tex]x_{1} = 6[/tex], [tex]n_{2} = 50[/tex], [tex]x_{2} = 75[/tex], then we get that time taken by 50 cats to catch 75 rats is:

[tex]y_{2} = (2\,h)\cdot \left(\frac{12}{50} \right)\cdot \left(\frac{75}{6}\right)[/tex]

[tex]y_{2} = 6\,h[/tex]

50 cats would take 6 hours to catch 75 rats.

100 POINTS!!!!!!!!!!! ( I NEED FAST ANSWERS ) Find the slope of the line that contains the points:(-6, 3) and (-4,5).

Answers

Answer:

slope = -4/5

Step-by-step explanation:

9. PRODUCTION Brown Pencil factory can
produce 150 gross of pencils in a quarter of an
hour. At this rate, how many gross of pencils
can the factory produce in seven and a half
hours?
Please hurry

Answers

Answer:

4500

Step-by-step explanation:

Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool. What is the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool?

Answers

Answer:12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Select the prime factors of 204.
A. 2 x 17
B. 6 x 17
C. 2 x 3 x 17
D. 2 x 2 x 3 x 17

Answers

Step-by-step explanation:

Sum = n/2 x (a + Tn)

= 21/2 x (2 + 42)

Reorder the terms:

-5 + 4x = 20x

Solving

-5 + 4x = 20x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-20x' to each side of the equation.

-5 + 4x + -20x = 20x + -20x

Combine like terms: 4x + -20x = -16x

-5 + -16x = 20x + -20x

Combine like terms: 20x + -20x = 0

-5 + -16x = 0

Add '5' to each side of the equation.

-5 + 5 + -16x = 0 + 5

Combine like terms: -5 + 5 = 0

0 + -16x = 0 + 5

-16x = 0 + 5

Combine like terms: 0 + 5 = 5

-16x = 5

Divide each side by '-16'.

x = -0.3125

Simplifying

x = -0.3125

Cleo and jandi are having a Halloween party. They have 3 1/2 pounds of candy to divide into 14 goodie bags. How much candy will be in each bag?

Answers

Answer:

1/4 pound(s) of candy in each bag

Step-by-step explanation:

3 1/2 (pounds of candy) ÷ 14 (goodie bags) = ?

To make this easier let's turn 3 1/2 into a improper fraction and flip 14/1 (14/1 to 1/14):

3 1/2 = 7/2 14/1 = 1/14

Now we multiply:

7/2 x 1/14 = 7/28 = 1/4

(When you divide fractions, you can flip the second fraction and multiply and get your answer. Remember to simplify once you get your answer!)

Hope I helped! Sorry if wrong!

Answer:

1/4 pounds

Step-by-step explanation:

there are no 43 people in the cafeteria what is the inequality

Answers

Answer:

Step-by-step explanation:

if you have the option, you can say

# of people ≠ 43

3.The snow starts at a depth of 10 inches and melts to 2 inches over the span of 4 hours. Determine the rate of change over the interval 0≤x≤4A.4 inches per hour

B.2 inches per hour

C.8 inches per hour

D.12 inch per hour

4.The population in a neighborhood increased from 120 to 156 people from 1990 to 1994. Find the rate of change over the interval 1990≤x≤1994.

A.1/9 of a person per year

B.9 people per year

C.36 people per year

D.4 people per year

5.The temperature increases from 60 degrees Fahrenheit to 84 degrees Fahrenheit from 8 in the morning to 12 in the afternoon. Find the rate of change over the interval 8≤x≤12

A.16 of a degree Fahrenheit per hour

B.4 degrees Fahrenheit per hour

C.6 degrees Fahrenheit per hour

D.24 degrees Fahrenheit per hour

If you answer, answer with all of the questions listed thank you.

Answers

3. B: 2 inches

4. C: 9 people

5. B: 6 degrees

HURRY!! THIS ASSIGNMENT IS DUE IN 5MIN!!! THANK YOU!!!!!!

Find the discounted price.
flashlight: $18.00 discount: 25%

Answers

Answer:

You can also calculate how much you save by simply moving the period in 25.00 percent two spaces to the left, and then multiply the result by $18 as follows: $18 x . 25 = $4.50 savings.

Which property does this show? 4(3 - x) = 12 - 4x

Answers

Answer:

Distributive property

Step-by-step explanation:

when you distribute the left sid dit equals the right

can ya smart people solove ths

Answers

it would equal 1. you need to do pemdas. so first thing add 1+2= 3. next multiply 3 times 2. Lastly divide 6 by 6 which equals 1

Answer:

[See Below]

Step-by-step explanation:

____________________

✦ Solve:

Divide: [tex]6[/tex] ÷ [tex]2=3[/tex]Add: [tex]1+2=3[/tex]Multiply: [tex]3*3=9[/tex]

____________________

So your answer would be:

[tex]\bold9[/tex]

____________________

~Hope this helps Mate. If you need anything feel free to message me.

[tex]-Your~ Friendly~ Answerer,~Shane[/tex] ☺

rewrite the expression from part B using the additive inverse that you identified in part C.

Answers

Answer:

12.3 – (-9.6) = 12.3 + 9.6

Step-by-step explanation:

-16 - (-t) = -45 how do you solve this please help

Answers

Answer:

- 29

Step-by-step explanation:

Step 1:

- 16 - ( - t ) = - 45 Equation

Step 2:

- 16 + t = - 45 Open Parenthises

Step 3:

t = - 45 + 16 Add 16 on both siddes

Answer:

t = - 29

Hope This Helps :)

Answer:

t = -29

Step-by-step explanation:

Step 1: Write equation

-16 - (-t) = -45

Step 2: Solve for t

Simplify: -16 + t = -45Add 16 to both sides: t = -29

Step 3: Check

Plug in t to verify it's a solution.

-16 - (-(-29)) = -45

-16 - 29 = -45

-45 = -45

Write 5.77 x 10 in standard form.
5.77 x 10–2

Answers

Answer:

The answer is 57.7 x.

Step-by-step explanation:

plllsssssssssss I needddd ansswwerss

Answers

Answer:

9/4 or 2¼

Step-by-step explanation:

have the number be represented by x2/3s OF x (of means to mulitply); 3 INCREASED BY (increased by means to add); 1/2 OF x (again, of means to multiply)so we can write the equation like this:2/3x=3+1/2xnow we need to get x by itselfmultiply both sides of the equation by 2/1 (the reciprocal of 1/22/3(2/1)=4/3 ; 1/2(2/1)=1now our equation look like 4/3x=3multiply both sides of the equation by 3/4 (the reciprocal of 4/3)4/3(3/4)=1 ; 3(3/4)=9/4x = 9/4 or 2¼

A test tube is cylindrical in shape with a length of 152 mm and a radius of 6.5 mm. What is the volume of the test tube? Report your answer in mm3 but do not include the unit mm3 in your answer box. Round your answer to the nearest whole number and do not include commas in your answer. The formula for volume of a cylinder is V=πr2h.

Answers

Answer:

20165

Step-by-step explanation:

Given:

Length/height (h) of cylindrical test tube = 152 mm

Radius of cylindrical test tube = 6.5 mm

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

Required:

Volume of cylinder to nearest whole number

Solution:

The volume is given as [tex] V = \pi r^2h [/tex]

Take π as 3.14 and plug the values of r and h into the volume formula.

[tex] V = 3.14*6.5^2*152 [/tex]

[tex] V = 3.14*6.5*152 = 20165.08 [/tex]

Volume of the test tube = 20165 mm³ (nearest whole number)

Solve each quadratic equation by completing the square.
6x2 – 28x = - 16

Answers

Answer:

There is no real solution

Step-by-step explanation:

[tex]6x^2-28x = - 16\\\\6x^2-28x + 16=0\\\\3x^2-7x+8=0\\\\9x^2-21x+24=0\\\\(3x)^2-2\cdot3x\cdot\frac72+(\frac72)^2-(\frac72)^2+24=0\\\\(3x-\frac72)^2-\frac{49}4+24=0\\\\(3x-\frac72)^2-12\frac{1}4+24=0\\\\(3x-\frac72)^2+12\frac{3}4=0\\\\(3x-\frac72)^2=-12\frac{3}4[/tex]

Other Questions

Which of the following is true of mental health disorders?o They are conditions which help promote good mental healtho They can be self-diagnosedo They do not include eating disorderso They are characterized by long-term symptoms Scientists are learning a great deal about the aging process. This knowledge will allow doctors to help their patients live longer and better lives. They will be able to defeat diseases associated with aging and perhaps even delay the onset of old age. Many doctors would agree that some medicines are much too expensive. main idea explain What event CAUSES the main conflicts that Lauren experiences? 9-2x=35Help Me please An observer is standing next to the tracks, watching a train approach. The train travels at 30 m/s and blows its whistle at 8,000 Hz as it approaches and then passes by the observer without slowing down. Assuming the speed of sound is 340 m/s, how much of a frequency change did the observer hear? what is magnetism? please answer Why is a U.S. savings bond considered a safe form of saving? What does Freak begin to teach Max that even his tutor couldnt do? Whats the difference between reading and writing, according to Freak? What is Max poorest at doing between the two?WILL GIVE BRAINLIEST! FREAK THE MIGHTY! Estandieu's cell phone plan includes 4 GB of data. On the 2nd day of his 31 day billingcycle he received a text message from his service provider that he has already used16% of his data. At this rate, will he use more than 4 GB this month? explain how the origin of a muscle and the insertion point of a muscle allow muscles to work as an agnostic pair when moving a bone. PLEASE KEEP IT SHORT!! Atenismis monotheisticis the worship of the Moon godis the practice of many godsis a branch of Egyptian theology helppppp what do you mean by human rights Underline the noun clause in each sentence. Then circle the initials in parentheses that identify how the noun clause is used: S for subject, DO for direct object, 10 forindirect object, PN for predicate nominative, OP for object of a preposition, DOV for direct object of a verbal, or APP for an appositive.1. That a secretive lynx lives in this area has long been suspected. (S, PN, APP)2. The counselors offered whoever-saw a mountain lion a ride home. (S, DO, 10)3. The researchers knew that emperor penguins were seldom seen in their naturalhabitat. (DO, PN, OP)4. Whoever sees a dead leaf mantis must have a good eye for camouflage.(APP, DOV, S)5. You would be surprised by how many one-celled animals you can see in a dropof pond water under a microscope. (OP, DO, PN)6. Finding where musk ox graze means a trip to the remote tundra. (OR PN, DOV)7. Risa showed whoever was interested her slides of the slow loris. (10, DO, APP)8. Amoebas and paramecia were what confused the student. (PN, DO, 10)9. He heard that the solitary loon lived on this remote lake. (S, PN, DO)10. The spelunkers were shocked at how many bats hung hidden deep in the cave.(PN, DO, OP)11. To see how the African lung fish builds its mud cocoon was fascinating.(OP, DOV, S)12. Small many-celled animals, whatever you call them, are among nature'sstrangest creatures. (S, APP, 10) 10 poiAccording to the Northwest Ordinance, which condition did a U.S.territory have to meet in order to apply for statehood?Have a population of sixty thousand free settlersHold a vote on whether to become a free or slave stateEstablish one public school per districtHave a territorial governor appointed by the president Question 7-9. If you dont know 7 or 8 could you please just answer 9. Which choice shows the correct format for the second parenthetical citation of the Jeffrey T. Swan, Dennard Q. Rail, Mary N. Bushcombe (1995) source in a later paragraph in paper, using the following sentence: . In addition, the authors suggested that admissions officers should have frank discussions with applicants that clearly outline what the graduate program demands, expects, and requires of students.a) demands, expects, and requires of students (Swan, Rail, & Bushcombe, 1995).b) demands, expects, and requires of students [Swan, Rail, and Buschcombe, 1995].c) demands, expects, and requires of students (Swan, Rail & Bushcombe).d) demands, expects, and requires of students (Swan et al., 1995). how are ocean trenchers formed?A. when oceanic plate cooled and moves to the surface of the ocean B. when the denser plate sinks C. when molten rock cools and solidifiesD.when magma accumulates on the ocean floor which one is correct When should you use the median and interquartile range as your measure of center and measure of variability to compare populations shown on a box plot? Check all that apply.when there are outliers in the data setswhen there are no big gaps in the middle of the data setswhen the plots representing the data are symmetricalwhen the plots representing the data are nonsymmetricalwhen there are no outliers in the data set(yes it IS multiple choice) How is a humanequatorial dimate different from a humidtemperate climate?