Find the values of​ x, y, and z in the triangle to the right. A triangle has angles labeled as follows: lower left, x degrees; top, y degrees; lower right, z degrees. A ray extends the left side of the triangle and the angles labeled y degrees and (3 x plus 5) degrees form a straight angle. Another ray extends the bottom side of the triangle and the angles labeled z degrees and (3 x minus 5) degrees form a straight angle. X degrees y degrees z degrees left parenthesis 3 x plus 5 right parenthesis degrees left parenthesis 3 x minus 5 right parenthesis degrees

Answers

Answer 1

Given:

Consider the below figure attached with this question.

Angles of a triangle are x, y and z.

To find:

The values of x, y and z.

Solution:

If two angles are linear pair, then their sum is 180 degrees.

[tex]y+(3x+5)=180[/tex]

[tex]y=180-3x-5[/tex]

[tex]y=175-3x[/tex]

Similarly,

[tex]z+(3x-5)=180[/tex]

[tex]z=180-3x+5[/tex]

[tex]z=185-3x[/tex]

According the the angle sum property, the sum of all angles of a triangle is 180 degrees.

[tex]x+y+z=180[/tex]

[tex]x+(175-3x)+(185-3x)=180[/tex]

[tex]-5x+360=180[/tex]

[tex]-5x=180-360[/tex]

[tex]-5x=-180[/tex]

Divide both sides by -5.

[tex]x=36[/tex]

The value of x is 36.

[tex]y=175-3(36)[/tex]

[tex]y=175-(108)[/tex]

[tex]y=67[/tex]

Now,

[tex]z=185-3(36)[/tex]

[tex]z=185-108[/tex]

[tex]z=77[/tex]

Therefore, the values of x, y and z are 36, 67 and 77 respectively.

Find The Values Of X, Y, And Z In The Triangle To The Right. A Triangle Has Angles Labeled As Follows:

Related Questions

is this equation linear or not? y = 2x²​

Answers

Answer:

No this is not linear

Step-by-step explanation:

Josiah cell phone plan allows a number of minutes of air time for $20 a month each minute costs 0.02 $ how many minutes of air time is he allowed?

Answers

Given parameters:

Cost of cell phone plan per minute  = 0.02$/min

Amount in a month  = $20

Unknown:

Number of minutes allowed per month?

Solution:

 The number of minutes = [tex]\frac{amount per month}{rate per call}[/tex]

     Input the parameters and solve;

                                         = [tex]\frac{20}{0.02}[/tex]

                                         = 1000min

The number of minutes allowed per month is 1000min

7.4 x 10^-8 - 6.7 x 10^-9 =

Answers

Answer: 6.73 × 10 -8

Step-by-step explanation:    

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.                                                                                      

Pls help i will mark brainliest if you get it correct♡︎シ

Answers

Answer:

its the first one. hope this helps

Answer: the first one {-3,-1,0,1,5}

Domain is x

Write the equation in slope-intercept form. y - 2 = 6 (x + 1)

Answers

Answer:

Step-by-step explanation:

y-2=6x+6

y=6x+8

If you live for 90 years, but celebrate your birthday every single day for 90 years, how old would you be?

Answers

Answer:

32850

Step-by-step explanation:

Days in a year: 36590 × 365 = 32850

I hope this helps!

Answer:

um if this is a riddle then only 90 years old because that how many actual years you have lived but is this is like more of a math question then you would be 32850 years old because 365 x 90 = 32850

Step-by-step explanation:

Determine the 50th term in the sequence defined by an = -11+ 5(n − 1).

Answers

The 'nth' term is a formula with 'n' in it which enables you to find any term of a sequence without having to go up from one term to the next. 'n' stands for the term number so to find the 50th term we would just substitute 50 in the formula in place of 'n'.

can anybody help me please!!

Answers

Answer:

[tex]the \: equation \: of \: the \: statement \: is : \\ 5 {x}^{2} - 28x = 2500[/tex]

Pls answer
(5x+7) (8x-7) solve for x

Answers

Answer:

where is the =...........

Answer: 40x2+21x−49

Step-by-step explanation:

Subtract 2x from 4x - 3

Answers

Answer:

2x-3

Step-by-step explanation:

If you subtract 2x from 4x-3, you got 2x-3. This must be the answer you're looking for. Hope it helps!

2x -3
4x-2x= 2x
You can’t simplify anymore

i need help again please I need help​

Answers

Answer: Assembly

Step-by-step explanation: I’m just guessing, but I think it’s assembly because, well, there’s a lot of people assembled there

Plz help me fast will give brain list

Answers

17,400 - 3000 = 14,400

Let x be the number of months.

300x = 14,400

Divide by 300.

x = 48

12 months = 1 year

4 years is the answer.

Answer:

4 years

Step-by-step explanation:

Equation: 300x + 3000 = 17400

Subtract 3000 from both sides;

300x = 14400

Divide both sides by 300;

x = 48 months

48 months = 4 years

need help fastttt plssss I give the brainliest answer to who is correct plss

Answers

Answer:

$6.75

Step-by-step explanation:

I took math in high school

Xavier spent $84 on art supplies. The canvas for each of his paintings is an additional $1. He plans to sell his paintings for $8

Answers

Answer:

84 + x*1 = 8x

Step-by-step explanation:

Xavier needs to sell 12 painting to break even.

Riley was scuba diving 12 feet below sea level. She dove 8 feet further down what now what is the expression.

Answers

Answer:

-12+(-8)=-20

-20 is the answer

4х – Зу = 15
x - 2y = 0 solve using substitution please show work

Answers

Answer:

(6,3)

Step-by-step explanation:

I'm going to start with the second one.

x - 2y = 0

   +2y  +2y

x = 0 + 2y   which is the same as (x = 2y)

Now plug that in for the x-value in the other equation.

4(2y) - 3y = 15

8y - 3y = 15

5y = 15

Divide both sides by 5

y = 3

Here is where you are going to plug it back into the first one we did.

x - 2(3) = 0

x - 6 = 0

  +6   +6

x = 6

So the answer is (6,3)

Hope that helps and have a great day!

23% of 75 is what number?

please answer it like the image!

Answers

Answer:

23% of 75 is 17.35 ok i hope it helps

PLS HELP ME!!!! I WILL MARK U!!!!!

MATH!!!!

Answers

Answer:

-38

Step-by-step explanation:

y=2

z=-17

yz-y^2

(2)(-17)-(2)^2

-34-4

-38

Help me pls. Show the working for the following questions in the picture

Answers

1 = 169
2= 144
3= 25
4= 64
5= 100
6=49
7= 9
8=121
9= 36

what is the answer to the question 1/2n+5=3?

Answers

n= -4

Have an amazing day :3

Are -5/10 and -4/8 equivalent

Answers

Yes they are equivalent

the area of a trapezium is given by the formula A=1/2h(a+b), where h is the height and a and b are the measures of the two bases. what is the height of a trapezoid with an area of 24 square inches if the two bases measure 4 inches and 6 inches?

Answers

Answer:

[tex] h = 4.8 \: inches.[/tex]

Step-by-step explanation:

[tex]A= \frac{1}{2} h(a+b) \\ h(a + b) = 2A \\ h = \frac{2A}{(a+b)} = \frac{2 \times24 }{4 + 6} \\ h = \frac{48}{10} \\ h = 4.8 \: inches.[/tex]

Answer:

h=4.8

Given:

area=24 , a=4 , b=6

To find:

height

Step-by-step explanation:

A = [tex]\frac{1}{2}[/tex] × h(a+b)

24 = [tex]\frac{1}{2}[/tex] × h(4+6)

24 × 2 = h(10)

48 = 10h

48/10 = h

h=24/5

h=4.8

therefore, height of the trapezium is 4.8

hope it helps you!

How long is each side of a square with a perimeter of 32.28 centimeters?

Answers

Answer:

8.07 cm

Step-by-step explanation:

since all sides of a square are the same length, you can just do 32.28/4=8.07

can i get brainliest please?

The first integer is

A. 1
B.0
C.-1
D.None of the above

Answers

Answer:

a

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

What is the value of h(−2) when h(x)=3x+1?


Enter your answer in the box.

​h(−2)=​

Answers

Answer:

-5

Step-by-step explanation:

The answer is -5 because we have -2 as x. The function is h(x)=3x+1. 3 times -2=-6. When we add 1 to the result, we have -5 as the answer. Hope it helps!

The value of h(−2) when h(x)=3x+1 is h(-2) = -5

From the question,

The given function is h(x)=3x+1

To determine the value of h(-2), we will put x = -2 and evaluate

From

h(x)=3x+1

h(-2) becomes

h(-2)=3(-2) + 1

h(-2) = (3× -2) + 1

h(-2) = (-6) + 1

h(-2) = -6 + 1

h(-2) = -5

Hence, the value of h(−2) when h(x)=3x+1 is h(-2) = -5

Learn more here: https://brainly.com/question/17762942

A particular toddler has an average nap of 2 and half hours. Nap time can vary by about 15 minutes. Write and solve an absolute value inequality that represents this situation.

Answers

Step-by-step explanation:

Two laboratory technicians are running product quality tests. One technician takes 6 minutes less than the
other. What equation would give the amount of time, t, it would take to run the tests if the technicians work
together to split the work on the different tests?

Answers

Answer:

The time it will take will be ;

t = (2x -6)/(x^2-6x)

Where x is the amount of time

in minutes taken by the technician who is slower

Step-by-step explanation:

We want to write the time it would take to run the tests if the technicians work together.

Let the time taken by the first technician be x minutes

The time that would. taken by the second is 6 minutes less which is (x -6) minutes

So if they work together, how long will it take?

That would be ;

t = 1/x + 1/(x-6)

t = (x + x -6)/(x(x-6))

t = (2x -6)/(x^2 -6x)

The time it will take if they both work together is ;

t = (2x -6)/(x^2-6x)

where x minutes is the amount of time taken by the technician who is slower of the two

please help me with this

Answers

Answer:

its yes

I'm fighting ransome cuz I need at least 20 characters

Yes ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

I need help please list all the available factors. PLEASE

Answers

Thing I no this one I just forgot

what is the answer to 7 – 4 + ( 9/3)2

Answers

Answer:

9.

Step-by-step explanation:

Answer

9

Step-by-step explanation:

first simplify 9/3 to 3 and then go on from there

7-4+3*2

7-4=3

3*2=6

3+6=9

Other Questions
Write a compound inequality that represents the Fahrenheit temperatures between 50 degrees Celsius and 70 degrees Celsius. which of the following is not non constant forceA. gravitational forceB. frictional forceC.magnetic forceD. electrical force What important service did Byzantine writers provide to the rest of the world? What is 0.02 written as a percent? Will give brainiest is fast and correcta. 0.0002%b. 0.02%c. 2%d. 20% When did the Civil war happen First on gets Brainliest select a pair of numbers that have a sum of 9 and a difference of 1 How does Katniss operate within this system where the Gamemakers have so much power over her life? How does this affect her choices? How do you navigate the systems of power and authority in your lives: at home, school, or elsewhere? How do the 13th, 14th, and 15th Amendments to the Constitution represent one of themost lasting and successful legacies of the Reconstruction era? How many atoms are in Al2(SO4)3 Identify the type of sentence. Dante smiled and laughed in class. Is it simple or compound or complex. Read the excerpt from We Shall Not Be Moved. Everywhere in the garment district, by the front gates of little shops and big ones, picketers marched and sang. "O Dubinushka," they sang, and "Tortured and Enslaved," and other Russian folk and revolutionary airs. Icy rains poured down on them, some were in danger of frostbite a winter of record-breaking cold had already begun but there they were and there they stayed. The union men were amazed. "There never was anything like it," one ILGWU official declared. "An equal number of men never would hold together under what these girls are enduring." Find the distance between the two points rounding to the nearest tenth (if necessary).(7,-3) and (1,3) Who were the most powerful group of Native Americans in eastern North America? Choose the best representation 8/11 what is the value of youth participating in volunteering what is the value of 2.5x+17+21x-25=180 The seventh grade choir sold pizzas as a fundraiser. The choir teacher created the graph below for the students According to the U.S. Geological Survey, the Mississippi River is 200 mishorter than the Missouri River. Together, they cover a total of 4880 mi.How long is the Missouri River? * Pass necessary journal entries in the books of Narender for the month of March 2006 Question 5 (4 points)Which of the following economics factors helped cause the decline of the WesternRoman Empire?high food prices, trade deficits, and inflationmultiple currencies, low food prices, and trade barriersexcess farm production and low interest rateslow farm production and an over reliance on foreign trade