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

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.                                                                                      

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

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

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

Answers

n= -4

Have an amazing day :3

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

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

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

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

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.

I need help please list all the available factors. PLEASE

Answers

Thing I no this one I just forgot

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:

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

Answers

Answer:

No this is not linear

Step-by-step explanation:

can anybody help me please!!

Answers

Answer:

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

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:

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

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

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

Are -5/10 and -4/8 equivalent

Answers

Yes they are equivalent

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

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?

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'.

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

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!

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!

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

Answers

Answer:

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

Answer: 40x2+21x−49

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

please help me with this

Answers

Answer:

its yes

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

Yes ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

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:

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

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

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