Mathematics High School

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

Identify the segment bisector of AB. Then find AB.
c
4 5/6
D
A
B
Segment bisector=

AB =

Answers

angles, bisectors, angle relationships, and how to classify polygons. 1.1 Points, Lines AB or any combination of two of the letters A,C or B in any order. c) Yes, they lie on. If the two endpoints are (-5, 6) and (3, 4), then the midpoint is (-1, 4). -1 is halfway 108◦. = 72. ◦. Example 6: Are ∠CDA and ∠DAB a linear pair?

Figure A is a scale image of Figure B.
2
Figure A
18
Figure B
27
45
What is the value of 2?

Answers

9514 1404 393

Answer:

Step-by-step explanation:

The ratios of corresponding sides in similar figures are proportional.

x/18 = 45/27

x = 18(45/27)

x = 30

I know i already asked this but i need the answer!!!!
Which expression shows the sum 9 + 21 rewritten as a product of the GCF and a sum?

O 9(1 + 21)
O 3(3 + 7)
O 3(3 + 21)
O 9(1 + 3)

Answers

Answer:

3(3+7)

Step-by-step explanation: you factor out the greatest common multiple. 3 times 3 is 9 and 3 times 7 is 21

h(x) = 4x +3. What is
the coordinate pair for h (1)?

Answers

9514 1404 393

Answer:

(1, 7)

Step-by-step explanation:

Fill in x=1 and do the arithmetic.

h(1) = 4(1) +3 = 7

The coordinate pair is ...

(x, h(x)) = (1, h(1)) = (1, 7)

how do i solve for the x?

Answers

Answer:

sikeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

What is an equation of the line that passes through the point (5, 1) and is parallel to
the line x + y = 9?

Answers

Answer:

Step-by-step explanation:

y = -x + 9

y - 1 = -(x - 5)

y - 1 = -x + 5

y = -x + 6

The equation of the line that passes through the point ( 5, 1 ) and parallel to the line x + y = 9 is x + y = 6.

Here,

The point is given as ( 5, 1 ).

The equation of line is parallel to the line x + y = 9.

What is Equation of line?

The general equation of straight line is given as, [tex]y - y_{1} = m ( x-x_{1} )[/tex]

where, m is slope of line and ( x₁ , y₁) is point.

Now,

The equation of line is parallel to the line x + y = 9.

Hence, both line have same slope.

The slope of line x + y = 9 is given as,

⇒ y = -x + 9

compare with equation of line y = mx + c , we have;

Slope = -1

The equation of the line passes through the point ( 5, 1 ) and slope -1 is;

y - 1 = -1 ( x - 5)

y - 1 = -x + 5

y = -x + 6

Hence, The equation of the line that passes through the point ( 5, 1 ) and parallel to the line x + y = 9 is x + y = 6.

Learn more about the Equation of line visit:

https://brainly.in/question/17740820

#SPJ2

Which of the following is an example of a rational number that is not an integer?

Answers

Uh what is the followijg LOL LEL

Can anyone please help me with number 2 ❤️

Answers

Answer:

[tex]A = 101.5825591635[/tex]°

Step-by-step explanation:

We can use the law of cosines. We have a triangle with side lengths as attached. (See image.)

So we want to solve for angle A.

We do this by using:

[tex]cos(A)=(b^2 + c^2 - a^2) / (2bc)[/tex]

Here we have:

a = 36

b = 27

c = 19

So we plug in to get:

[tex]cos(A)=(27^2 +19^2-36^2)/(2*27*19)[/tex]

[tex]cos(A)=-0.20077972709[/tex]

[tex]A = 101.5825591635[/tex]°

if |a+3|=4 which describes all possible values of a)

Answers

Answer:

1 and -1

Step-by-step explanation:

The absolute value means that the answer will always come out as positive, meaning that both 1 and -1 fit in this equation.

Answer:

-7 and 1.

Step-by-step explanation:

either a + 3 = 4 or a + 3 = -4

So a = 1 and a = -7.

Solve for x: 3x + 2 = 11

Answers

Answer:

x = 3

Step-by-step explanation:

3 x 3 + 2 = 11 Because 3x3 = 9 and 9 + 2 = 11

I hope this helps!

Answer:

x=3

Step-by-step explanation:

3x+2=11

(subtract 2 on both sides)

3x=9

(divide by 3 on both sides)

x=3

Multiply (10 + 2-8)(110 - 2-18)
A) -22
B)-246
C)10-8suqareroot2
D)10+8suqareroot2

Answers

Answer:

First Option (A) -22

Step-by-step explanation:

Answer:

a) 22

Step-by-step explanation:

just took it on edge

second problem is c!

Problem: Four students tried to write 12x + 3y=9 in equivalent y= mx + b form.
Question: Did each student get an equation that is equivalent to the original Ax + By=C form?
If so, explain the reasoning for each step. If not, tell what errors the students made.

Answers

Ali Mia and Jared are correct. Molly forgot to divide the 12 by 3

explain how you know that the two triangles have the same area.

Answers

“Congruent” means same three sides and three angles. If two triangles are congruent, they have the same area. But two triangles can easily have the same area, and have different angles and sides. For example, a 3/4/5 right triangle has area = 6.

Answer:

Step-by-step explanation:

EMERGENCY! PLEASE ANSWER ASAP!

Answers

Answer:

It looks like you can keep the same nad just add the exponents

Step-by-step explanation:

plzz mark brainliest

please help me I like really need help

Answers

Answer:

-110

Step-by-step explanation:

105 - (-5) = 110 but it’s dropping so it’s -110

A ratio table is PROPORTIONAL when SOME columns reduce to the same fraction
true or false pls asap

Answers

Answer: true

Step-by-step explanation:

Select all the irrational numbers BRAINLY PLS HEP ME RIGHT NOW IT MATH !

Answers

Answer:

rational are repeating decimals. So choose the ones without the line on the top

Step-by-step explanation:

2x+y=-5 slope intercept form please

Answers

Answer:

y=-2x+5

Step-by-step explanation:

Answer: y= -2x - 5

Step-by-step explanation:

2x + y = - 5 To convert it into slope-intercept form subtract 2x from both sides

-2x -2x

y= -2x - 5

In triangle ABC, angle a equals 25°, angle C equals 55°, and a B equals 60

Answers

Answer:

7250

Step-by-step explanation:

This is like the pythagorean theorem. So you add A^2,B^2, and C^2. So 25^2 + 60^2 + 55^2. 625 + 3600 + 3025. That equals to 7250.

Costs of homes can be very different in different parts of the United States.

2. A 2,100-square-foot home in Cheyenne, Wyoming, costs $110 per square foot. How much does this home cost?

Answers

Answer:

110 x 2100 = $231,000

Step-by-step explanation:

-3y=15
What is the slope of the line?

What is the y-int?

What is the x-int?

What is the zero?

Answers

Answer:

the slope of the line is 0

the y-int is -5

there is no x int since the is no slope

sorry about the last one, i forgot what the zero is

Please help I’m struggling image below I will mark Brainly

Answers

Answer:

5/6

Step-by-step explanation:

The x access is on 5The y access is on 6Put them together: 5/6

I'm not sure if this is correct, but I still hope this helps!

During one week, Sheila made several changes to her bank account. She made four withdrawals of $40 each from an ATM. She also used her check card for a $156 purchase. Then she deposited her paycheck of $375. By how much did the amount in her bank account change during that week?

Answers

Answer:

179

Step-by-step explanation:

40+156=196

375-196= $179.00

if I'm not wrong

Answer: $59 increase

Step-by-step explanation: since we don't know how much she had in her bank account prior to making 4 withdrawals it's hard to find the answer so a like and rating would be appreciated. We know she withdrew $40 dollars 4 times which would mean she withdrew $160 dollars, then she used her card for a $156 dollar purchase, so if we add $160 and $156 dollars we get $316 dollars spent. Then she deposited a check of $375 dollars into the bank account so we have to subtract $316 from $375 dollars to get $59 dollars, now since we subtracted and we are left with an extra amount rather than the money wasted we started with it means it's an increase as we are left with $59 and not with a price lower than $316.

An amusement park charges $20 to enter the
park and an additional fee for each time a guest
rides a roller coaster. Emily rode 5 times on a
roller coaster. Her total payment was $40.
Shaheem rode 7 times on a roller coaster. What
was his total payment?

Answers

Answer:

Shaheem paid $76 as his total.

Step-by-step explanation:

He paid $20 to get in, Emily paid $40 for 5 rides, and if you divide that to get the payment for one ride which is $8. So you multiply 8 by 7 because 7 is how many rides he rode which equals to 56, plus 20(his enter fee) would be $76.

what is the hypotenuse of 22 120

Answers

Answer:

122

Step-by-step explanation:

thats what o got anyway

PLEASE HELP!!!!!
Type the integer that makes the following subtraction sentence true:

− –478 = –398

Answers

The answer would be “-876”

x+2y=16
standard to slope intercept simplification

Answers

y = (-x + 16)/2

explanation:
x+2y = 16
-x -x
2y = -x + 16
(divide by 2 on bo sides to get y alone)

To frame a square piece of artwork such as a photo or print, a framing store bases it charge on the perimeter P, in inches, of the frame needed to surround both the artwork and a border around the artwork called a mat. A particular style of frame costs $1.50 per inch, while the glass costs $0.10 per square inch and the mat costs $0.15 per square inch. There is also a flat labor charge of $30. The total charge C for the framing is given by the function C(P) =1.5P+0.25(P4)2+30. In this function, what does the expression 0.25(P4)2represent?

Answers

Answer:

Step-by-step explanation:

What corresponds to the graph below?

Answers

Answer:

Step-by-step explanation:

Can you redo the picture

is the number 5 in the expression of constant

Answers

Yes x + 5 = 9", 5 and 9 are constants.

Other Questions

WILL GIVE BRAINLEST A Surprise for SamanthaLatterly CrovenSamantha stood up from the computer and stared out the window at the group of boys and girls laughing and talking as they strolled past her house. They carried baseballs, bats, and gloves. Samantha had seen this group playing ball in the park, and she had longed to join them. Ever since her family had arrived in the United States from Mexico, she had been trying to figure out how to make friends.If I could play their game, I could join them, she thought. To pass the time, Samantha decided to take a walk. Maybe if she passed the park, she would have the courage to speak to the ball players this time.Before Samantha reached the park, she spotted Mr. Hernandez puttering in his garden. Her family had met him shortly after they had moved into their new home. When her parents learned that his wife had died recently, they began to invite him often for dinner. Samantha was eager to get to the park, but she knew that Mr. Hernandez was lonely. She called out a greeting.Samantha, its good you are here. I think Ive been in the sun too long without a hat. I feel a little dizzy. Can you help me to the porch?Samantha guided him to the porch and brought a glass of water from the house. Mr. Hernandez seemed a little better in the shade but Samantha wanted to make sure, so she stayed awhile and chatted. Mr. Hernandez listened as Samantha poured out her longing to learn how to play baseball so that she could make friends.By the time Samantha was sure Mr. Hernandez was all right, it was too late to walk past the park. She hurried home to help her mother prepare the evening meal. Then her mother sent her back to get Mr. Hernandez. He was sitting on the porch, with an excited look on his face.Imagine what I found in my closet! he exclaimed.Beside the chair were a worn baseball bat and glove and a few balls.You didnt know I was a ballplayer in my day, did you? he asked with a twinkle in his eye.After supper that night, Samantha began her baseball lessons with Mr. Hernandez, and, within a week, she had become another one of the ballplayers in the park.Read the passage on the left to answer the following questions:15) As the story ends, why does Mr. Hernandez have an excited look on his face?A) He knew how to help Samantha. B) He was happy to have a friend. C) He was having dinner with Samantha. D) He found his baseball bat and glove. 16) Which word correctly completes this sentence?Martha has volunteered to help plan the party; _______________, she's willing to bring refreshments.A) however B) although C) in addition D) nevertheless Refer to the Newsela article "The Lakota Tribe Wants to Educate People Through Music Project."Part AWhat is an implied idea about the Lakota Music Project in the article?It was created to unite Native American musicians and their diverse ideas.It was established with the intent to increase human connectivity.It was intended to celebrate the uniqueness of Native American music and not to limit it.It was viewed as an idea that covered all areas of the human experience.Part BWhich two sentences from the text that best support the answer in Part A?Gier was eager to develop community programs, and he learned about tensions in his new community between Native and non-Native Americans.I find the Lakota Music Project a visionary undertaking, and I feel it deserves to be more widely known, said Joseph Horowitz."The Lakota Music Project's focus remains on building bridges through music."Some of the orchestra's musicians and the Porcupine Singers, a drumming circle on the reservation, met to exchange ideas and play music for one another. HEY CAN ANYONE PLS ANSWER DIS!!!!!!! 6th grade reading I mark as brainliest zoom in if needed 1. Sandra est emocionada porque hoy es su cumpleaos.2. Pedro est triste porque no quiere ir a la escuela.3. Luisa est nerviosa porque tiene un examen.4. La seora Ruiz est enojada porque los alumnos no la escuchan5. David siempre tiene hambre. 6x+9=2x+13 solve for x Problem number 26 of the Rhind Papyrus says:Find a quantity such that when it is added to StartFraction 1 Over 4 EndFraction of itself the result is a 15.The modern day equation that models this problem is x plus StartFraction 1 over 4 EndFraction x equals 15.. What is the solution to the equation?x = 10x = 12x = 15x = 30 How to make them in Musescore? ANSWER QUICKLY PLZ!!!Effective note-taking is most important when a student isin the middle of taking a test in school.taking part in extracurricular activities.watching, listening, or reading for class.playing a video game or watching TV. Select the education and qualifications that are most helpful for professional support devices cater. Check all that applyLeadership skillsKnowledge of instructional design Long-term planning skillsResearch skillsAn advanced degreeKnowledge of a foreign language Knowledge of psychology Answers: Knowledge of instructional design Research skillsAn advanced degree Knowledge if psychology Which sentence is true about a story told in first-person point of view?The narrator knows what everyone else in the story is thinking or feeling.The only feelings and thoughts the narrator can share are his or her own.The narrator can describe two events happening in different places at the same time.Other characters besides the narrator share in the storytelling.please help.Thanks The hybrid orbitals of a molecule are shown in the figure.These hybrid orbitals were most likely formed by mixingone s orbital and one p orbital.one s orbital and two p orbitals.one s orbital and three p orbitals.O two s orbitals and two p orbitals. Read the excerpt from Flannery O'Connor's "The Life You Save May Be Your Own." "A body and a spirit," he repeated. "The body, lady, is like a house: it don't go anywhere; but the spirit, lady, is like a automobile: always on the move, always . . ." This excerpt contains What was at the center of the argument for the Three-Fifths Compromise? Qu diferencia hay entre las construcciones deber + infinitivo y deber de + infinitivo? 1. In the brain,pass information through the neurons between the Mutiply. Express your answer 7/10 times 2/5 Heather wants to purchase an electric guitar the price of the guitar with tax is $2,240.if she can save $90 per month how linf will it take her to save up for the guitar PLEASE HELP!!! I HAVE TO TURN THIS IN IN 5 MINSwhat belongs in the blank spaces? How is mutation different from adaptation?