Angles around a point
Grade 8

Angles Around A Point Grade 8

Answers

Answer 1

Answer:

x=45, y=45, z= 131

Step-by-step explanation:

x and y makes up a right angle (90). You can even;y split them in half, which is 45 degrees. Therefore, x= 45 and y also = 45.

Now that there are 2 right angles, that makes up 180. 180+49=229

A full rotation is 360, so you subtract that. 360-229=131
z=131.

Answer 2

Answer:

x = 41°y = 49°z = 131°

Step-by-step explanation:

The relevant relations are ...

a straight angle measures 180°a right angle measures 90°vertical angles have the same measure

__

The angle marked 49° and the one marked "y" are vertical angles, so have the same measure.

  y = 49°

The angle marked "x" and the angle marked "y" together make up a right angle, so total 90°.

  x + y = 90°

  x + 49° = 90°

  x = 41° . . . . . . . . . subtract 49°

The angle marked z and the one marked 49° together make up a straight angle, so total 180°. (They are a "linear pair.")

  49° +z = 180°

  z = 131° . . . . . . . subtract 49°

The measures of the marked angles are ...

  x = 41°

  y = 49°

  z = 131°


Related Questions


Ronald is attending a schoolorchestra concert. He sees his math teacher seated 24 meters
ahead of him and his science teacher seated 10 meters to his right. How far apart are the two
teachers?

Answers

Answer:

26 m

Step-by-step explanation:

Use pythag theorem

24^2 + 10^2  = d^2

d= 26 m

The terminal arm of an angle drawn in standard position rotates in a positive direction through two quadrants of the coordinate plane, and then rotates an additional 25 degrees. What is the measure of the angle?
A. 205°
B. 215°
C. 155°
D. 25°

HELP!!

Answers

The measure of the angle is 205°. Then the correct option is A.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

There are 4 quadrants and each quadrant has a measure of 90° angle.

The fact that the orientation is positive indicates that the arm is moving from the first to the second quadrant.

90° + 90° = 180°

The arm has been in the third quadrant due to the additional 25° rotation.

180° + 25° = 205°

The measure of the angle is 205°.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ1

8. FInd the area. Hint: A=1/2bh
is my answer correct

Answers

The value of angle 2 will be equal to 132°.

What is the angle?

The distance between two intersecting lines or surfaces at or around the point where they meet (typically measured in degrees) is called an angle.

Given that:-

A line is intersecting two parallel lines and making angles one angle is 132 and another angle is need to be found.

We can see that the two angles are exterior opposite angles so the angle 2 will be 132

Hence the value of angle 2 will be equal to 132°.

To know more about angles follow

https://brainly.com/question/25770607

#SPJ1

Solve The equation 1/4t-6=-4
t=

Answers

Answer:

t = 8

Step-by-step explanation:

Solve The equation 1/4t-6=-4

1/4t - 6 = -4

1/4t = 2

t = 2 * 4

t = 8

-------------------

check

1/4 * 8 - 6 = -4

2 - 6 = -4

-4 = -4

the answer is good

A rectangular patio is 9 ft by 6 ft. when the length and width are increased by the same amount, the area becomes 88 sq ft. ginger is using the zero product property to solve the equation (6 x)(9 x) = 88. what does the value of x in her solutions represent? one possible length and one possible width two possible amounts for the widths two possible amounts for the lengths two possible amounts by which the dimensions were changed

Answers

The possible value of x is 2, and the possible dimensions are 8 ft by 11 ft

How to determine the value of x?

The equation is given as:

(6 + x) * (9 + x) = 88

Express 88 as a product of two factors

(6 + x) * (9 + x) = 8 * 11

Express 8 and 11 as a sum

(6 + x) * (9 + x) = (6 + 2) * (9 + 2)

By comparison, we have:

6 + x = 6 + 2

9 + x = 9 + 2

This means that

x = 2

So, we have:

The possible value of x is 2, and the possible dimensions are 8 ft by 11 ft

Read more about area at:

https://brainly.com/question/24487155

#SPJ4

Answer: D) two possible amounts by which the dimensions were changed

Step-by-step explanation:

Edg 2022

Will mark brainliest for right answer

Answers

The answer is D, or (-6, -12).

Explanation:

When dealing with dilations and scale factors, you multiply by the given number to find what the resulting points will be.

the value of y is directly proportional to the value of x .If y = 124 when x = 8 , what is the value of y when x= - 1/2

Answers

Answer:

-7.75

Step-by-step explanation:

[tex]\text{if}\ x = 8 \rightarrow y = 124\\y \propto x\\y = kx\\\\124 = k \times 8 = 8k\\\frac{124}{8} = \frac{8k}{8}\\15.5 = k\\\\\text{We've now found the formula}\\y \propto x\\y = kx = 15.5x\\\\x = -\frac{1}{2} \rightarrow y = ?\\y = 15.5x = 15.5 \times -\frac{1}{2} = -7.75[/tex]

PLEASE HELP I BEG YOU! IF I DONT FINISH MY CLASS TODAY I HAVE TO MOVE SCHOOLS

A printing service charges a set-up fee of $11.00 for each order and 15 cents more for each copy. The total cost, c (in dollars), for an order of x copies is given by the following function.
C(x)=11.00+0.15x
What is the total cost for an order of 40 copies?

Answers

Total cost = 11 + 0.15 times 40 copies
= 11 + 6 = 17

Answer:

$17 ( 17 USD )

Step-by-step explanation:

C(x)=11.00+0.15x

40 copies:

C(40) = 11+0.15(40)

C(40) = 11+6

C(40) = $17

Therefore, the total cost for an order of 40 copies is $17.

Hope this helps!!!

Please mark as brainliest!!!

P.S. I guess you don't have to change schools now?

Find the measure of exterior angle 1

Answers

Lol, I am learning about this too!! The trick is to add 60 and 25. Meaning your answer is B. (85)

math hw 1

The Normal Distribution


pls help me with my homework!!


thanks,

Answers

Using the normal distribution, it is found that the desired measures are given by:

a. Z = -0.67.

b. X = 2.2.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In item a, we have that [tex]X = 36, \mu = 40, \sigma = 6[/tex], and want to find Z, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{36 - 40}{6}[/tex]

Z = -0.67.

In item b, we have that [tex]\mu = 1.3, \sigma = 0.6, Z = 1.5[/tex], and want to find X, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.5 = \frac{X - 1.3}{0.6}[/tex]

X - 1.3 = 0.6 x 1.5

X = 2.2.

More can be learned about the normal distribution at https://brainly.com/question/24663213

#SPJ1

how do u solve this equation? ↓
10 = 7 - m
thanksss

Answers

Answer:

17

Step-by-step explanation:

10=7-m

m=???

so if you do 10+7 which equal 17 and then do 17-7 you will get ten

m=17

have a good day

Answer:

the answer is -3

Step-by-step explanation:

10 = 7 -m

swap sides so that all the variable terms are on the left hand side

7 - m =10
subtract 7 from both sides

-m + 10 - 7

subtract 7 from 10 to get 3

multiply both sides by -1

m = -3

The number of bacteria, B left parenthesis d right parenthesis, in a certain population increases according to the following function, where time, d, is measured in days:

B(d)= 2425e to the power of 0.15 d

How many days will it take for the bacteria to reach 3,700?

Answers

The time taken by the bacterias to reach 3,700 will be 2.81 days.

What will be the time?

It is given in the question that:-The the number of bacteria, B left parenthesis d right parenthesis, in a certain population increases according to the following function, where time, d, is measured in days:

[tex]B(d)=2425\ e^{0.15d[/tex]

[tex]3700= 2425\ e^{0.15d}\\\\\\e^{0.15d}=\dfrac{3700}{2425}\\\\\\0.15d=ln\dfrac{3700}{2425}\\\\\\[/tex]

d   =   2.81  days

Hence the time taken by the bacteria to reach 3,700 will be 2.81 days.

To know more about exponential questions follow

https://brainly.com/question/2456547

#SPJ1

Identify the initial mount (A) and the growth factor (B) be in each exponential function break into (1+r) where the r is the rate of growth. Give r as a percentage.

y = 1.4 (1.02)
a=
b=
r (as a percentage) =

Answers

A= 1.4
B= (1+.02)
Rate of growth as a percentage is 2%
Please give brainliest

Please help l don’t understand

Answers

Based on the graph given, the two points that need to be plotted are (9, 4) and (7, 3).

How should a graph on Age v. Hours of TV watched be plotted?

The points that are already plotted on the graph represent the results of the hours of television watched by children.

For instance, children of 6 years watched 2 hours of television. For that reason, the point where 6 (x axis) and 2 (y axis) meet on the graph is marked with an x.

The last two points would therefore be (9, 4) and (7, 3) to show that 9 year olds watch 4 hours of television and 7 year olds watch 3 hours of television.

Find out more on constructing graphs at https://brainly.com/question/1660438?referrer=searchResults.

#SPJ1

P(Head, Diamond AND Head, Heart) = ?

Answers

Using it's concept, it is found that the desired probability is given as follows:

P(Head, Diamond AND Head, Heart) = 1/64.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, for each trial, there are 8 equally as likely outcomes, hence:

P(Head, Diamond) = 1/8.P(Head, Heart) = 1/8.

Hence the probability of both outcomes is given by:

P(Head, Diamond AND Head, Heart) = 1/8 x 1/8 = 1/64.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

What is the distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth?

Answers

Step-by-step explanation:

first, draw a graph and subtract the nbers in brackets with the others. when done -6,-4 will help you solve the answer

The  distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth is 11.7 units

Distance between two points

The formula for calculating the distance between two points is expressed as:

D = √(y2-y1)²+(x2-x1)²

Given the coordinate points X(−4,3) and Y(2,−7)

Substitute

XY = √(-7-3)²+(2+4)²

XY = √(-10)²+(6)²

XY = √100+36
XY = √136

XY = 11.7 units

Hence the  distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth is 11.7 units

Learn more on distance here: https://brainly.com/question/17273444

#SPJ2

Convert the angle to radians. leave as a multiple of pi.


324 degrees

a.

startfraction 8 pi over 5 endfraction

c.

startfraction 18 pi over 5 endfraction

b.

startfraction 9 pi over 5 endfraction

d.

startfraction 9 pi over 10 endfraction

Answers

The correct answer is C

Simplify.
Remove all perfect squares from inside the square root. Assume aaa is positive.
\sqrt{27a}=

Answers

Answer:

I hope this is the whole question

Step-by-step explanation:

Well I can only see one way and it is this...

[tex]\sqrt{27a}[/tex]  =  [tex]\sqrt{3.3.3.a}[/tex]

         =  [tex]3\sqrt{3a}[/tex]

I got rid of one perfect-square. I dont think you can do much more.

What does paper folding have to do with exponents?

Answers

Answer:

See below

Step-by-step explanation:

If you take a whole sheet of paper and fold it in half, for instance, you will have 2 rectangles. If you fold it in half again, you will get 4 rectangles, and so on. Each time you fold by one-half, you keep doubling the amount of rectangles.

The graph shows triangle A B C is congruent to triangle D E F ​by S A S, where segment C A is congruent to segment F D, segment C B is congruent to segment F E, and angle C is congruent to angle F

Move the statements to the table to create a series of transformations that will map triangle A B C onto triangle D E F to show that the two triangles are congruent.
What is Transformation 1 and. Transformation 2

Answers

reflection on x-axis

then translations right 3 units & down 2 units

a girl saved $13.50 in 6 weeks. at that rate, how long will it take to save $108?

Answers

Answer:

48 weeks to save $108

Step-by-step explanation:

$13.50 = 6 weeks so dividing both sides by 6 would find out how much each week

$13.50 / 6 = 6 / 6 weeks

$2.25 = per week

so $2.25 times _____ = $108

2.25x = 108 divided both side by 2.25 to get x alone

x is defined by the number of weeks

2.25x / 2.25 = 108 / 2.25

x = 48            $2.25 times   48   = $108

A game has a spinner with 15 equal sectors labeled 1 through 15. what is p(multiple of 4 or multiple of 7)? 215 15 25 13

Answers

The probability that the spinner is multiple of 4 or multiple of 7 is 1/3

What is probability?

Probability is the likelihood or chance that an event will occur, Mathematically;

Probability = expected/total

If a game has a spinner with 15 equal sectors labeled 1 through 15, the total outcome is 15

P(multiple of 4) = 3/15 =1/5

Pr(multiple of 7 )= 2/15

p(multiple of 4 or multiple of 7) = 1/5 + 2/15
p(multiple of 4 or multiple of 7) = 5/15 =1 /3

Hence the probability that the spinner is multiple of 4 or multiple of 7 is 1/3

Learn more on probability here: https://brainly.com/question/25870256

#SPJ4

In the diagram, the length of segment AB is 10 units and the radius of the circle centered at A is 4 units. Use this to create two unique triangles, each with a side of length 10 and a side of length 4. Label the sides that have lengths 10 and 4.

Answers

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C.

The two triangles can be made as shown below, the bigger triangle will be an equilateral triangle with each side measuring 10 units, while the smaller triangle will be an isosceles triangle and the measure of the same length side will be equal to the radius of the circle.

Learn more about Triangle:

https://brainly.com/question/2773823

#SPJ1

2. The annual cost of science club membership is $ 95. The cost
increases by $20 every year. How much will it cost in 9 years?

Answers

Answer:

275

Step-by-step explanation:

20 x 9 = 180

180 + 95 = 275

need help asap please

Answers

Answer:

The radius of the circle r=12.

The area of a circle is 144π.

Step-by-step explanation:

The radius of the circle is r where 2πr=24π, r=12.

The area of a circle with radius 12 is

A=πr², A=π12², A=144π.

What is the surface area of the prism in square inches? A prism is made up of 3 rectangles and 2 triangles. A rectangle has a base of 14 inches and height of 8 inches. A rectangle has a base of 14 inches and height of 5 inches. A rectangle has a base of 14 inches and height of 5 inches. 2 triangles have a base of 8 inches and height of 3 inches. 60 square inches 168 square inches 276 square inches 304 square inches.

Answers

Answer:

c: 275

Step-by-step explanation:

NEED HELP ASAP!!! 50 POINTS Match the following items by evaluating the expression for x = -6.
x^-2
x^-1
x^0
x^1
x^2

Answers

Answer:

x^-2 = 1/36

x^-1 = 1/6

x^0 = 1

x^1 = -6

x^2 = 36

#1

(-6)^-21/(-6)²1/36

#2

(-6)^(-1)1/(-6)

#3

x^0(-6)⁰1

#4

(-6)¹(-6)

#5

(-6)²36

A, B and C lie on a straight line.
Given that angle
y
= 135° and angle
z
= 103°, work out
x
.

Answers

Answer:

x = 42

Step-by-step explanation:

a striaght line = 180°

z + y + x = 180

103 + 135 + x = 180

138 + x = 180

subtract 138 from both sides

138 - 138 + x = 180 - 138

x = 42

Answer:

what shape it is

Step-by-step explanation:

wat is the shape

help me please i would pay you but i cant

Answers

Answer:

-3k + 10

Step-by-step explanation:

you have to combine -8 and 2 because they are like terms, but since -8 is being subtracted from -3k the minus sign and the negative sign basically combine to make a positive sign so it would make it -3k + 8 + 2 which gives you -3k + 10

Answer: Heyaa! ~

Your Answer is... − 3k+10

Step-by-step explanation:

Just Combine the terms! ^

Hopefully this helps you! ~

-5(8a - b) - 2(-6a + 9b)

Need answer plis

Answers

The simplified answer is: -28a - 13b
Other Questions
Who was gilgamesh, the hero of ancient mesopotamian mythology?. Sadie earns $11.25 per hour. Do her earnings vary inversely or directly withher number of hours worked? Determine how many hours she worked in aweek if her earnings were $146.25. Does all art have to be committed to thinking, or can we admit artistic forms that do not have a concrete purpose?Please give me a full answer and with your real opinion! Four theme topics for the wizard of oz At a local town council, people debated a proposal that would change the use of public space for recreational use by demolishing a skating park and building an arboretum. This is known as the problem of:Multiple choice question.locating scarce resources.overusing scarce resources.allocating scarce resources.eliminating scarce resources. In 'The Lord of the Flies", when Ralph sobs at the end, he is weeping for all of the following, except:a.The fact that he will never again be as hopeful and optimistic about people and the future as he was when he first landed on the island.b.Piggyc.The death of the brave parachutist who was from the boys homeland.d.The evil nature of man. 12Select all the correct answers.Why did Nixon promote a diplomatic relationship with China?to gain China's help in fighting the North Vietnameseto gain an advantage in negotiations to end the Vietnam Warto open up trade opportunities for the United Statesto keep the Soviet Union from supplying China with military aidU to convince France to join the United States in the Vietnam War 1620Solve for x. A mood disorder is characterized by an inability to recall important information, usually traumatic or stressful in nature, that is too extensive to be normal forgetfulness. please select the best answer from the choices provided t f A(n) ________ is issued by the clerk of the court and is delivered with a copy of the complaint to the defendant. The principal observes 8th grade the following day. Of the 120 students, 42 brought their lunch from home, 72 purchased lunches, and 6 brought a lunch from home and purchased an ice cream. Explain how the principal could use the numbers from 7th grade to predict the 8th grade possibilities. Which sign makes the following statement true? 3.9 _____ 9/10 Solve for y when x = 5.y = 3x + 4 What message do you think Hitler and the Nazi Party were trying to communicate with the opening ceremonies of the 1936 Olympics? The GDP of the United States in 2015 was about .From 2000 to 2015, the GDP has mostly .The GDP will most likely in the next five years. On the basis of its name, what is the correct structural formula for pentene? CH2=CHCH2CH3 CH3CH2CH2CH3 CH3CH2CH2CH=CH2 CH3CH2CH2CH2CH3 8696 is divisible by what numbers? *choose all that apply* 9 10 4 3 6 2 5 d By having Ms. Charleston invite Ava to join the parade, whatdoes the author accomplish?The author provides an opportunity for the reader tolearn about other fantasy characters in the PoisonCreeper saga.The author introduces a flashback about Ava'sembarrassing experience on her previous birthday.The author increases the tension over whether Avawill be able to get through the crowd on time.The author falsely hints that Ms. Charleston willbecome an important character.A PLEASE HELP! WILL MAKE BRAINLIEST + 25 POINTSRead the poem and answer the question. [1]I wandered lonely as a cloud That floats on high o'er vales and hills, When all at once I saw a crowd, A host, of golden daffodils; [5]Beside the lake, beneath the trees, Fluttering and dancing in the breeze. Continuous as the stars that shine And twinkle on the milky way, They stretched in never-ending line [10]Along the margin of a bay: Ten thousand saw I at a glance, Tossing their heads in sprightly dance. The waves beside them danced; but they Out-did the sparkling waves in glee: [15]A poet could not but be gay, In such a jocund company: I gazedand gazedbut little thought What wealth the show to me had brought: For oft, when on my couch I lie [20]In vacant or in pensive mood, They flash upon that inward eye Which is the bliss of solitude; And then my heart with pleasure fills, And dances with the daffodils. Wordsworth uses the word "dance" throughout his poem. In a paragraph of 3-5 sentences, analyze how the poet uses "dance" in stanzas 3 and 4. Who is dancing in these two stanzas? In each instance, what does the use of the word "dance" reveal about Wordsworth's view of nature? What are five ways to help keep groundwater clean?