Which relationship is always true for the angles x,y and z of triangle ABC

Which Relationship Is Always True For The Angles X,y And Z Of Triangle ABC

Answers

Answer 1

Answer:

B. y + z = x

Step-by-step explanation:

x is an exterior angle of the triangle.

y and z are the opposite angles opposite the exterior angle.

The exterior angle theorem of a triangle states that the measure of an exterior angle equals the measure of the sum of the two angles opposite the exterior angle.

Thus:

y + z = x


Related Questions

Can anyone help me with this question

Answers

Answer:

50%

Step-by-step explanation:

If angle f is 50 degrees and cuts it to 75 degrees

Find the difference between the two numbers

75-50 = 25

Divide by the correct value

25/50 = 1/2

Change to percent form

50%

how to solve letters and numbers in a box

Answers

It depends on what its asking for and what dimension it is. If its 2D, the area is lengthXwidth, and perimeter you would add all the side lengths. If its 3D, volume is lengthXwidthXheigth.

hello how are you today. Question 2(×+-5)+×=×+(-6) ​

Answers

Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

2(x + -5) + x = x + (-6)

Step 2: Solve for x

[Distributive Property] Distribute 2:                                                                 2x - 10 + x = x - 6[Addition] Combine like terms (x):                                                                   3x - 10 = x - 6[Subtraction Property of Equality] Subtract x on both sides:                         2x - 10 = -6[Addition Property of Equality] Add 10 on both sides:                                   2x = 4[Division Property of Equality] Divide 2 on both sides:                                  x = 2

Answer:

x=2 ( see Image below)

Step-by-step explanation:

cancel equal terms on both sides of the equation

2(x-5)=-6

move the constant to the right -hand side and change its sign

2x= -6 +10

Calculate the sum

2x=4

divide both sides of the equation by 2

x=2

Find the value of PR if Q is between P and R
when PQ=25, PQ=2x+1, and QR=x.
X
ат
X=8

Answers

Answer:

[tex]PR = 37[/tex]

Step-by-step explanation:

Given

[tex]PQ = 25[/tex]

[tex]PQ = 2x +1[/tex]

[tex]QR = x[/tex]

Required

PQ

Since Q is between the given points, then:

[tex]PR = PQ + QR[/tex]

This gives:

[tex]PR = 2x + 1 + x[/tex]

Collect like terms

[tex]PR = 2x + x+ 1[/tex]

[tex]PR = 3x + 1[/tex]

Next, solve for x

We have:

[tex]PQ = 25[/tex]

[tex]PQ = 2x +1[/tex]

This gives:

[tex]2x + 1 = 25[/tex]

Collect like terms

[tex]2x = 25 -1[/tex]

[tex]2x = 24[/tex]

Divide by 2

[tex]x = 12[/tex]

So:

[tex]PR = 3x + 1[/tex]

[tex]PR = 3 * 12 + 1[/tex]

[tex]PR = 37[/tex]

Look at the illustration.
What is WX?

Answers

Answer:

O  0.5 units

Step-by-step explanation:

so the first thing we have to do is to calculate for the dilation factor. Taking point G as the reference point, we can see that the distance of point G from rectangle W'X'Y'Z is 1.5 while the distance from rectangle WXYZ is (1.5 + 7.5) = 1.5 / 9 = 1/6

Since WX has an initial measure of 3 units, therefore the measure of W'X' is:

W'X' = 3 units *(1/6) = 0.5 units

A meeting on an unpopular topic has been announced. The number of attendees may be modeled by X where What is the probability that at least 5 people attend the meeting given that at least 2 attend

Answers

Answer:

The probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

A meeting on an unpopular topic has been announced. The number of attendees may be modeled by X where:

P(X = x) = 1 / 2^(x+1), for x = 0,1,2,...

What is the probability that at least 5 people attend the meeting given that at least 2 attend?

The explanation of the answer is now provided as follows:

Given:

P(X = x) = 1 / 2^(x+1), for x = 0,1,2,...                    (1)

Since it is given that at least 2 attend, it implies that we need to calculate P(x) at x = 2.

Substituting x = 2 into equation (1), we have:

P(X = 2) = 1 / 2^(2 + 1)

P(X = 2) = 1 / 2^3

P(X = 2) = 1 / 8

P(X = 2) = 0.1250, or 12.50%

Therefore, is the probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.

The upwards acceleration of a small rocket at time t s is given by a = 16 − 1.5t. The rocket is subject to this
acceleration for 3 seconds. Given that it starts from rest at t = 0, calculate the height reached by the rocket in
this time

Answers

Answer:

11.5

Step-by-step explanation:

plug 3 in for x

then solve

Graph the equation. Let x​3, ​2, ​1, ​0, 1,​ 2, and 3. y=3x-1

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The attachment shows the table of point values and the graph.

Simplify log2 20-log2 30.​

Answers

Answer:

[tex] log_{2}(20) - log_{2}(30) \\ log_{2}(20 \div 30) \\ log_{2}(0.667) [/tex]

hope this helps you

Brainliest appreciated

log1(20)-log2(30)

log2 (20÷30)

log2=0.667

C
What is the equation of the line that is parallel to the line y - 1 = 4(x + 3) and passes through the point (4, 32)?
SER
O y=-*x+33
y=-*x+36
O y =
O y = 4x - 16
O y = 4x + 16
Mark this and retum
Save and Exit
Nex
Submit

Answers

9514 1404 393

Answer:

  y = 4x + 16

Step-by-step explanation:

You can replace the point coordinates in the given point-slope form to get ...

  y - 32 = 4(x -4)

Then rearrange to put this into slope-intercept form.

  y = 4x -16 +32 . . . . eliminate parentheses, add 32

  y = 4x +16 . . . . . . . . simplify

the line below are parallel. If green line has a slope of 2/5 what is the slope of the red line? enter your answer as an integer or fraction in lowest terms

Answers

Answer:

if they are parallel it would almost be opposite but they would be negative instead of positive

Suppose that g(x)= f(x)+ 6. Which statement best compares the graph of g(x) with the graph of f(x)?

A. The graph of g(x) is the graph of f(x) shifted 6 units down.

B. The graph of g(x) is the graph of f(x) shifted to the right.

C. The graph of g(x) is the graph of f(x) shifted 6 units to the left.

D. The graph of g(x) is the graph of f(x) shifted 6 units up.

Answers

Answer:

D

Step-by-step explanation:

The + 6 moves it up 6 units.

The correct answer is (D) "The graph of g(x) is the graph of f(x) shifted 6 units up."

What is the function?

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

When we add a constant to a function, such as in the case of g(x) = f(x) + 6, it will shift the graph of f(x) upward by 6 units.

This is because, for any value of x, the value of f(x) will be added to 6, resulting in a vertical shift of the entire graph.

Option (A) is incorrect because adding 6 to f(x) would shift the graph up, not down.

Option (B) is incorrect because adding a constant to a function does not cause it to shift horizontally.

Option (C) is incorrect because adding 6 to f(x) would shift the graph right, not left.

D. The graph of g(x) is the graph of f(x) shifted 6 units up. Adding a constant term to a function will shift the graph of the function vertically. In this case, adding 6 to f(x) will shift the graph of f(x) upward by 6 units, resulting in the graph of g(x).

Learn more about function here:

https://brainly.com/question/29633660

#SPJ7

Write the formulae of area and volume of different solid shapes. Find out the variables and constants in them.​

Answers

Answer:

Step-by-step explanation:

1 . Sphere :

    [tex]Surface \ Area = 4\pi r^2\\\\ Volume = \frac{4}{3} \pi r^3[/tex]

  Variable is ' r '

  Others Constants.

2. Cone :

   [tex]Surface \ Area = \p r^2 + \pi rs[/tex]          [tex][ \ s = \sqrt { r^2 + h^2 } \ , r = base \ radius, h = height \ ][/tex]

    [tex]Volume = \frac{1}{3} \pi r^2 h[/tex]

   Variables are ' r ' and ' h '

   Others constants.

3. Cuboid ( Rectangular Prism )

   [tex]Surface \ Area = 2 ((l\times b) + ( b \times h) + ( l \times h)) \\\\Volume = l \times \ b \times \ h[/tex]

   Variables : l , b , h

   Constant is 2

4.  Cylinder

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

    Variables : ' r  ' and ' h '

   Others constants..

Answer:

shapes. cuboid. cube. cylinder. prism. sphere. pyramid. rightcircularcone. volumeformula. l×w×h. v=a . 3. v=πr . 2. h. v=b×h. v=( 3. 4)πr . 3. v=( 3. 1)×h×b. v=( 3. 1)πr . 2. h. variables. l=length,w=width,h=height. a=side. r=radius,h=height. b=base,h=height. r=radiusofthesphere. b=areaofthebase,h=heightofthepyramid. r=radiusofthecircularbase,h=height

Step-by-step explanation:

Ahmed can 8 1/3 km in one hour. how much distance will he cover in 2 2/5​

Answers

Answer:

In 2 2/5 hours, he will cover 20 km.

Step-by-step explanation:

Given that,

Ahmed can 8 1/3 km in one hour.

We need to find the distance he cover in 2 2/5 h.

In 1 hour = 8 1/3 km = 25/3 km

2 2/5 hour means 12/5 hour

In 12/5 hour = 12/5 × 25/3 km

= 20 km

So, in 2 2/5 hours, he will cover 20 km.

help pleaseeee it’s timed!!!

Answers

Answer:

C

Step-by-step explanation:

The solution triangle is attached below :

Tonobtinnthe Angle formed, θ; we apply trigonometry ;

Using ;

Cos θ = Adjacent / hypotenus

Cos θ = 4 / 7

θ = Cos^-1(4/7)

θ = 55.15°

θ = 55°

Determine which value best approximates the length of the arc represented by the integral ∫_0^1 √1 + [d/dx(4/x+1)]² dx.
(Make your selection on the basis of a sketch of the arc and not
by performing any calculations.)
(a) 10
(b) -5
(c) 2
(d) 4
(e) 1

Answers

Answer:

Option C

Step-by-step explanation:

From the question we are told that:

Length of arc integral

[tex]l=\int_0^1 \sqrt{1 + [\frac{d}{dx}(\frac{4}{x+1})]^2 dx}[/tex]

The Sketch is attached below

From the Graph

Approximation gives length of arc as

[tex]l=\sqrt{5}[/tex]

[tex]l=2[/tex]

Option C

Solve the equation by completing the square. Round to the nearest hundredth x^2 + 2x = 15

Answers

Answer:

x = 3, x = -5

Step-by-step explanation:

A perfect square trinomial is represented in the form a^2 + 2ab + b^2. We are already given the a^2 term, x^2, and the 2ab term, 2x. From this we can say:

a^2 = x^2

a = x

Now, we can substitute x for a in the other expression to create the equation:

2ab = 2x

2(x)b=2x

b = 1

From this, b^2 is one, so, to get our trinomial all on one side, we add 1 to both sides:

x^2 + 2x = 15

x^2 + 2x + 1 = 16

Now, we can factor. The perfect square trinomial factors into (a + b)^2. In this case, a is x, and b is one. We can factor and get:

(x + 1)^2 = 16

Now, we take the square root of both sides:

x + 1 = ± 4

We can separate this into two equations and solve:

x + 1 = 4

x = 3

x + 1 = -4

x = -5

Answer:

Step-by-step explanation:

x^2 + 2x = 15

x^2 + 2x + [1/2(2)]^2 = 15 +  [1/2(2)]^2

(x + 1/2(2) )^2 = 15 + [(1/2)(2)]^2

(x + 1)^2 = 15 + 1^2

(x + 1)^2 = 15 + 1

(x+1)^2 = 16                       Take the square root of both sides.

sqrt( (x + 1)^2 ) = sqrt(16)

x + 1 = +/- 4

x + 1 = 4

x = 4 - 1 = 3

x + 1 = -4

x = -4 - 1

x = - 5

So the roots are 3 and - 5

Use elimination to solve the system of equations.
10x + 5y = 55
y - 2x = -9
A. (1,1)
B. (1,5)
C. (5, 1)
D. (4,5)

Answers

Answer:

C. (5,1)

Step-by-step explanation:

10x+5y=55 equation 1

y-2x=-9 equation 2

y=-9+2x isolate y in equation 2

10x+5(-9+2x)=55 substitute value of y from equation 2 into equation 1

10x-45+10x=55

20x=100

x=5

solve for y by using x value (5) in either equation

y-2x=-9

y-2(5)=-9

y-10=-9

y=1

To estimate the difference we need four averages for the categorized groups i.e., control group before change, control group after change, treatment group before change and treatment group after change.

a. True
b. False

Answers

Answer:

b. False

Step-by-step explanation:

In a research study, when a researcher wants to find the impact of a new treatment, then the researcher randomly divides the the study participants into two groups. The groups are :

-- control group

-- treatment group

The control group is a group that is used to establish the cause-and-effect relationship by making the effect of an independent variable isolate. It receives no treatment or some standard treatment for the which the effect is already known.

The treatment group receives the treatment for which the effect the researcher is interested in.

Thus the averages of the four categorized groups are not required for estimating the difference.

Therefore, the answer is FALSE.

anna opened a bank account she adds the same amount of money to it​

Answers

Answer:

What’s the numbers? Or the question?

Step-by-step explanation:

What’s the numbers or the question????

A cyclist travels at an average speed of 18 mph for 2 hours.
How far did she travel in miles?

Answers

Answer:

36

Step-by-step explanation:

18 miles per hour so for 2 hours which is double, she should have traveled 36 miles.

Good Luck!

by selling 33m of cloth ,prabha gained the selling price 11 m.what is the gain percent​

Answers

Answer:

The gain percent is 33.3 %

Step-by-step explanation:

Let the selling price of 1 m cloth is p.

Cost of 33 m = 33 p

gain = cost of 11 m = 11 p  

The gain percentage is given by

[tex]\frac{11 p}{33 p}\times 100\\\\= 33.3 %[/tex]

The gain percent is 33.3 %.

cort
Here are ten numbers:
3 7 2 4 7 5 7 1 8 8
Write down the mode.
b)
Work out the median.
c)
Calculate the mean.
What is the range?

Answers

Answer:

The mode is 7 and 8

The mean is 5.2

The range is 7

The football and soccer teams at Juan's middle school are selling movie tickets. He wants to determine the average
number of tickets sold at the school. First, he surveyed eight random players on the football team. Then, he surveyed
every third athlete on the football and soccer team. Which sampling technique should produce a more representative
sample?
The first sampling method, surveying eight random football players, is the most representative.
O Neither sample will be representative.
Both samples should be exactly the same.
The second sampling method, survey.ing the both teams, is the most representative.

Answers

Step-by-step explanation:

both samples should be exactly the same

Find the area of the rectangle if the perimeter is 52 cm

Answers

Answer:

No solution is possible from the information provided

Step-by-step explanation:

I 0 ×I 1× I 2 ×I 3×I 4

Answers

Answer:

the answer is twelve by multiplying them all.

Answer:

2 , 40,420

Step-by-step explanation:

10 × 11 × 12 × 13 × 14

1,320 × 182

2,40,240

what is 1.0185 rounded to the nearest thousandth???​

Answers

Answer:

1.019 is the answer

Find the slope of each line (each block is one unit):

Answers

Answer:

-2

Step-by-step explanation:

Slope formula for any given two points

(y2 - y1 / x2 - x1)

The points chosen may vary but the points I chose were (0,1) and (2,-3)

Our next step is to identify the variables

y2 = -3

y1 = 1

x2 = 2

x1 = 0

We then plug in the values into the slope formula

slope = ( -3 - 1 ) / ( 2 - 0 )

Simply

Slope = -4 / 2

Simply even further

Slope = -2

the slope of each line is -2.

Answer:

Solution Given:

let's find out the given points.

1st point[tex] (x_1,y_1)=(0,1)[/tex]

another point is:

[tex](x_2,y_2)=(2,-3)[/tex]

now

By using slope formula

[tex] \green{\boxed{m=\frac{y_2-y_1}{x_2-x_1}}}[/tex]

now

substituting value

we get

m=[tex]\frac{-3-1}{2-0}=\frac{-4}{2}=-2[/tex]

it cost $246 to turf a lawn of 43m ² . how much will it cost to turf a lawn of 61m square 2 .​

Answers

Answer:

$348.96

Step-by-step explanation:

246÷43=5.72

61-43=18

18×5.72=102.96

102.96+246=348.96

Four students want to have their picture taken together. They will stand side-by-side for the picture. In how many different ways can the four students be arranged to take a picture?

Show your work, please :')

Answers

Answer:

24 ways

Step-by-step explanation:

This is the permutation of 4:

4P4 = 4! = 1*2*3*4 = 24 ways

[tex]\huge\qquad \mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}[/tex]

✶⊶⊷⊶⊷❍❁❥❀❥❁❍⊶⊷⊶⊷✶

Four students want to have their picture taken together. They will stand side-by-side for the picture. In how many different ways can the four students be arranged to take a picture

so we have to find the permutation of 4

4×3×2×124

.°. In 24 different ways can the four students be arranged to take a picture

Other Questions
What's the Area of the Rectangle, Triangle and the entire shape? En la biblioteca(library), los amigos _a estudianC.comenb. bailand. all of the abovePlease select the best answer from the choices providedB DSave and ExitNextSubmitMark this and return Taivon is training for a running and biking race. The biking part of the race is longer than the running part, so while Taivon trains, he wants to bike more than he runs. He decides that for every 4 miles he runs, he wants to bike 16 miles. How far should Taivon bike if he runs 11 miles? What is the solution to the system of equations? write a program to update the rate by increasing 20% from sequential data file "items.dat" that store item name.rate and quantity Qu significa esto? Un movimiento de las mujeres arrodilladas delante de l distrajo su atencin, . Mercury Company has only one inventory pool. On December 31, 2021, Mercury adopted the dollar-value LIFO inventory method. The inventory on that date using the dollar-value LIFO method was $201,000. Inventory data are as follows:Year Ending Inventory at Year-End Costs Ending Inventory at Base Year Costs 2019 $260,400 $248,000 2020 347,300 302,000 2021 350,400 292,000 Required:Compute the inventory at December 31, 2019, 2020, and 2021, using the dollar-value LIFO method. Someone please help me with this question Schell Company manufactures automobile floor mats. It currently has two product lines, the Standard and the Deluxe. Suppose that Schell has conducted further research into its overhead and potential cost drivers. As a result, the company has compiled the following detailed information, breaking total overhead into three cost pools:Activity Cost Pools Cost Driver Cost Assigned to Pool Quantity/Amount Consumed by Standard Floor Mat Line Quantity/Amount Consumed byDeluxe Floor Mat Line Material handlingNumber of moves$2,300.0050 moves50 moves Quality controlNumber of inspections$8,763.00570 inspections700 inspections Machine maintenanceNumber of machine hours$14,360.003,090 machine hours4,090 machine hoursRequired :1. Calculate the activity rates for each cost pool assuming Schell uses an ABC system. (Round your answers to 2 decimal places.)Activity RateMaterial HandingPer Material MoveQuality ControlPer InspectionMaintenancePer Machine Hourm2. Calculate the amount of overhead that Schell will assign to the Standard floor mat line. (Round your intermediate calculations to 2 decimal places.Total Overhead Assigned3. Determine the amount of overhead Schell will assign to the Deluxe product line. (Round your intermediate calculations to 2 decimal places.)Total Overhead Assigned Behaviors in deer such as herding and male deer using antlers to compete for females increase the chances of successful reproduction.True or False The world's population is expected to drop over the next fifty years.True or false Use this excerpt from the Declaration of Independence to answer the following question:When in the course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assumeamong the powers of the earth, the separate and equal station to which the Laws of Nature and of Nature's God entitle them, a decent respect to the opinions ofmankind requires that they should declare the causes which impel them to the separation --Public DomainWhich Enlightenment philosophy is evident in this excerpt?Absolute monarchy can be a legitimate form of government under certain specific circumstancesThe application of reason is an idea that is always more important than any notion of traditionPeople are bom with natural rights that political organizations should not violateThe bureaucracy of the state should not be held victim to the dictates of the Church In Contrast to most European countries, the United States governmentA. is based on a written constitution.B. operates slowly and deliberately.C. shares fewer powers with subordinate governments.D. operates quickly and efficiently. GIVING OUT BRAINLIEST PLUS 10 PTS what happened if we drinking 6 litres of water in three hours without taking a trip to the bathroom I am going to bye a three bags of plums and the cost of the plums are $4000 but I only have $300 how many more money do I need Plz help the first and correct answer will be marked as brainliest answer complete the passage with suitable relative pronouns.there may be more than ine possible answer: (C). True false type questions 1. Mobile phones does not use radio waves to transmit messages, Please give a real answer. No Docs/No files/No link I will rate a 5-star and give the brainiest.