a) (i) Write down the value of angle x.
71° z
X=
(ii) Give a reason for your answer.
b) (i) Write down the value of angle y.
y =
(ii) Give a reason for your answer.
y
х
65°
c) Work out the size of angle z.
o
Z=

A) (i) Write Down The Value Of Angle X.71 ZX=(ii) Give A Reason For Your Answer.b) (i) Write Down The

Answers

Answer 1

Step-by-step explanation:

hope this helps you!! :))

A) (i) Write Down The Value Of Angle X.71 ZX=(ii) Give A Reason For Your Answer.b) (i) Write Down The
Answer 2

The value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].

What is angle ?

Angle is the space between two lines or surfaces that meet, and is  measured in degrees.

So,

According to the question;

[tex]\angle x =65^0[/tex]

([tex]\angle x[/tex]  is vertically opposite of the given angle  [tex]65^0[/tex])

[tex]\angle y = 71^0[/tex]

(Because when a transversal line intersects two parallel lines then each pair of alternate interior angles is equal.)

We know that,

Sum of all angles of triangle is equals to [tex]180^0[/tex].

i.e.

[tex]x+y+z=180^0[/tex]

we have,

[tex]65+71+z=180[/tex]

[tex]z=180-136[/tex]

[tex]z=44^0[/tex]

So, the value of [tex]z[/tex] is [tex]44^0[/tex].

Hence, we can say that the value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].

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Related Questions

Find the area of the rectangle contained within the following four lines

x =1, x = -2 , y= -3, y=2



How do you do this please help with this question pleaseeeeeee if you give good explanation I will make you brain list thing. This is a linear relation ship question. PLEASE HELP WITH THIS QUESTION

Answers

Answer:

should be 15 hope I helped you out.

Step-by-step explanation:

Answer:

15 sq unit

Step-by-step explanation:

Easiest way to understand this question is to plot the lines on the graph which will give you a rectangle with four sides at given points.

the length of the said rectangle will be l = 1 + (-2)

and the breath b = 2 + (-3)

Area= lxb = 15 sq.unit

the mean number of goals scored is 2.5.
the mean number of away goals scored is 1.8.

How many home and away games have been played in total?

Answers

Answer:

2 games.

Step-by-step explanation:

2.5 + 1.8 = 4

4 divided by 2 = 2

Total 32 games home and away games have been played.

What is the mean?

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

From the bar chart :

We can obtain the total number of goals scored :

Home goals (quarter 1 to quarter 4) :

= (9 + 6 + 8 + 7)

= 30

Away goals (quarter 1 to quarter 4) :

= (2 + 7 + 4 + 5)

= 18

Using the relation :

Mean goals scored = total goals scored / number of games played

Home games :

Mean goals = 2.5

Number of home games played = total goals scored / mean goals

= 30 / 2.5

= 22

Away games :

Mean goals = 1.8

Number of away games played = 18 / 1.8

= 10

Therefore, number of home and away games played in total = 22 + 10 = 32 games

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describes the end behavior of the graph.

Answers

Answer:  B) [tex]+\infty[/tex]

=================================================

Explanation:

As x goes to positive infinity, we're moving forever to the right.

If we have a point on the curve, then the point will move to the right and it will also move upward forever.

So as [tex]x \to \infty[/tex] we have [tex]y \to \infty[/tex]

Because y = f(x), this is the same as saying [tex]f(x) \to \infty[/tex]

The notation [tex]+\infty[/tex] is the same as [tex]\infty[/tex]

In terms of words, we can say "the curve rises to the right" to describe the end behavior on the right.

Holden wants to earn money teaching kids how to skate. It costs him $250 to advertise his new skate school. He charges students $16 and hour to learn how to skate. How many hours does he have to teach in order to make $768, the amount needed to
buy a new gaming system?

Create an equation where r represents the
number of hours Holden needs to work.

Answers

Answer:

16r - 250 = 768

Step-by-step explanation:

First, create a term that represents his revenue:

Since he charges students $16 per hour, the amount of money he makes from this can be represented by 16r.

Then, subtract the advertising cost of $250 from this.

Set it equal to 768, because that is how much the gaming system costs.

16r - 250 = 768 will be the equation

aleena bought 15 kg of fruits she brought 3kg 750 g of apples 4kg 250g of mangoes and rest were oranges find the weight of oranges
pls urgent will surely mark u the brainliast​

Answers

Answer:

8.950 kg

Step-by-step explanation:

Lemme know if incorrect

Find the range of the function f(x) = 9x − 17 for the domain {1, 3, 5}.

Answers

Answer:

range is -8,10,28

Step-by-step explanation:

9(1)-17=-8

9(3)-17=10

9(5)-17=28

Hope this helps

A and \angle B∠B are supplementary angles. If m\angle A=(5x-19)^{\circ}∠A=(5x−19)

and m\angle B=(2x+10)^{\circ}∠B=(2x+10)

, then find the measure of \angle B∠B.

Answers

Answer: 52

Step-by-step explanation:

4x+8 = 5x-3 by the Vertical Angles Theorem that states the vertical angles are congruent.  

Subtract 4x from both sides and get:

8=1x -3

Add 3 to both sides:

11= 1x

if x =11, plug that in to angle A.  

4x+ 8 becomes 4(11)+8 =

44+ 8=

52

30 is what percent of 125? Please help

Answers

Answer:

24%

Good Luck!!!

Answer:4.85

Step-by-step explanation:

Choose the equation of the horizontal line that passes through the point (2, 3). (1 point)
A.X= 2
B.x = 3
C.y=2
D.y = 3

Answers

Answer:

the answer is A, x=2

Step-by-step explanation:

If f(x)=4x-3 and the domain of f is {0,5,10}, what is the range of f?

Answers

{-3, 17, 37}
As well I know this is the answer try checking it again in your book or whatever thing you learnt from.

Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost? Describe the steps that you took to determine your answer.Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost? Describe the steps that you took to determine your answer.

Answers

Answer:

$3.6

Step-by-step explanation:

Given that 8 rolls cost $4.80

let us compute how much 1 roll will cost (that is the unit cost of a roll)

so  8 rolls cost $4.80

     1 roll will cost x

x= 4.8/8

x=$0.6

so the paper tower cost $0.6 per roll (this is the rate)

therefore 6 rolls will cost

=6*0.6

=$3.6

can someone answer this and explain? and the one below, will mark brainlest

Answers

Step-by-step explanation:

there were 50 boxes of gum

each box had 36 packs of gum

in each pack were 15 pieces of gum

so total pieces of gum:

for one box of gum total pieces= 15*36= 540 pieces

for 50 boxes= 540*50= 27000 pieces of gum in total

number sentence:

15*36=540

540*50= 27000

bonus question:

27 gums in 1 day

27000 gums in x days

27000/27= 1000 days

Answer:

540 pieces x 50

27000/27=1000 days

The product of Greg's height and 5 is 90

Answers

Answer:

450

Step-by-step explanation:

is the answer

PLEASE HELP ANYONE:))

Answers

Answer:

3 million dollars

Step-by-step explanation:

i just did this and got it right

I need help pls , Solve: 5a + 4 = 19

Answers

5a+4=19 this is the equation to solve for a 5a=19-4

5a=15

a=15÷3

a=3

The standard height from the floor to the bull's-eye at which a standard dartboard is hung is 5 feet 8 inches. A standard dartboard is
18 inches in diameter.
Suppose a standard dartboard is hung at standard height so that the bull's-eye is 11 feet from a wall to its left.
Samuel throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor.
Does Samuel's dart land on the dartboard?

Answers

Answer:

Yes, Samuel dart does land on the dart board

Step-by-step explanation:

The given parameters are;

The height from the floor to the bulls eye = 5 feet 8 inches

The size of the standard board = 18 inches diameter

The distance of the bulls eye from the wall to the left = 11 feet

The distance the dart Samuel throws land from the left wall = 11.5 feet

The distance above the ground, the dart Samuel throws land = 5.5 feet

Whereby Samuel throws the dart directly at the dartboard, we have;

The location of the bulls eye = (11, 5.67)

The equation of the circle representing the dart board = (x - 11)² + (y - 5.67)² = 0.75² = 0.5625

The unit of the radius is in feet

The position of Samuel's dart is represented by the coordinate, (11.5, 5.5)

Plugging in the coordinates of the position of Samuel's dart into the equation of the circle of the dart board gives;

(11.5 - 11)² + (5.5 - 5.67)² = 0.2789 ≈ 0.528²

Therefore, given that the square of the distance of the position of Samuel's dart is less than the square of the radius of the dart board, we have;

Yes, Samuel dart does land on the dart board.

From the parameters given to find out if Samuel's dart landed on the dartboard, we can say that;

Samuel's dart does not land on the dartboard.

We are given;

Height from the floor to the bulls eye = 5 ft 8 in = 5.67 ft

Diameter of the standard dartboard = 18 in = 1.5 ft

Thus, radius; r = 1.5/2 = 0.75 ft

Distance of the bulls eye from the wall to the left = 11 ft

Distance of dart thrown by Samuel from the left wall = 11.5 ft

Height of dart thrown by Samuel above the ground = 5.5 ft

We know that general equation of a circle is;

(x - a)² + (y - b)² = r²

Since Height from the floor to the bulls eye is 5.67ft,then a = 5.67 ft

And also since Distance of the bulls eye from the wall to the left = 11 ft, then b = 11 ft

Thus;

(x - 11)² + (y - 5.67)² = 0.75²

(x - 11)² + (y - 5.67)² = 0.5625

Now, since he throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor. Thus;

r² = (11.5 - 11)² + (5.5 - 5.67)²

r² = 0.2789

r² of 0.2789 gotten here is lesser than 0.5625 gotten earlier, we can conclude that Samuel's dart does not land on the dart board.

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i need help i will mark

Answers

Answer:

[tex]-34.[/tex]

Step-by-step explanation:

[tex] - {4}^{2} + (5 - 2)( - 6) = \\ 16 + 18 = \\ -34. \\ \\ ♨Rage♨[/tex]

If B = 3x^2-x+3and A=x-6, find an expression that equals 2B+3A in standard form?

Answers

Answer:

[tex]6x^{2} +x-12[/tex]

Step-by-step explanation:

All you need to do is multiply equation B by 2 and multiply equation A by 3, then put an addition sign between them and combine like terms after you've distributed what you needed for each one.

Help! look at the image of the table of values below. Over which interval of x is the average rate of change the largest?

Answers

Answer:

A

Step-by-step explanation:

There is no way to tell a pattern.

When electrons flow with little resistance through a conductor it is called a

Answers

Answer:

The answer is free electrons

Step-by-step explanation:

When electrons flow with little resistance through a conductor, then it is called a Electricity.

What are electrons?

"The electron is a subatomic particle whose electric charge is negative one elementary charge."

What is resistance?

"Resistance is a measure of the opposition to current flow in an electrical circuit."

What is conductor?

"A conductor, or electrical conductor, is a substance or material that allows electricity to flow through it. "

What is Electricity?

The steady flow of electrons through a conductor is called electricity

Hence , if electrons are flowing that means they conducts electricity.

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Is this a function? Explain

Answers

Answer:

Yes

Step-by-step explanation:

The only reason a graph will not be a function is if it doesn't pass the vertical line test. In other words, if you draw a vertical line at any point, it will never pass through more than 1 point.

In that case, that is true, so it must be a function.

what is (3,0) reflected on the y-axis

Answers

Reflecting across the y axis, the x value becomes opposite and the y value remains the same.

(3,0) becomes (-3,0)

Answer:

(-3, 0)

Step-by-step explanation:

There is the same amount of units from either side of the y-axis to the points.

Which one is the right answer?

Answers

Answer:

angle 2 is 35 degrees

angle 3 is 55 degrees

Answer:

(below)

Step-by-step explanation:

since angles 3 + 4 are a right angle (90 degrees) 90 - 35 = 55. so, m of angle 3 = 55 degrees

1 is a right angle. so, m of angle 1 = 90 degrees

if all interior angle of a triangle add up to 180, angle 2 must equal 35

و please tell me what the slope is​

Answers

Answer: slope = 6

Step-by-step explanation:

Slope is rise over run.

Find two perfect points and see how many up/down you go and how many left/right you go.

On this one, you go up 6, right 1.

6/1 is 6.

Hope this helps!

Answer:

6

Step-by-step explanation:

m=y2-y1/x2-x1

take two points from the graph (0, -1) and (1, 5)

5-(-1)=6

1-0=1

6/1=6

hope this helps :3

The formula for the volume of a rectangular prism is V = lwh. Which is the equivalent equation solved for h?​

Answers

Answer:

V /(lw) = h

Step-by-step explanation:

V = lwh

Divide each side by lw

V/ ( lw) = lwh/(lw)

V /(lw) = h

V /(lw) = h

V = lwh

Divide each side by lw

V/ ( lw) = lwh/(lw)

V /(lw) = h

Help mehh please
Alaina has $28 in her account. She wants to purchase a pair of shoes that costs $45. If Alaina makes the purchase, which integer will represent the amount of money in Alaina’s account?
–73
–27
–23
–17

Answers

Answer:

The real answer is -17, do the math.

Step-by-step explanation:

28 - 45= -17

28 + 17 = 45

45 - 28 = 17

-6x =48

need help urgently

Answers

Answer:

x = -8

Step-by-step explanation:

Divide each side by -6 to cancel out the -6 next to x. It should now look like this: x = -8

I hope this helps!

[tex]equation \: given[/tex]

[tex]→-6x =48[/tex]

[tex]step \: by \: step \: explanation:[/tex]

[tex] \implies{- 6x = 48}[/tex]

[tex]\implies \: x = \frac{48}{ - 6 } [/tex]

[tex] \blue{\implies \: x = - 8}[/tex]

HELPPP

Given h(x) = 2x + 2, solve for x when h(x) = 4.

Answers

Answer:

x = 1

Step-by-step explanation:

2x + 2 = 4

2x = 2

x = 1

2x + 2 = 4
2x = 2
x = 1

Determine the domain, range and whether each table represents a function.​

Answers

The domain is the possible x values- so it is 1,2,3 .
The range is the possible y values- which are 4,6,8 .
Yes it does represent a function because each element of X is related to ONE element of y.

Hope that helped!
Domain = {1,2,3}Range = {4,6,8}This is a function

==========================================================

Explanation:

The domain is the set of all possible x values. The range is the set of all possible y values.

Since we don't have any repeated x values, we have a function. Any given input x leads to exactly one y output value. Visually plotting the points leads to the graph passing the vertical line test, which shows the relation is a function.

Mrs. Greene wants to plant a vegetable garden in her yard. She purchased a package containing 30 sections of fencing, each 1-foot long If she uses all 30 sections to create rectangular space, how many different arrangements are possible? What is the largest area she can enclose for her garden with this fencing?

Answers

Answer:

The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]

Step-by-step explanation:

Suppose the rectangular space Mrs. Greene wants to plant has dimensions x feet and y feet.

Since each section of fencing is 1-foot long, both x and y must be integer numbers.

The perimeter of the rectangular space is calculated as:

P = 2x + 2y

And we know she uses all 30 sections of fencing, thus:

2x + 2y = 30, where x, y are integers and positive.

Simplifying by 2:

x + y = 15

Solve for x:

x = 15 - y

This equation doesn't have infinitely many solutions, since both numbers must be integers and positive. Suppose we start by setting y=1, then x=14. That is a possible arrangement for the garden.

Another valid option is for y=2, x=13

Continuing with these patterns, we find the maximum value for y is 7, x=8, because if we set y=8, x=7, this is the same condition as y=7, x=8.

Thus, from y=1 to y=7, there are 8 possible combinations for the arrangement of the garden.

The area of a rectangle is

[tex]A=x\cdot y[/tex]

Testing some possible arrangements:

y=1, x=14

[tex]A=1\cdot 14= 14 ft^2[/tex]

y=2, x=13

[tex]A=2\cdot 13= 26 ft^2[/tex]

y=3, x=12

[tex]A=3\cdot 12= 36 ft^2[/tex]

We can notice the combination y=7, x=8 has an area of:

[tex]A=7\cdot 8= 56 ft^2[/tex]

This is the largest possible area of all combinations, thus:

The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]

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Townsend Industries Inc. manufactures recreational vehicles. Townsend uses a job order cost system. The time tickets from November jobs are summarized as follows: Job 201 $4,280 Job 202 2,140 Job 203 1,690 Job 204 3,140 Factory supervision 1,460 Factory overhead is applied to jobs on the basis of a predetermined overhead rate of $22 per direct labor hour. The direct labor rate is $15 per hour. If required, round final answers to the nearest dollar. Required:a. Journalize the entry to record the factory labor costs. b. Journalize the entry to apply factory overhead to production for November. Name the starred note on the pianoPLEASE help I dont understand this and this is on a timed test!! Thank u! SomeOne help me with this Consider the following scenario:Cold Goose Metal Works Inc.s income statement reports data for its first year of operation. The firms CEO would like sales to increase by 25% next year.1. Cold Goose is able to achieve this level of increased sales, but its interest costs increase from 10% to 15% of earnings before interest and taxes (EBIT).2. The companys operating costs (excluding depreciation and amortization) remain at 70.00% of net sales, and its depreciation and amortization expenses remain constant from year to year.3. The companys tax rate remains constant at 40% of its pre-tax income or earnings before taxes (EBT).4. In Year 2, Cold Goose expects to pay $300,000 and $2,306,475 of preferred and common stock dividends, respectively.Complete the Year 2 income statement data for Cold Goose, then answer the questions that follow. Round each dollar value to the nearest whole dollar.Cold Goose Metal Works Inc. Income Statement for Year Ending December 31 Year 1 $30,000,000 21,000,000 1,200,000 $7,800,000$ Year 2 (Forecasted) Net sales Less: Operating costs, except depreciation and amortization Less: Depreciation and amortization expenses Operating income (or EBIT) Less: Interest expense Pre-tax income (or EBT) Less: Taxes (40%) Earnings after taxes Less: Preferred stock dividends Earnings available to common shareholders Less: Common stock dividends Contribution to retained earnings 1,200,000 780,000 $7,020,000 2,808,000 $4,212,000s 300,000 $3,912,000 1,895,400 $1,605,525 $2,519,025 Given the results of the previous income statement calculations, complete the following statements: In Year 2, if Cold Goose has 25,000 shares of preferred stock issued and outstanding, then each preferred share should expect to receive____________ in annual dividends If Cold Goose has 200,000 shares of common stock issued and outstanding, then the firm's earnings per share (EPS) is expected to change from __________ in Year 1 to in ________ Year 2 Cold Goose's before interest, taxes, depreciation and amortization (EBITDA) value changed from _______ in Year 1 to in ______ Year 2 It is __________ to say that Cold Goose's net inflows and outflows of cash at the end of Years 1 and 2 are equal to the company's annual contribution to retained earnings, $1,605,525 and $2,519,025, respectively. This is because of the items reported in the income statement involve payments and receipts of cash A water-salt mixture calls for 3/4 cup if salt to be placed in 5 1/2 cups of water if i use 1 cup if salt how much water should i use to preserve the proper water to salt ratio O O Ms o menos, y usted? 4. (01.02, 01.03 LC) Read and select the best expression to complete this dialogue. A boss meets up with one of her employees: -Buenos das. seorita? -Buenos das. Estoy muy bien, gracias. Jy usted? (2 points) O Cmo ests t Mucho gusto Estoy mal Cmo est usted 501 2 MON A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 110 miles in 2 hours, and the truck traveled 180 miles in 3 hours, who is on pace to reach the destination first? In round 1 of a game s student loses 5 points loses 3 points gains 17 points and loses 7 points whats the student score at the end of round 1 Why do animal population decrease between July and December A dozen of roses cost $64.44. How much did each rose cost? 4. Evaluate the following expression for r= 5.2(r2 - 8) What is the solution to the system of equations? 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