In the diagram, m ZXYZ = 115° and mZWXY = 45°
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In The Diagram, M ZXYZ = 115 And MZWXY = 45

Answers

Answer 1

Answer:

m∠XWY = 70°

Explanation:

Two opposite interior angle sum up to one exterior angle on a straight line.

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

? + 45° = 115°

? = 115° - 45°

? = 70°

Answer 2

Answer:

The value of angle XWY = 70°

Step-by-step explanation:

=> angle XYZ + angle XYW = 180° { linear pair }

=> angle XYW + 115° = 180°

=> angle XYW = 180° - 115°

=> angle XYW = 65°

Now angle WXY + angle XWY + angle XYW = 180° { sum of angles of a triangle is 180° }

=> 45° + 65° + angle XWY = 180°

=> angle XWY + 110° = 180°

=> angle XWY = 180° - 110°

=> angle XWY = 70°


Related Questions

How many 3-digit numbers contain at least one zero?

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Answer:

171

Step-by-step explanation:

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A local daycare is updating its marketing material. The owner wants to include the average age of children who currently attend the daycare. The current breakdown of children by age is located in the table below. Use this information to calculate the average age of children attending the daycare. Round to the nearest tenth.

Answers

Answer: n2.4

Step-by-step explanation:

Average age=6⋅1+4⋅2+3⋅3+5⋅46+4+3+5=4318=2.38888...=2.4

The average age of a child attending this daycare is 2.4 years old.

If i subtract my number, then square the result, I get the same answer as if i square my number, then subtract 20 from the result

Answers

The Algebraic equations (x - 20)² and x² - 20 have an equal value My number is 6.

What is an Algebra equation?

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

I think of a number, if I subtract 10 from my number, then square the result, I get the same answer as if I square my number, then subtract 20 from the result.

Let the number be x.

If I subtract 20 from my number that is x - 20 then square the result that is (x-20)².

And if I square my number that is x² then subtract 20 from the result that is x² - 20.

Both the result are the same then we have

         (x - 20)² = x² - 20

x² - 20x + 100 = x² - 20

  -20x + 100 = -20

                  x = 6

My number is 6

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Find an equation of the line passing through the pair of points (3,5) and (6,11). Write the equation in the form Ax+By=C

Answers

Answer: (4,8)

Step-by-step explanation:

Question 14 of 25 The image shows the location of ladders around a circular pool. 10 C 8 2 0 2 B (6y-2 85 -12 -10 0 2 Cody walks clockwise around the pool from point D to point E. How many degrees of arc does he walk? If your answer is a decimal, express your answer to the nearest hundredth. ​

Answers

The degrees of arc which Cody he walks clockwise around the pool from point D to point E is 105 degrees.

What is inscribed polygon in circle?

The inscribed polygon in a circle is the polygon of which each corner point is on the circle.

The image shows the location of ladders around a circular pool. Cody walks clockwise around the pool from point D to point E. In the given image the value of x i,

[tex]2x+8=86\\2x=86-8\\x=\dfrac{78}{2}\\x=39^o[/tex]

Thus, the angle C and angle B are the supplementary angle. Thus,

[tex]m\angle C=m\angle D\\7y-4=360-(3y-6)\\7y+3y=360+6+4\\10y=370\\y=37[/tex]

3y-6 is the inscribed angle which intercept the arc DE. Thus,

[tex]\text {arc } DE= 3y-6\\\text {arc } DE= 3(37)-6\\\text {arc } DE= 105[/tex]

Thus, the degrees of arc which Cody he walks clockwise around the pool from point D to point E is 105 degrees.

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Pablo's father is 4 years older than his mother and Pablo is a third his mother's age.
If their combined age is 74 years

Answers

Answer: 11

Explanation:

Choose the graph that represents the equation y=x-2

Answers

Step-by-step explanation:

The choices are not given but the graph looks like the above picture.

Answer:

just use Desmos graphing calculator, it works great.

Step-by-step explanation:

Hi can someone please help me

Answers

Answer:

Last and second lastv

Step-by-step explanation:

According to the rational factorization.

please help me!! i've been stuck on this question for the past few days.

Answers

Answer:

It transforms down 6.


5. Change the following mixed numbers to improper
fractions.
a. 3 5/6
b. 2 7/8
C. 5 1/5
D. 7 1/9

Answers

a.23/6
b.23/8
c.26/5
d.64/9

richard has two circular sprinklers to water his rectangular backyard as shown.

Answers

Answer:

109.88 ft² (nearest hundredth)

Step-by-step explanation:

Formulae

Area of a rectangle = width × lengthArea of a circle = πr²

To find the area of the lawn that is not watered, subtract the area of the 2 circles from the area of the rectangle.

From inspection of the diagram

width of rectangle = 2rlength of rectangle = 4rarea = 512 ft²

Substituting the values into the area of a rectangle formula, and solving for r:

⇒ 512 = 2r × 4r

⇒ 512 = 8r²

⇒ r² = 64

⇒ r = ±8

As distance is positive, r = 8 ft

Area of one circle = π8² = 64π  ft²

Therefore,

Area not watered = area of rectangle - 2 × area of circle

                             = 512 - 2(64π)

                             = 109.88 ft² (nearest hundredth)

Bashir bought snacks for his team's practice. He bought a bag of apples for $2.91 and a 6-pack of juice bottles. The total cost before tax was $15.69. Write and solve an equation which can be used to determine j j, how much each bottle of juice costs.

Answers

An equation that can be used to determine j j, each bottle of juice costs 15.69 = 6j + 2.91

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Bashir bought snacks for his team's practice. He bought a bag of apples for $2.91 and a 6-pack of juice bottles.

The total cost before tax was $15.69.

An equation that can be used to determine j j, is how much each bottle of juice costs.

15.69 = 6j + 2.91

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Please help. I need the answer

Answers

Answer:

B

Step-by-step explanation:

[tex]m-5\neq 5-m[/tex]

The others follow the rules of the commutative property of multiplication/addition.

Answer:

B

m - 5

Step-by-step explanation:

1) division

2) m - 5 . Since subtraction is not commutative

Please help!! Can somebody give me a step by step answer for 3m = 531. I’ve been wanting to know how to do the questions but I don’t know how to solve them.

Answers

[tex]3m = 531 \\ divide \: both \: sides \: by \: 3 \\ \frac{3m}{3} = \frac{531}{3} \\ m = 177[/tex]

The given box plot represents the number of pictures taken by tourists on the same group tour. Which five-number summary represents this
data set?
Photographs Taken by Tourists
00
8
10
12
18
26 28
30 32
14 16 20 22 24
Number of Photographs
OA. 8, 16, 23, 28, 32
OB. 10, 16, 23, 28, 32
Ос. 10, 16, 22, 28, 32
OD. 8, 10, 16, 28, 32

Answers

Answer: b: 10, 16, 23, 28, 32

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

its B !

I already wrote the ordered pair. Just write how the number pairs are related.

Answers

Answer:

it is related by 35 because you are adding 35.

Step-by-step explanation:

solve:
-0.4k-6=1.2

If you answer this you're a God

Answers

Answer:

The answer is k = -18

Step-by-step explanation:

This is so easy... so first you do -2k/5 - 6 = 1.2

                                                     -2k + 5(-6)/5 = 1.2

                                                      and then all that divided by 5

What’s 12 3/4+17/2+5 4/6

Answers

The answer to this question is simply 4-6 a because it’s this is because of the

Solve and show your work for each question.
Note: Remember per the rule of 9s if you have a repeating and non-repeating component you need to handle them separately.
What is 0.47 expressed as a fraction in simplest form?
What is 0.4¯7 expressed as a fraction in simplest form?
What is 0.¯47 expressed as a fraction in simplest form?
Answer:
show work on how you did it

Answers

The computation of the figure illustrates that 0.47 expressed as a fraction in simplest form is 43/90.

How to compute the fraction?

From the information given, let a = 0.47. Now 10a = 4.777 .... equation i

100a = 47.77 ..... equation ii

Subtract equation i from ii

100a - 10a = 47 - 4

90a = 43

Divide both side by 90

90a/90 = 43/90

a = 43/90

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Mill rate is the tax rate that is applied to the assessed value of a real estate property by a municipality. Your tax is calculated by multiplying the mill rate by the assessed value of a property and dividing by 1,000. If your town's mill rate is 8 and your assessed home value is $188,000, how much will your town tax bill be?

Answers

If your town's mill rate is 8 and your assessed home value is $188,000, your town tax bill will be $1504.

What will be your town tax rate?

Tax is a complusory amount levied by the government or an agency of the government on the sales of goods and services. It is a fomr of transfer of wealth to the government.

Town tax = (8 x $188,000) / 1000 = $1504

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suppose f(x) =x . Find the graph of f(x)-4

Answers

Answer:

you just need two points to graph it.

x=0, you get y=0; which is the origin.

x=1, y=4.

you should get something like this:

Step-by-step explanation:

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

[tex]\sf \sin A=\boxed{\dfrac{5}{13}}\quad\cos A=\boxed{\dfrac{12}{13}}\quad\tan A=\boxed{\dfrac{5}{12}}[/tex]

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse

Given:

[tex]\theta[/tex] = AO = BC = 5A = AC = 12H = AB = 13

[tex]\implies \sf \sin A=\dfrac{5}{13}\quad\cos A=\dfrac{12}{13}\quad\tan A=\dfrac{5}{12}[/tex]

can someone help me ? need help asap​

Answers

Answer:

The answer is 1/2. You are correct the slope is 1/2

Step-by-step explanation:

Which of the following is an example of theoretical probability? OA. Elena called 5 friends, and 3 of them were at home. The probability Elena's friends are at home is 3/5 B. A spinner has 8 equal sections numbered 1 ? 8. The probability of spinning the number 3 is 1/8 C. A coin was flipped 100 times, and the results were 53 heads and 47 tails. The probability of heads is 53/ 100 D. Greg turned over 10 playing cards, and 3 of them were aces. The probability of turning over an ace is 3/10​

Answers

An example of theoretical probability from the considered option is given by: Option 2: A spinner has 8 equal sections numbered 1 to 10. The probability of spinning the number 3 is 1/8

What is experimental probability?

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]

where, [tex]P_e(E)[/tex]is denoting experimental probability of occurrence of E.

What is theoretical probability?

Probability which is derived theoretically, irrespective of what outcome comes, is called theoretical probability. Probabiltiy which is based on the outcomes of experiments performed is called experimental probability.

Suppose we want to find the probability of an event E.

Then, its theoretical probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

Checking all the options to see which one gives theoretical probability:

Option 1: Elena called 5 friends, and 3 of them were at home. The probability that Elena's friend are at home is 3/5

This option uses what was observed from one result. Thus, 3/5 is experimental probability here, as there is no evidence of it being theoretical probability but enough support towards being experimental probability.

Option 2: A spinner has 8 equal sections numbered 1 to 10. The probability of spinning the number 3 is 1/8

No experiment is done here, just the description of the setup of the random experiment.

Now, E = event of getting 3 on the spinner.

All spinner's parts are assumingly equally likely, we have:

Number of ways E can occur = 1

Number of ways spinner's outcome can come = 8

Thus, we get P(E) = 1/3

Thus, this option is demonstrating theoretical probability.

Option 3: A coin was flipped 100 times, out of which 53 heads and 47 tails. The probability of heads is 53/100

This is using experimental results to get the estimated probability.

Actually, assuming coin being fair, both the tail and heads being equally probable, if we take:

E = event of getting head, then as there are two results possible being Tail or Head (assuming only 2 results), and there is one way of getting head in one toss, so we get:
P(E) = 1/2 = 0.5

Thus, this option is demonstrating experimental probability instead of theoretical one.

Option 4: Greg turned over 10 playing cards, and 3 of them were aces. The probability of turning over an ace is 3/10

It is using the data from one experiment. So its experimental probability. Sometimes we can get experimental probability = theoretical probability value, but still, there'd be difference of how you calculated it from the start. Usually, if calculated from experiment, then its experimental probability, and if calculated virtually and based on theories, it is theoretical probability.

Thus, an example of theoretical probability from the considered option is given by: Option 2: A spinner has 8 equal sections numbered 1 to 10. The probability of spinning the number 3 is 1/8

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P P,Q and R can finish a task in 8, 10 and 12 hours respectivly.They started working together but after 3 hours, P and R left. How long will Q take to finish the task now?​

Detail it

Answers

Answer:

45 minutes

Step-by-step explanation:

Assume task completed in total x hours

[tex]\frac{x}{10} + \frac{3}{8} + \frac{3}{12} = 1 \\ 12x + 45 + 30 = 120 \\ 12x = 45 \\ x = \frac{15}{4} = 3 \frac{3}{4}[/tex]

So q will take 45 more minutes

Find the value of x to the nearest tenth.

1.9
3.5
–4.4
7.5

Answers

Answer:

The correct answer is 7.5

Step-by-step explanation:

[tex] \tan(62) = \frac{x}{4} [/tex]

then you multiply by 4 and you get:

[tex] \tan(62) \times 4 = x[/tex]

Result:

[tex]x = 7.5[/tex]

How do you solve for this?

Answers

[tex]\bold{ANSWER:}[/tex]
x = 9

[tex]\bold{EXPLANATIONS:}[/tex]

Gas prices are projected to increase by 125% Over the next several years. If a gallon of gas currently costs $3.60. What is the projected cost of a gallon of gas?

Answers

Answer:

$ 8.10

Step-by-step explanation:

3.60   *   2.25  =

The label on the car's antifreeze container claims to protect the car between −40°C and 125°C. To covert Celsius temperature to Fahrenheit temperature, the formula is C equals five ninths times the quantity F minus thirty two.. Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.

Answers

Answer:

see below

Step-by-step explanation:

The label on the car's antifreeze container claims to protect the car between -40°C and 125°C.

So inequality which models this situation will be -40°C < T < 125°C

Now we have to show this inequality in Fahrenheit temperature with the help of [tex]C=\frac{5}{9} (F-32)[/tex]

So the compound inequality in Fahrenheit temperature will be

[tex]-40 < \frac{5}{9} (F-32) < 125[/tex]

15 POINTS TO ANYBODY THAT SOLVE THIS EQUATION

Answers

Answer:

This is how i had my answer

Hope it helped

Answer:

r=6

Step-by-step explanation:

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