∠A and \angle B∠B are vertical angles. If m\angle A=(5x-9)^{\circ}∠A=(5x−9) ∘ and m\angle B=(8x-30)^{\circ}∠B=(8x−30) ∘ , then find the value of x

Answers

Answer 1

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

Vertical angles have the same measure, so ...

  m∠A = m∠B

  (5x -9)° = (8x -30)°

  21 = 3x . . . . . . . . . divide by °, add 30-5x

  7 = x . . . . . . . . . . divide by 3


Related Questions

Sebastian is going to choose the color pattern

Answers

Answer:

use blue red blue red

Step-by-step explanation:

The fraction
8
produces a repeating decimal.
0.375
O A. True
O B. False

Answers

It is false

Step-by-step explanation:

Hope it will help you

the answer is false, answer b

One of the factor of x² +3x+2 is x+1 then the other factor is …..​

Answers

Hi there!

[tex]\large\boxed{(x + 2)}[/tex]

x² + 3x + 2

We know that x + 1 is a factor, so:

We must find another number that adds up to 3 when added to 1 and multiplies into 2 with 1. We get:

x + 2

(x + 1)(x + 2)

suppose you have a bank account earning 6% annual interest rate compounded monthly, and you want to put in enough money so that you can withdraw $100 at the end of each month over a time frame of ten years. calculate how much money you need to start with. show work.

Answers

Answer:

maybe 10000

Step-by-step explanation:

Answer:

9007.35

Step-by-step explanation:

First find the effective rate: .06/12= .005

let x= amount

[tex]x=100\frac{1-(1+.005)^{-12*10}}{.005}\\100*\frac{1-.549632733}{.005}\\9007.345333[/tex]

625^1+1 *125^-1-1 *25^-1+2​

Answers

Answer:

626.968

Step-by-step explanation:

EMDAS rule

Suppose 41% of the students in a university are baseball players. If a sample of 524 students is selected, what is the probability that the sample proportion of baseball players will be greater than 44%

Answers

Answer:

"0.0808" is the appropriate response.

Step-by-step explanation:

Given:

n = 524

[tex]\hat{P}[/tex] = 41%

or,

   = 0.41

[tex]1-\hat{P}=1-0.41[/tex]

         [tex]=0.59[/tex]

[tex]\mu \hat{P}=\hat{P}[/tex]

     [tex]=0.41[/tex]

Now,

⇒ [tex]6 \hat{P}=\sqrt{\frac{\hat {P}(1-\hat{P})}{n} }[/tex]

         [tex]=\sqrt{\frac{0.41\times 0.59}{524} }[/tex]

         [tex]=0.0215[/tex]

[tex]P(\hat {P}>44 \ percent)[/tex]

or,

[tex]P(\hat{P}>0.44)[/tex]

          [tex]=1-P(\hat{P}<0.44)[/tex]

          [tex]=1-P(\frac{\hat{P}-\mu \hat{P}}{6 \hat{P}} <\frac{0.44-0.41}{0.0215} )[/tex]

          [tex]=1-P(z<1.40)[/tex]

By using the standard normal table, we get

          [tex]=1-0.9192[/tex]

          [tex]=0.0808[/tex]    

Hellooo can you please help me on this

Answers

Answer:

0 = 0

1 = 4

2 = 8

Step-by-step explanation:

So you multiply x by 4 to get y. Your first column is x. So you multiply those numbers by 4 to get y.

Answer:

0

4

8

Step-by-step explanation:

y = 4x

Substitute each x into equation to get y

y = 4(0)

y = 0

You have been doing research for your statistics class on the prevalence of severe binge drinking among teens. You have decided to use 2011 Monitoring the Future (MTF) data that have a scale (from 0 to 14) measuring the number of times teens drank 10 or more alcoholic beverages in a single sitting in the past 2 weeks.
a. According to 2011 MTF data, the average severe binge drinking score, for this sample of 914 teens, is 1.27, with a standard deviation of 0.80. Construct the 95% confidence interval for the true averse severe binge drinking score.
b. On of your classmates, who claims to be good at statistics, complains about your confidence interval calculation. She or he asserts that the severe binge drinking scores are not normally distributed, which in turn makes the confidence interval calculation meaningless. Assume that she or he is correct about the distribution of severe binge drinking scores. Does that imply that the calculation of a confidence interval is not appropriate? Why or why not?

Answers

Answer:

(1.218 ; 1.322)

the confidence interval is appropriate

Step-by-step explanation:

The confidence interval :

Mean ± margin of error

Sample mean = 1.27

Sample standard deviation, s = 0.80

Sample size, n = 914

Since we are using tbe sample standard deviation, we use the T table ;

Margin of Error = Tcritical * s/√n

Tcritical at 95% ; df = 914 - 1 = 913

Tcritical(0.05, 913) = 1.96

Margin of Error = 1.96 * 0.80/√914 = 0.05186

Mean ± margin of error

1.27 ± 0.05186

Lower boundary = 1.27 - 0.05186 = 1.218

Upper boundary = 1.27 + 0.05186 = 1.322

(1.218 ; 1.322)

According to the central limit theorem, sample means will approach a normal distribution as the sample size increases. Hence, the confidence interval is valid, the sample size of 914 gave a critical value at 0.05 which is only marginally different from that will obtained using a normal distribution table. Hence, the confidence interval is appropriate

(2x+3)(5x-8)
10x7€ 16x+158–24
10x2-x-24

Answers

Answer:

16X+134

Step-by-step explanation:

In parallelogram ABCD, line AC is congruent to line BD. Is ABCD a rectangle?
A. Yes
B. No
C. Cannot be determined

Answers

9514 1404 393

Answer:

  A.  yes

Step-by-step explanation:

The diagonals of a rectangle are congruent and bisect each other.

The diagonals of a parallelogram bisect each other. If they are also congruent, then the parallelogram is a rectangle.

Answer:

Yes.

Step-by-step explanation:

Press option yes

PRACTICE
Find and circle the verb to be in the text about
Sean Canty.
2 a Practice the verb to be.
5 b
2. We are
1.1
.... at home.
in the classroom.
3. My father ............. at work now.
4. My grandmother ....... alive.
5. It ............. Saturday today.
1. What
2
-
3. Whe
4. How
5. Wha
2h

Answers

jvdhvfggvvvbbbbbbbbb

which linear inequality represents the graph below?

A. y < -1/4x-4
B. y < 4x-4
C. y < -1/4x+4
D. y < -4x+4​

Answers

I choose C as my answer

I am a 2 digit number ,my two digit and the sum of my digit are in sequence .what number I am?

Answers

Answer:

I don't understand the meaning of question

Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5% significance level.
Test H0 : p=0.2 vs Ha : p≠0.2 using the sample results p^=0.27 with n=1003
Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places.

Answers

Answer:

The value of teh test statistic is [tex]z = 5.54[/tex]

The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that the proportion differs from 0.2.

Step-by-step explanation:

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.2 is tested at the null hypothesis:

This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2*0.8} = 0.4[/tex]

Using the sample results p^=0.27 with n=1003

This means that [tex]X = 0.27, n = 1003[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.27 - 0.2}{\frac{0.4}{\sqrt{1003}}}[/tex]

[tex]z = 5.54[/tex]

P-value of the test and decision:

The p-value of the test is the probability that the sample proportion differs from 0.2 by at least 0.07, which is P(|z| > 5.54), that is, 2 multiplied by the p-value of z = -5.54.

Looking at the z-table, z = -5.54 has a p-value of 0.

2*0 = 0.

The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that the proportion differs from 0.2.


If asphalt pavement costs $0.70 per square foot, find the cost to pave the circular How much does it cost to pave this road?
road in the figure shown
nents
(Round to the nearest dollar as nooded)


Please help :)

Answers

Answer:

Cost to pave the road = $4257

Step-by-step explanation:

Area of the pavement = Area of the outer circle - Area of the internal circle

Area of the outer circle = πr²

                                       = π(55)²

                                       = 3025π square feet

Area of the inner circle = π(33)²

                                       = 1089π square feet

Area of the pavement = 3025π - 1089π

                                     = 1936π

                                     = 6082.12 square feet

Cost of pavement = $0.70 per square feet

Therefore, cost of 6082.12 square feet = 6082.12 × 0.70

                                                                 = 4257.49

                                                                 ≈ $4257

Cost to pave the road = $4257                                    

A three-dimensional object's measurement(s) include which of the following?
Check all that apply.
A. Width
B. Length
C. Height
D. None of these

Answers

A B C are the right answers

Answer:

A.

B.

C.

Step-by-step explanation:

all three are used in 3 dimensional objects hence the name 3 dimensions.

I need help on this please answer all three of them median range and mode

Answers

Answer:

1. median :- 8

2. mean :- 40

3. mode. :- 7

Step-by-step explanation:

❣️(◍Jess bregoli◍)❣️

#keep learning!!

If A = {x, y, z} then the number of non-empty subsets of A is ________.

a) 8 b) 5 c) 6 d) 7​

Answers

Answer:

(d) 7

Step-by-step explanation:

The total number of subsets that can be derived from a set with n elements is given by;

2ⁿ

Out of these subsets, there is one empty set. Therefore, the total number of non-empty subsets is given by;

2ⁿ - 1

Given:

A = {x, y, z}

Set A has 3 elements. This means that n = 3

Therefore, the total number of subsets that can be derived from set A is

2ⁿ = 2³ = 8

One of these 8 subsets is an empty set, therefore, the total number of non-empty subsets of A is;

2ⁿ - 1 = 2³ - 1

8 - 1 = 7

This can be checked by writing all the possible subsets of A as follows;

{x}

{y}

{z}

{x, y}

{y, z}

{x, z}

{x, y, z}

Removing the empty set ∅, the non-empty subsets of A are;

{x}

{y}

{z}

{x, y}

{y, z}

{x, z}

{x, y, z}

I WILL MARK BRAINLIEST PLEASE HELP! This graph represents f(x), and g(x) = -7x + 8.



Which statement about these functions is true?

A.
Function f(x) is increasing, and g(x) is decreasing.
B.
Function f(x) is decreasing, and g(x) is increasing.
C.
Functions f(x) and g(x) are both decreasing.
D.
Functions f(x) and g(x) are both increasing.

Answers

Answer:

A

Step-by-step explanation:

ITS OPTION (A)

PLZ MARK ME BRAINLIEST..

Least to greatest 22,755 20,564 2,3805

Answers

Least to greatest: 20,564 22,755 2,3805

Which of the following is equivalent to (2a + a)(3b + 1)?

Tip: Simplify the expression on the left first, and then use the distributive property.

2a + 3ab + a
3a + 3b + 1
3a(3b + 3)
9ab + 3a

Answers

Answer:

9ab+3a

Step-by-step explanation:

(2a+a)(3b+1)=(3a)(3b+1)

3a(3b+1)

=(3a×3b)+3a×1

=9ab+3a





Which expression has a value of 15 when it equals
2
49-57
3--5
61-28
28
19

Answers

Answer:

it is 61-28 but I not sure u can scan for any application to make sure u get it ur answer thx for

Factorize : 4(x+y)^2 -9(x-y)^2​

Answers

Answer:

Step-by-step explanation:

[tex]4(x+y)^{2} - 9(x-y)^{2}=4[x^{2}+2xy+y^{2}]-9[x^{2}-2xy+y^{2}]\\\\=4x^{2}+4*2xy + 4y^{2}-9x^{2}-2xy*(-9)+y^{2}*(-9)\\\\= 4x^{2}+8xy+4y^{2}-9x^{2}+18xy-9y^{2}\\\\= 4x^{2}-9x^{2} + 8xy + 18xy +4y^{2} - 9y^{2}\\\\= -5x^{2} + 26xy - 5y^{2}[/tex]

= -5x² + 25xy + xy - 5y²

= 5x(-x + 5y) - y(-x +5y)

= (-x + 5y)(5x - y)

At that rate, about how many gallons of milk will they need to purchase in a year’s time?

Give your answer as a whole number.

Answers

Answer: 260 gallons

Step-by-step explanation:

We can use a proportion to solve this problem. We know that a family used 15 gallons of milk every 3 weeks. Since the problem asks for how much they will need for a year, we can gather that a year is 52 weeks. We can come up with the following proportion.

[tex]\frac{15}{3} =\frac{x}{52}[/tex]          [cross multiply]

[tex]3x=780[/tex]       [divide both sides by 3]

[tex]x=260[/tex]

Therefore, they will need to purchare 260 gallons.

Find the equivalent exponential expression.
(543

Answers

Answer:

(5) we have multiple the powers

Pls help quick. (Geomery question)

Given that m∠abc=70° and m∠bcd=110°. Is it possible (consider all cases): Line AB intersects line CD?

Answers

Answer:

Given that m∠abc=70° and m∠bcd=110°. Is it possible (consider all cases): Line AB intersects line CD?

yes

Step-by-step explanation:

#CarryOnLearning

Isch is taking a class where people say that everyone fails the first exam; however, he got a 93%. Instead of being proud, he thought, It must have been a fluke. Based on this, what can you conclude about Isch

Answers

Answer:

is a smart guy and also don't want others to hate him

Find the perimeter of a rectangular tile with length 1/5ft and width 3/14ft

Answers

Answer:

[tex]\frac{29}{35}[/tex] ft (29/35 ft)

Step-by-step explanation:

1. LCD

Perimeter: [tex]2w+2l[/tex]

[tex]2(\frac{1}{5})+2(\frac{3}{14})=\frac{2}{5} +\frac{6}{14}[/tex]

Since [tex]\frac{6}{14} = \frac{3}{7}[/tex], the LCD would be 35

2. Solving

New equation: [tex]\frac{14}{35} +\frac{15}{35} =\frac{29}{35}[/tex]

[tex]\frac{29}{35}[/tex]

Hope this helped! Please mark brainliest :)

Suppose 46% of politicians are lawyers. If a random sample of size 662 is selected, what is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 4%

Answers

Answer:

0.9606 = 96.06% probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 4%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Suppose 46% of politicians are lawyers.

This means that [tex]p = 0.46[/tex]

Sample of size 662

This means that [tex]n = 662[/tex]

Mean and standard deviation:

[tex]\mu = p = 0.46[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.46*0.54}{662}} = 0.0194[/tex]

What is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 4%?

p-value of Z when X = 0.46 + 0.04 = 0.5 subtracted by the p-value of Z when X = 0.46 - 0.04 = 0.42. So

X = 0.5

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

By the Central Limit Theorem

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

[tex]Z = \frac{0.5 - 0.46}{0.0194}[/tex]

[tex]Z = 2.06[/tex]

[tex]Z = 2.06[/tex] has a p-value of 0.9803

X = 0.42

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

[tex]Z = \frac{0.42 - 0.46}{0.0194}[/tex]

[tex]Z = -2.06[/tex]

[tex]Z = -2.06[/tex] has a p-value of 0.0197

0.9803 - 0.0197 = 0.9606

0.9606 = 96.06% probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 4%

You are traveling from Earth towards the space station at a speed of 1250 km per hour. Your friend is traveling from the space station to Earth at a speed of 500 km per hour. If both of you meet on the way after 20 hours, what is the distance between Earth and the space station?

Answers

Answer:

d=35000Km

Step-by-step explanation:

After 20h I traveled for

s1=1250*20=25000Km

My friend

s2=500*20=10000Km

Therefore d=25000+10000=35000Km

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x + 2y when x = 1 and y = 4 Aaron's rear bicycle tire has too much air he removes 8 pounds of air so that his tire gauge now reads 53 pounds. How many pounds did he begin with? Use the equation p - 8 = 53 Dan invests 13000 into his bank account. He receives 2.3% per year simple interest. How much will Dan have after 4 years? Give your answer to the nearest penny where appropriate. Math each kind of writing to the cort category / personal writing/ business writing/ academic writing answers to choose from blog post diary entries citing sources, company newsletters, business proposal, social media posts, office memos, research paper persu A.109 B.87C.98D.69 What kind of spider is deathly? (ECON) If the vaule of the goods and services a country produces decreases while its population stays the same, which statement is true. The two of the most Significant concerns related to these injuries as it refers to the three types of burns and give an example of your own experience with the burn and your thoughts of the why it hurt so much and it's healing process what conclusions can you draw about the field of psychology in the united states from the years 1983 to 1991? A flat coil of wire is placed in a uniform magnetic field that is in the y-direction.The magnetic flux through the coil is maximum if the coil is:_________.(a) in the XY plane(b) in either the XY or the YZ plane(c) in the XZ plane(d) in any orientation, because it is constant. I NEED HELP OR I WILL BE PUNISH (GOD RELATED) What scroll (book) did Jesus read in the synagogueAND QUESTION 2 IS did the people want to throw Jesus off the cliff? I NEED AN EASY EXPLANATIONPLEASE HELP Which narrative technique would improve the development of this passage? Which adjective completes this sentence: Pjaro ____, qu ves all?rojarojosrojasrojo Pesticides are: Group of answer choices Always highly toxic to humans All of the listed answers All synthetic chemicals Always the best weapon against insect pests None of the listed answers write 3 ideas you have about "what type of government does your school have?" PLEASE HELP DUE IN 1 HOUR I WILL GIVE BRAINLIST Write a sentence in which you show something negative in yourself or in others; however, the sentence must finish by showing that out of something bad can comeExample: Taking a bus to Square One can require twice as much time as taking a car,But at least its cheaper than having to own and maintain our own vehicle. Baskin's pretax accounting income in Year 2 is $100,000. Baskin received cash rental payments in advance for $20,000 in Year 1 and $30,000 in Year 2, which are taxed in the year of receipt. It is expected the rent will be recognized for financial reporting purposes as $25,000 in Year 3 and $25,000 in Year 4. The income tax rate is 40%. What is Baskin's tax basis for rental revenues in Year 2 A 1500 kg car traveling at 20 m/s suddenly runs out of gas while approaching the valley shown in the figure. The alert driver immediately puts the car in neutral so that it will roll.What will be the cars speed as it coasts into the gas station on the other side of the valley? Micheal is selling lemonade.He sold 6 large lemonades at $3 each and 5 small lemonades at $2 each. How much money did he earn ? (-2x+1) (2x^2-1/3x+2)