In the figure below, what is the value of xº?

In The Figure Below, What Is The Value Of X?

Answers

Answer 1

Answer:

\( \boxed{\sf x \degree = 62 \degree} \)

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

\( \sf \implies x \degree + 38 \degree = 100 \degree \\ \\ \sf \implies x \degree + (38 \degree - 38 \degree) = 100 \degree - 38 \degree \\ \\ \sf \implies x \degree = 100 \degree - 38 \degree \\ \\ \sf \implies x \degree = 62 \degree\)

Answer 2

In the given figure, the value of x is 62°.

What is angle ?

An angle is the formed when two straight lines meet at one point, it is denoted by θ.

The given angles are,

x°, 38° and 100°.

To find the value of angle x, use exterior angle property.

According to exterior angle property,

The  sum of two interior angles is equal to exterior angle.

Since, 100° is the exterior angle of x and 38.

x + 38 = 100

x = 100 - 38

x = 62.

The required value of angle x is 62°.

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Related Questions

the list price of a fan is Rupees 1500 If the shopkeeper allows 20% is ground how much to the customer pay for it with a 10% vat​

Answers

Answer:

450

Step-by-step explanation:

First we have to find the discount

20% of 1500 = 300

if you search up 20 x 1500/100, it would say 300

you can do that same equation in your maths book, and also by canceling out

10% vat tax

so 10% of 1500 = 150

since it is tax, we have to add it to our discount

300 + 150 = 450

450 is the answer

18. An automotive plant makes the Quartz and the Pacer. The plant has a maximum production capacity of 1200 cars per week, and they can make at most 600 Quartz cars and 800 Pacers each week. If the profit on a Quartz is $500 and the profit on a Pacer is $800, find how many of each type of car the plant should produce. Quartz PacersWhat is the maximum profit? $

Answers

First,

Let x be the Quartz and let y be the Pacer.

We can write:

x+y≤1200 ( maximum production capacity of 1200 cars per week)

We also know that:

0≤x≤600

0≤y≤800

And, the profit is given by the expression: 500x+800y

At a point, we got that : x=0 and y=800. So, if we replace this:

Profit=500x+800y ⇒ 500(0) + 800(800)= 640000

When x=600(max), y=0:

profit = 500(600) + 0 = 300000

Using (x,y) = (600,600):

Profit = 500(600)+800(600)= 780000

And, if we make x=400 and y=800:

Profit =500(400)+800(800) = 840000. This is the maximum profit, and it occurs when Quartz = 400 and Pacers = 800.

The price of an item has risen to $186 today. Yesterday it was $120 find the percentage increase

Answers

Answer:

55%

Step-by-step explanation:

180-120=66

66/120 = 0.55

55%

A line passes through the point (3, 6) and is parallel to 6x +2y = 4. What is the equation of
the line?

Answers

similar to your question hope it will helpful for you

A line passes through the point (3, 6) and is parallel to 6x +2y = 4. What is the equation ofthe line?

use the two given vectors to answer the following questions

u=3i-2j and v=7i +5j

convert the vectors into component form
find the angle formed between the two vectors

Answers

Answer:

convert into components:

u=3i-2j  

v=7i+5j

Step-by-step explanation:

so now we starting the question by multiplying to both vectors.

u*v  = (3i * 7i) - (2j * 5j)

since i^2=1 and j^2=1

so,

u*v = 21 - 10

u*v = 11

i'm pretty sure!

Thank you!

consider the function y=-2-cos(x-pi). What effect does pi have on the basic graph?

Answers

Using translation concepts, it is found that pi is the phase shift of the graph, and since it is negative, the graph is shifted right pi units.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, the change is given as follows:

x -> x - pi

It means that the change is in the domain, in which pi is the phase shift of the graph, and since it is negative, the graph is shifted right pi units.

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Please help I’m really stuck on this

Please help Im really stuck on this

Answers

Answer:

120

Step-by-step explanation:

Above 44 years ----> 45 to 84.

44 - 64   range 70 are there

65 to 84 range 50 are there

Totally 70 + 50 = 120

 120 residents

Which number is 150 more than 689?

Answers

839

689 + 150 is 839

Answer:

839

Step-by-step explanation:

689+150=839

Hope this helped!

A) what slope does this line have?
B) what is the slope of the line?
C) what is the y- intercept of the line?
D) what is the equation of the line?

A) what slope does this line have? B) what is the slope of the line? C) what is the y- intercept of the

Answers

Answer:

The slope is a positive linear slope

The slope is 2

The y-intercept is -4

The equation of this line would be: y = 2x - 4

Step-by-step explanation:

y = mx + b format

m = slope

b = y-intercept

and x and y are the x and y components

What equation models the points on the graph

What equation models the points on the graph

Answers

Here you go! Hope this helps
What equation models the points on the graph
Y=7x+10 or answer b is correct. This is correct because 10 indicates the y intercept and 7 indicates the slope of the graph shown because the equation is in slope intercept form.

Assuming that a 330-foot tall giant redwood grows vertically, if I walk a certain distance from the
tree and measure the angle of elevation to the top of the tree to be 69°, how far from the base of the
tree am I?
Round your answer to four decimal places.
I am about Number
feet away from the base of the tree.

Answers

9514 1404 393

Answer:

  126.6751 feet

Step-by-step explanation:

The tangent relation can be helpful.

  Tan = Opposite/Adjacent

  tan(69°) = (330 ft)/(distance to base)

  distance to base = (330 ft)/tan(69°) ≈ 126.6751 ft

_____

Comment on precision

It would make more sense to round to 4 significant figures. The value of a unit in the fourth decimal place is 0.0001 feet = 0.0012 inches, somewhat less than the thickness of a human hair. We know of no technology that will make a measurement of that distance to that accuracy.

4. Approximate the solution to this system of equations.
y = -2x+6
y = 4x - 1

Answers

The solution of the system of linear equations, is (1.167, 3.667).

Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,

y = -2x+6............(i)

y = 4x - 1.......(ii)

Equating the equations since the LHS is same,

-2x+6 = 4x-1

6x = 7

x = 1.167

Put x = 1.16 to find the value of y,

y = 4(1.16)-1

y = 4.66-1

y = 3.667

Therefore, the solution of the system of linear equations, is (1.167, 3.667).

You can also find the solution using the graphical method,

Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]

Hence, the solution of the system of linear equations, is (1.167, 3.667).

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4. Approximate the solution to this system of equations.y = -2x+6y = 4x - 1

Can someone help me with Writing equations of lines

Can someone help me with Writing equations of lines

Answers

Answer:

y=-1/5x-1

Step-by-step explanation:

given two points (10, -3) and (5, -2) y intercept at -1

There are different ways. One of them:

Slope: -2-(-3)/5-10=-1/5

y=mx+b

m-slope -1/5

b y-intercept (-1)

y=-1/5x-1

You are interested in finding a 95% confidence interval for the mean number of visits for physical therapy patients. The data below show the number of visits for 11 randomly selected physical therapy patients. Round answers to 3 decimal places where possible.


13 5 10 11 26 20 18 18 24 23 5
a. To compute the confidence interval use a
t
Correct distribution.

b. With 95% confidence the population mean number of visits per physical therapy patient is between
and
visits.

c. If many groups of 11 randomly selected physical therapy patients are studied, then a different confidence interval would be produced from each group. About
percent of these confidence intervals will contain the true population mean number of visits per patient and about
percent will not contain the true population mean number of visits per patient.

You are interested in finding a 95% confidence interval for the mean number of visits for physical therapy

Answers

For finding a 95% confidence interval:

a. To compute the confidence interval, use a t distribution with 10 degrees of freedom.b. With 95% confidence, the population mean number of visits per physical therapy patient is between 13.011 and 19.249 visits.c. About 95% of these confidence intervals will contain the true population mean number of visits per patient and about 5% will not contain the true population mean number of visits per patient.

How to solve confidence interval?

a) The sample mean is x = 16.13.

The sample standard deviation is s = 6.948.

The degrees of freedom are df = 10.

The critical value of t for a 95% confidence interval is t = 2.228.

The margin of error is ME = t × s/√n = 2.228(6.948)/√11 = 4.263.

The 95% confidence interval is x ± ME = 16.13 ± 4.263 = (11.867, 20.393).

b) The 95% confidence interval is (11.867, 20.393).

This means that we are 95% confident that the true population mean number of visits per physical therapy patient is between 11.867 and 20.393 visits.

c) This is because the confidence interval is a range of values that is likely to contain the true population mean. If many samples of the same size are taken from the same population, then about 95% of the confidence intervals from these samples will contain the true population mean.

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1/2, 2/3, 1/4, 5/6 order from least to greatest

Answers

1/4, 1/2, 2/3, 5/6

you’re welcome :))

A 3. One-third of which number must be subtracted 7 24 from to give ? 11 55 Tumbers are such that the ratio between​

A 3. One-third of which number must be subtracted 7 24 from to give ? 11 55 Tumbers are such that the

Answers

Let number be x

ATQ

\(\\ \bull\longmapsto \dfrac{7}{11}-\dfrac{x}{3}=\dfrac{24}{55}\)

\(\\ \bull\longmapsto \dfrac{7}{11}-\dfrac{24}{55}=\dfrac{x}{3}\)

\(\\ \bull\longmapsto \dfrac{35-24}{55}=\dfrac{x}{3}\)

\(\\ \bull\longmapsto \dfrac{11}{55}=\dfrac{x}{3}\)

\(\\ \bull\longmapsto \dfrac{1}{5}=\dfrac{x}{3}\)

\(\\ \bull\longmapsto 5x=3\)

\(\\ \bull\longmapsto x=\dfrac{3}{5}\)

Step-by-step explanation:

hope it's helpful for you

pls mark above guy ans as brainliest

A 3. One-third of which number must be subtracted 7 24 from to give ? 11 55 Tumbers are such that the

What is the median for the set of data shown below 45 23 16 78 24

Answers

Mean -37.2
Median -24
Mode 45, 23, 16, 78, 24

The box plots represent the birth weights, in pounds, of
babies born full term at a hospital during one week.
Female Birth Weight
Complete the statements to compare the weights of
female babies with the weights of male babies.
The median female birth weight is
the
median male birth weight.
The range of female birth weight is
the
range of male birth weight.
Which birth weight measure is the same for both
genders?
5
6
7
8
9
10
11
Male Birth Weight

Answers

Answer:

Step-by-step explanation:

The median female *less than*

The range of female*less than*

Which birth weight:*minimum*

Answer:

The median female birth weight is

✔ less than

the median male birth weight.

The range of female birth weight is

✔ less than

the range of male birth weight.

Which birth weight measure is the same for both genders?

✔ minimum

Rafael's chocolate bar is 37% cocoa. If the weight of the chocolate bar is 96 grams, how may grams of cocoa does it contain? Round your answer to the nearest tenth.

Answers

You can use the weight of the chocolate bar given and find its 37% to get the weight of cocoa used in it.

The weight of cocoa in the given chocolate bar is 35.52 grams.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

Since weight of cocoa = 37% percent of chocolate bar's weight which is 96 gram,

Thus,

\(weight\) \(of\) \(cocoa=\frac{37}{100}\) × \(96=35.52\)

Thus,

The weight of cocoa in the given chocolate bar is 35.52 grams.

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x^4+2x^3-12x^2+14x-5 > 0

Answers

The value of x is (-∞, -5) ∪ (1, ∞).

Given is a polynomial, \(x^4+2x^3-12x^2+14x-5 > 0\),

Solving for x,

Factors =

\(x^4+2x^3-12x^2+14x-5\\ \\= \quad \left(x-1\right)^3\left(x+5\right)\)

Therefore,

\(\left(x-1\right)^3\left(x+5\right) > 0\)

\(x < -5\quad \mathrm{or}\quad \:x > 1\)

Hence the value of x is (-∞, -5) ∪ (1, ∞).

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HELP ME!! whats the answer? no goofing around pleaze

HELP ME!! whats the answer? no goofing around pleaze

Answers

Answer: A

Step-by-step explanation:

\(\frac{6.3\cdot \:10^8}{9\cdot \:10^2}\)

\(=\frac{6.3\cdot \:10^6}{9}\) --> Exponent rule for division, 10^8/10^2 = 10^6

= 700,000 --> In scientific notation, 7.0×10^5

Which equation gives the sum of...
S=0.2/1-8
S=1/8-0.2
S=8/0.2-1
S=8/1-0.2

Which equation gives the sum of...S=0.2/1-8S=1/8-0.2S=8/0.2-1S=8/1-0.2

Answers

Answer:

Option D

S=8/1-.2

Step-by-step explanation:

Edg

The sum of the sequence will be S = 8 / (1 – 0.2). Then the correct option is D.

What is the sum of the geometric series?

Let a be the first term and r be the common ratio. Then the sum of the geometric series will be

S = a / (1 – r) if r < 1

S = a / (r – 1) if r > 1

The sum of \(\rm \Sigma_{n = 1}^{\infty} 8(0.2)^{n - 1}\).

Then the first term of the geometric sequence will be 8.

And the common difference between the successive terms will be 0.2.

The common ratio less than one, then the formula for the sum will be given as

S = a / (1 – r) if r < 1

Then the sum of the sequence till infinity will be

S = 8 / (1 – 0.2)

S = 8 / 0.8

S = 10

Thus, the sum of the sequence will be S = 8 / (1 – 0.2).

Then the correct option is D.

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Bob did chores for his neighbor. The first day he earned $8. Then he earned $10 a day for
two weeks. If he took one day off each week, how much did he earn?

Answers

Answer: $128

Step-by-step explanation: So first Bob earned 8 dollars. Then he started earning 10 dollars a day every week for 2 weeks. that would have been 148 dollars (plus the 8 dollars he earned in the beginning), but he took a break once a week, subtracting 20 dollars from his pay, giving him 128 dollars in total.

Let me know if this was helpful! :D

If you draw one card at random, what is the probability that card is a (n) Heart?

Answers

Answer:

1/13

Step-by-step explanation:

There are 52 cards in a deck of cards and 13 of them are hears

P(heart) = hearts / total

              = 13/52 = 1/13

1. Find extrema and intervals of increasing and decreasing the function
\(y = \frac{ {e }^ { - (x + 2)} }{x + 2} \)
2. Find inflection points and intervals of concavity and convexity of the function:
\(y = \frac{2x - 1}{(x - 1) ^{2} } \)

Answers

The function y = (e⁻⁽ˣ⁺²⁾) / x + 2  increases along intervals of (-∞, 3) and decreases along (-3, -2), (-2, ∞) and the function y = 2x - 1 / (x - 1)² has no inflection points but  concave downwards along (-∞, 1) ∪ (1 ,∞)

Extrema and Intervals of a Function

An extremum (or extreme value) of a function is a point at which a maximum or minimum value of the function is obtained in some interval. A local extremum (or relative extremum) of a function is the point at which a maximum or minimum value of the function in some open interval containing the point is obtained.

The function given;

y = (e⁻⁽ˣ⁺²⁾) / x + 2

The extrema and intervals of increase or decrease of this function are

(-1, 1.63) and it increases along (-∞, 3) and decreases along (-3, -2), (-2, ∞)

2. The inflection points and intervals of concavity and convexity of the function

y = 2x - 1 / (x - 1)² are

The function has no inflection pointsIt's concave downwards along (-∞, 1) ∪ (1 ,∞)

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) Quantifier negation.
Form the negation of the following statements. Then apply De Morgan’s law and/or conditional law, when
applicable. Negation should appear only within predicates, i.e., no negation should be outside a quantifier
or an expression involving logical connectives. Show all steps.
a) ∀x (P(x) ∧ R(x))
b) ∀y∃z(¬P(y) → Q(z))
c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

Answers

The negations of the given statements with the application of De Morgan's law and/or conditional law.

a) ∃x (¬P(x) ∨ ¬R(x))

De Morgan's law:

∃y ∀z(¬P(y) ∧ ¬Q(z))

b) ∃y ∀z(¬P(y) ∧ ¬Q(z))

The double negation:

∃y ¬∃z(P(y) ∨ Q(z))

c) ¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

The conditional law:

¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

Let's form the negation of the given statements and apply De Morgan's law and/or conditional law, when applicable:

a) ∀x (P(x) ∧ R(x))

The negation of this statement is:

∃x ¬(P(x) ∧ R(x))

Now let's apply De Morgan's law:

∃x (¬P(x) ∨ ¬R(x))

b) ∀y∃z(¬P(y) → Q(z))

The negation of this statement is:

∃y ¬∃z(¬P(y) → Q(z))

Using the conditional law, we can rewrite the negation as:

∃y ¬∃z(¬¬P(y) ∨ Q(z))

c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

The negation of this statement is:

¬∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

Using the conditional law, we can rewrite the negation as:

¬∃x (P(x) ∨ (∀z (R(z) ∨ ¬Q(z))))

Applying De Morgan's law:

¬∃x (P(x) ∨ (∀z ¬(¬R(z) ∧ Q(z))))

Simplifying the double negation:

¬∃x (P(x) ∨ (∀z ¬(R(z) ∧ Q(z))))

Using De Morgan's law again:

¬∃x (P(x) ∨ (∀z (¬R(z) ∨ ¬Q(z))))

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What is the area of the rectangle?
6 units
9 units
square units

Answers

Answer: 54 square units

Step-by-step explanation: 6x9=54

Answer:

6*9=54

Step-by-step explanation:

when you find the area of a rectangle you should multiply two different sides of the rectangle

9. Find the volume of a cone with a radius of 10 mm and a height of 6 mm.

O 628 mm³
O 600 mm³
O 1,884 mm 3
O 1,254 mm

Answers

Answer:

Step-by-step explanation:

The formula for the volume of a cone is:

V = (1/3)πr^2h

where V is the volume of the cone, r is the radius of the base, and h is the height of the cone.

Substituting the given values, we have:

V = (1/3)π(10 mm)^2(6 mm)

V = (1/3)π(100 mm^2)(6 mm)

V = (1/3)π(600 mm^3)

V = 200π mm^3

Using a calculator to approximate π to 3.14, we get:

V ≈ 628.32 mm^3

Therefore, the answer is O 628 mm³.

the see turtle population is modeled by equation p=400 x 5/4 power y

Answers

The value of p is 781.25.

What is a population growth?

Population Growth is defined as the increase in the number of individuals in a population is called population growth.

What is a common growth factor?

The growth factor is the ratio between the old price and the new price, once sales tax is included.

We want to know the population when y = 0, or when the number of years is zero.

Substitute the same in the equation

p = (400).\((\frac{5}{4} )^{y}\)

When y = 1 or at the 1st year, the population will be p = (400)(\(\frac{5}{4}\) ) = 500

This means that the population is increasing by a common growth factor of \((\frac{5}{4})\) .

When y = 3, or at year 3 we get the population as p = 400  \((\frac{5}{4} )^{3}\)

                                                                                      = 781.25

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High school students from grades 9–10 and 11–12 were asked to choose the kind of band to have play at a school dance: rap, rock, or country.

Their choices were as follows:
Grades 9–10—Rap: 40; Rock: 30; Country: 55
Grades 11–12—Rap: 60; Rock: 25; Country: 35

Which of the following is a correct two-way frequency table for the data?

Answers

The correct two - way frequency table for the data on High School Students, and the kind of band they want to play at the school dance, is:

                                                     Rap          Rock           Country      Total

Grades 9 - 10                                40              30                55              125

Grades 11 - 12                                60              25                35              120

Total                                              100              55                90             245

Option A is therefore correct.

How to construct a two-way frequency table ?

In a two-way frequency table, there will be totals for both the rows and the columns.

The totals for the rows in this instance are:

Grade 9 - 10 totals :

= 40 + 30 + 55

= 125

Grade 11 - 12 :

= 60 + 25 + 35

= 120

The totals for the columns are:

Rap totals :

= 40 + 60

= 100

Rock :

= 30 + 25

= 55

Country :
= 55 + 35

= 90

Two-way frequency tables allow for us to be able to conclude on the event described by looking at totals from both the columns and the rows. This gives a clearly understanding on preferences and categories.

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High school students from grades 910 and 1112 were asked to choose the kind of band to have play at a
Other Questions
convert unit rate 12yd/min = ft/s if all possible samples of size n are drawn from an infinite population with a mean of 36 and a standard deviation of 22, then the standard error of the sample mean equals 2 for samples of size: If you subtract 13 from an even number, the answer will be odd.A. TrueB. False what is the spacetime coordinate x of the collision in earth's reference frame? Recessive traits are A.Traits that everyone wants B. Traits that are shown over other traits C. Traits that are hidden by other traits D. Traits that no one wants calculate the force of gravity in newtons, between the earth and a 70 kg huma standing on the surfac Write a grammatically correct sentence that compares the reactants and products of photosynthesis with the reactants and products of respiration. What effect does the Sun have on the ocean tides?A.The Sun does not have an effect on the ocean tides because it istoo far away.B. The Sun warms the water, causing it to rise.C. The gravitational pull of the Sun causes spring and neap tides.D.the gravitational pull of the sun gravity is more powerful then the moons Pls help me with this math problem Differentiate between isotopes and isotones why gps tracking on cell phones should be left on this problem refers to questions 1, 2 and 3.two students 1 and 2 are holding a long spring made of two springs a and b connected at point j (see figure). student 2 creates a pulse having a displacement only on one side of the spring (either y > 0 or y < 0). some time later (not necessarily at the same time), the students receive pulses that are on the same side of the spring (i.e. if student 1 receives a pulse with y > 0, then student 2 receives a pulse with y > 0). Things about South Africa? true or false minimum wage is an example of a price floor if minimum wage laws are enforced there is in the market minimum wage is an example of a price floor what is the effect on the graph of the function f(x)=5x when f(x) is replaced with f(x)-8?A. translate vertically 8 units upB. translate vertically 8 units downC. translate horizontally 8 units left D.translate horizontally 8 units right Government powers that exist at both the national and state levels of government are called "concurrent powers". Which of these is an example of concurrent power?a. Collected taxesb. Regulated state trade.c. Coining and printing money Could someone help plz Which of the following best describes sentence 5 in the paragraph below?In the 1940s, jazz underwent a major change. Players began to include morenotes in their harmonic palette. For the most part, earlier players had stuck tothe major and pentatonic scales in their improvisation and accompaniment.The younger bop players added flats and raised fifths, ninths, elevenths, andthirteenths. The sound was so new that one old-guard musician, none otherthan Cab Calloway, referred to it derogatorily as "Chinese music."A. Supporting evidenceB. Concluding sentenceC. Topic sentenceD. Thesis statement What does this caricature represent ? Which value is equivalent to4