Find the value of unknown​

 Find The Value Of Unknown

Answers

Answer 1

The value of x is 52° and the value of y is 104 ° as calculated using the chord properties of a circle.

A circle is defined as the locus of a moving point such that the distance of the point from a fixed point is always same.

A chord is a straight line joining any two points on a circle.The diameter is the largest chord.The angle subtended by the diameter at the center is always 90° .

In the given figure AC is the diameter of the circle.

We know that the  angle subtended by the chord is always 90°.

∴∠CBA = 90°

Now in ΔABC

∠ABC+∠BCA+ ∠CAB =180° (sum of all angles of a triangle is always 180°)

or, 90° + 38° + x° = 180°

or, 128° + x° =180°

or, x = 52°

Again in ΔDBC ,

DB=DC (radius of the circle)

∴∠DCB = ∠DBC (base angles of an isosceles triangles are equal)

∴∠DBC = 38°

Again in ΔDBC

∠DBC+∠BCD+ ∠CDB = 180° (sum of all angles of a triangle is always 180°)

or, y =  180° - 76°

or, y = 104°

Therefore the value of x is 52° and the value of y is 104 ° .

To learn more about circle visit:

https://brainly.com/question/23247585

#SPJ9


Related Questions

7) 6003-457 =
How to solve this equation and borrow

Answers

Answer:

6003-457= 5546

Step-by-step explanation:

because when is second 603 - 457 when you subtract 7 from 3 it can't be possible so here is very tools so we will say so you go and borrow one from the 6 today's 0 nearest sex making it 10 and you borrow long from the time we

graph y=16-8x. .............​

Answers

Answer: graph 'y=16-8x'

Step-by-step explanation:

First, alter the equation by making it a 'y=...' statement (y=-8x+16).

Secondly, plot your first point at positive 16.

Third, make sure that your slope is going down 8 from positive 16, so you plot your second point at positive 8, and move that second point to the right by 1.

Let me know if this helps!

How i can do , somebody can explain step for step please ;(

Answers

[tex]\left( \cfrac{-5x^2}{y^3} \right)^{\underline{2}}\implies \left( \cfrac{(-5)^{\underline{2}}x^{2\cdot \underline{2}}}{y^{3\cdot \underline{2}}} \right)\implies \cfrac{(-5)(-5)x^4}{y^6}\implies \cfrac{25 x^4}{y^6}[/tex]

If a company decides to hire more employees, then its
a. total variable cost and total cost will increase, but its total fixed cost will not change.
b. total fixed cost will increase, its total variable cost will decrease, and thus its total cost will not change.
c. total cost will increase, and its total fixed cost and total variable cost will decrease.
d. total cost will increase and total fixed cost will decrease, thus its total variable cost will not change.

Answers

If a company decides to hire more employees, then its:(a).total variable cost and total cost will increase, but its total fixed cost will not change

What is the behavior of fixed and variable costs?

The fixed cost remains the same over a reasonable range of output whereas the variable cost is the cost that increases as output increases, such as the cost of raw materials, the more output produced, more materials would be needed.

In short, the variable increase would make the total cost, the sum of fixed cost and variable cost, to increase, so hiring more employees, would increase variable cost and total cost only.

Find out more about  cost behavior on:https://brainly.com/question/16749519

#SPJ1

Find the slope-intercept form of the line that is perpendicular to −2x+6y=−1 and passes through the point (−2,4)

Answers

The equation of line that is perpendicular to the given equation and passes through the given point is y = -3x - 2.


What is the equation of line that is perpendicular to −2x+6y=−1 and passes through the point (−2,4)?

Given the equation of line and point;

−2x + 6y = −1(-2,4)

First, find the slope intercept form ( y = mx + b )of the given equation to determine the slope.

−2x + 6y = −1

Solve for y

6y = 2x - 1

y = (2/6)x - 1/6

y = (1/3)x - 1/6

Hence, the slope m =  1/3

Now, the equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.

Slope of the perpendicular will be;

m_perpendicular = -3

Next, find the equation of the perpendicular line using the point slope formula y - y₁ = m( x - x₁ ).

Plug in the slope m = -3 and the point (-2,4).

y - y₁ = m( x - x₁ )

y - 4 = -3( x - (-2) )

y - 4 = -3( x + 2 )

y - 4 = -3x - 6

y = -3x - 6 + 4

y = -3x - 2

Therefore, the equation of line that is perpendicular to the given equation and passes through the given point is y = -3x - 2.

Learn about slope-intercept formula here: https://brainly.com/question/384497

#SPJ1

Residents of city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 2. If there were 1748 no votes, what was the total number of votes

Answers

4370
If the ratio is 3:2 then it is equivalent to 2622:1748. 2622+1748=4370

TASK CARD 17
Half of a number increased by six is
15. What is the number?

Answers

The number is 18

Let x be the number

Half of a number = x/2

Half of a number is increased by 6 = x/2 + 6

Half of a number increased by 6 is 15 = x/2 + 6 = 15

Algebra: The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division.

Solving the equation we get:

= (x + 12)/2 = 15

= x + 12 = 30

x = 18

Hence, the number is 18

Learn more about algebra:

https://brainly.com/question/24875240

#SPJ9

factorizar por el método de diferencia de cuadrado.​

Answers

Answer:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "q2" was replaced by "q^2". 1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

(9 • (p2)) - (23•5q2)

STEP

2

:

Equation at the end of step

2

:

32p2 - (23•5q2)

STEP

3

:

Trying to factor as a Difference of Squares:

3.1 Factoring: 9p2-40q2

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3

Check : 40 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Pls help ASAP!!

Which expression is equivalent to −3(4x + 3y)?
A: 3y(4x − 3)
B: 4x(−3 + 3y)
C: −12x + 3y
D: −12x − 9y

Answers

Answer:

d

Step-by-step explanation:


If Rachel were to paint her living room alone, it would take 2 hours. Her sister Fran could do the job in 5 hours. How many hours would it take them working together?
Express your answer as a fraction reduced to lowest terms, if needed.

Answers

Rachel and her sister Fran together can paint the living room in [tex]\frac{10}{7}[/tex] hours

Given that

Rachel can paint half of the living room in 1 hour

Fran can paint [tex]\frac{1}{5}[/tex]th part of the living room in 1 hour

Let's assume together they paint the living room in x hours

⇒ together they can paint [tex]\frac{1}{x}[/tex]th part of the living room in 1 hour

By proportions,

⇒[tex]\frac{1}{2}[/tex]+[tex]\frac{1}{5}[/tex]= [tex]\frac{1}{x}[/tex] {using operation proportions and addition}

⇒[tex]\frac{7}{10}[/tex]=[tex]\frac{1}{x}[/tex]

⇒x=[tex]\frac{10}{7}[/tex]        

⇒ together they can paint [tex]\frac{7}{10}[/tex]th part of the living room in 1 hour

It means, Rachel and her sister Fran together can paint the living room in [tex]\frac{10}{7}[/tex] hours

Learn more about paint here:

https://brainly.com/question/15277377

#SPJ9

Katrina practices violin 4 times per week for 2/3 hour each time.Jeremy practices guitar for 3 times per week for 45 minutes each time.who practices more each week?how much more?

Answers

Katrina practices violin per week more than Jeremy by 25 minutes.

How is the practice time determined?

The practice time can be determined by converting the fractional hours to minutes for each practice so that like is compared to like.

Converting 2/3 hours gives 40 minutes.

Ordinarily, Jeremy spends more time each time than Katrina.  However, Katrina adds an additional practice time, which heightens her total practice time each week.

Data and Calculations:

The number of times that Katrina practices per week = 4 times

The time she practices each time = 2/3 hours or 40 minutes (2/3 x 60)

The total time she practices each week = 160 minutes (40 x 4)

The number of times that Jeremy practices per week = 3 times

The time he practices each time = 45 minutes or 3/4 hours

The total time he practices each week = 135 minutes (45 x 3)

The difference in practice time per week = 25 minutes (160 - 135)

                                                Katrina           Jeremy

Number of practices times         4                      3

Minutes practiced   (2/3 hours) 40 min    45 minutes

Total practice time                   160 min    135 min

Thus, we can conclude that Katrina practices violin per week more than Jeremy by 25 minutes.

Learn more about time conversions at https://brainly.com/question/11947673

#SPJ1

in Zoe's class, 4/5 of the students have pets. Of the students who have pets, 5/8 have rodents. what fraction of the students in Zoe's class have pets that are rodents?

Answers

Answer:

1/2

Step-by-step explanation:

5/8 students of the 4/5 students have rodents. The word "of" tells us to multiply. 5/8 * 4/5 is equal to 5*4/8*5, which is 20/40 and therefore simplifies to 1/2.

A spaceship has a mass of 9000kg. The spaceship is launched from Earth and lands on a distant planet, where it has a gravity of 25 m/s2. What is the weight?

Answers

The weight of the spaceship that has a mass of 9000kg is 22936kg.

How to illustrate the information?

It should be noted that the mass in a body simply means the measure of the quantity if the matter that the body has.

It should be noted that it is also the body of the inertia.

In this case, the spaceship has a mass of 9000kg. The spaceship is launched from Earth and lands on a distant planet, where it has a gravity of 25 m/s². Therefore, the weight will be:

= 9000 /9.81 × 25

= 22936kg

Therefore, the weight of the spaceship that has a mass of 9000kg is 22936kg.

Learn more about mass on:

brainly.com/question/19385703

#SPJ1

Find the slope-intercept form of the line with a slope of 2 and through (1,−7)

Answers

Answer:

y = 2x -9

Step-by-step explanation:

A ball is thrown from a height of 205 feet with an initial downward velocity of 11 ft/s. The ball's height h (in feet) after 1 seconds is given by the following.
h=205-111-161²
How long after the ball is thrown does it hit the ground?

Answers

By free fall motion, the ball will take a time of 3.252 seconds to hit the ground.

How much time does a ball take to hit the ground?

The ball experiments a free fall motion, that is an uniform accelerated motion due to gravity, in which effects from Earth's rotation and air viscosity are neglected. The height of the ball (h), in feet, is modelled by a quadratic equation:

h = 205 - 11 · t - 16 · t²

Where t is the time, in seconds.

If we know that h = 0 ft, then the time needed for the ball to hit the ground is:

205 - 11 · t - 16 · t² = 0

16 · t² + 11 · t - 205 = 0

16 · [t² + (11 / 16) · t - 205 / 16] = 0

16 · (t - 3.252) · (t + 3.940) = 0

For time is a whole number, only the first root offers a reasonable answer.  


To learn more on free fall motion: https://brainly.com/question/13297394

#SPJ1

Bob Ross bought a Blackberry on the Web for $90.49. He saw the same Blackberry in the mall for $120.21. How much did Bob save by buying on the Web?

Note: Round your answer to the nearest cent.

Answers

Answer:

$29.72

Step-by-step explanation:

$120.21-$90.49=$29.72

3. Bryan spent $13.00 of the $25.00 he got for his birthday. What decimal represents the fraction of birthday money Bryan spent?​

Answers

Answer:   0.52

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

Explanation:

Use your calculator to type in either 13/52 or 13 ÷ 52

The calculator should display 0.52 as the answer. The decimal 0.52 converts to 52%

The steps for the long division are shown below.

tbh only answer if you are the user "beinggreat78" I dont trust the rest of yall

Answers

Answer:

hi ik you dont trust me however id like to say that the answer is A. 41.6

Step-by-step explanation:

hope this helps <3 (also i put this into a calculator to double check my work and it was still 41.6)

Answer:

41.6

Step-by-step explanation:

Move the decimal 1 place to the right according to the laws of exponents.

since the exponent is 1, that's why we move it 1 place right. if the exponent was -1, it would go to the left, and the number would become "0.416".

(2,-1)(-3,3) standard form

Answers

ur balls baby girl hahahaah101010 19;8;7,,

If m angle A=5x +29 then what is the smallest integer value of x for which angle A would be classified as obtuse

Answers

The smallest integer value of x for which angle A would be classified as obtuse is 14°

What is an obtuse angle?

An obtuse angle can be defined as an angle that is greater than 90 degrees.

This can be expressed as;

Obtuse angle > x > 90°

Given the angle as A = 5x +29

Let's assume that the value of the obtuse angle is 99 which is greater than 90 degrees.

Now, we have to equate the expression for angle A to 91 degrees.

We have;

5x + 29 = 99

collect like terms

5x = 99 - 29

subtract like terms

5x = 70

To make 'x' the subject, divide both sides by the coefficient of x

5x/5 = 70/5

x = 14°

Thus, the smallest integer value of x for which angle A would be classified as obtuse is 14°

Learn more about obtuse angles here:

https://brainly.com/question/2028172

#SPJ1

At the city museum, child admission is $5.50 and adult admission is $9.60. On Saturday, four times as many adult tickets as child tickets were sold, for a total
sales of $1141.40. How many child tickets were sold that day?
Number of child tickets:0
5

Answers

The number of child tickets sold that day were 26.

Here, we are given that the fees for admission into the museum is as follows-

Child admission = $5.50

Adult admission = $9.60

Let the number of children admitted on Saturday be x

then the number of adults admitted that day = 4x

Now, the total money from sale of children tickets = $5.50x

the total money from sale of adult tickets = $9.6 × 4x = $38.4x

The total money from sale of tickets =  $1141.40

⇒ 5.50x + 38.4x = 1141.40

43.9x = 1141.40

x = 1141.40/ 43.9

x = 26

Thus, the number of child tickets sold that day were 26.

Learn more about linear equations here-

https://brainly.in/question/48534636

#SPJ9

Write the first 5 terms

an= -2n-3​

Answers

Answer:

qfgggghbvvcccvvv kknnbvvvvvvvvvvvbhg

Pls Helppp need it now

Answers

Answer:

down one over two( point on -8 then down one over two

Step-by-step explanation:

this might be the right answer please let me know

At lunch, Noah buys two tacos for $2.35 each, chips and salsa for $1.85, and lemonade for $1.60. To pay for his meal, he uses $5.00 from a gift card he has, and then he pays for the rest with a $20.00 bill. Which equations show how much change Noah receives? Explain you answer I will mark you as the brainlyest

Answers

2.35(2)+1.85+1.60= $8.15 total before gift card

8.15-5.00= $3.15 because the gift card was $5

now you do

20.00-3.15 to get the total change which is $16.85

Thanks hope you see this susususususususususuusususususuusususus

PLEASE PLEASE HELP!
Movies.

Your parents drop you off at the movies and you have $40 to spend. Admission to the movies costs you $14.50 and you buy a drink and popcorn for $7.75. You want to play a video game that costs $0.75.









1. Write a verbal inequality model that represents this situation.

2. Write an algebraic inequality model that represents this situation.

3. Show all work to solve the inequality.

4. Graph the inequality.

5. Describe the possible numbers of times you can play the same video game.

Answers

Answer:

3

Step-by-step explanation:

and the answer is 17

Answer:

1. The total cost of movie and the total cost of refreshments purchased and the total  cost of video games played cannot exceed 40

2. 14.50 + 7.75x + 0.75y ≤  40

3. y ≤ 34 - 10.333x

4. See attached graph

5.

one  refreshment means you can play 23 times
two refreshments means you can play 13 times
three refreshments means you can play 3 times

Step-by-step explanation

We have to assume that you can see one movie but but buy multiple refreshments and play multiple video games. A refreshment is considered to be one drink and one popcorn.

If not we have a situation where we have three unknowns and it will be difficult to solve in a 2D context

1. Verbal inequality model
The total cost of one movie and the total cost of refreshments purchased and the total  cost of video games played cannot exceed 40

2. Algebraic Inequality Model
Since the cost of a movie is 14.50 and you are seeing only 1 movie, the cost is 14.50(1) = 14.50

Assume you are going to buy x refreshments. Total cost of refreshments = 7.75x

Assume you are going to play y video games. Total cost of video games played = 0.75y

This cannot be greater than 40 i.e ≤ 40

So the algebraic inequality is
14.50 + 7.75x + 0.75y ≤  40

3. Solving the inequality

Subtracting 14.50 from both sides we get
7.75x + 0.75y ≤  25.50

Subtracting 14.50 from both sides we get
7.75x + 0.75y ≤  25.50

Subtract 7.75x from both sides:
0.75y ≤ 25.50- 7.75x

Divide both sides by 0.75
y ≤ 25.50/0.75 - 7.75x/0.75

which is
y ≤ 34 - 10.333x

3. Graph of Inequality

This is an inequality in 2 variables and can be graphed.
See attached graph. The shaded portion represents the inequality
y ≤ 34 - 10.333x

Note that since neither x nor y can be < 0, we should not consider any portion of the shaded area which would mean two more constraints x ≥ 0 and y ≥ 0 but in this case I have stuck to only the above one inequality

5. Possible number of times you can play the same video game

Again we consider only 1 movie and multiple refreshments and video games

Using the inequality y ≤ 34 - 10.33x

If x = 1 refreshment,
y ≤ 34 - 10.33 x 1
y ≤ 23.67 or max 23 times you can play the video game max

If x = 2,
y ≤ 34 - 10.33 x 2
y ≤ 13.34 or maximum 13 times

If x = 3
y ≤ 34 - 30.99
y ≤ 3.01 or maximum 3 times

Answer this question please

Answers

Answer:

[tex] \sf \large \: x<19 \: or \: x>−5[/tex]

Step-by-step explanation:

Let's solve your inequality step-by-step.

|x−7|<12

Solve Absolute Value.

|x−7|<12

We knowx−7<12andx−7>−12

x−7<12(Condition 1)

x−7+7<12+7(Add 7 to both sides)

x<19

x−7>−12(Condition 2)

x−7+7>−12+7(Add 7 to both sides)

x>−5

Answer:

x<19 and x>−5

14 less than the product of two and number 16

Answers

Answer:

18

Step-by-step explanation:

(2 x 16) - 14 = 32 - 14 = 18

Determine the percent change in the price of an item that was selling for $230.00 last
year, and is being sold for $184.00 this year.

Answers

230 - 184 = 46/230 = 0.2 x 100 = -20%

What is the decimal form of the given fraction 48/100

Answers

Answer:

0,48

Step-by-step explanation:

whenever we convert a fraction to a decimal, it is easier to convert the denominator to a power of 10 and then move the comma the amt of zeros left of the number

solve for x? divide after getting your last resolution!!
x+18=7x

Answers

x+18=7x
-x. -x
18=6x
Divide by 6
x= 3
Other Questions
How does a prism separate white light into the different colors that compose it?. Show that the roots of the quadratic equation given by(x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0are real and they can not be equal unless a=b=c For the following choose from:ACT, extracurricular activities, community activity, financial aid, or SAT?__________participating in athletics such as tennis, football, swimming, golfing, etc.__________loans, grants, scholarships.__________test that includes a science reasoning section.__________test that is preferred by students who live on the East and West Coasts.__________helping build a new local playground or delivering books to patients in a hospital What is the mean and the median of 2, 4, 6, and 8? A suspension of yeast supplied with glucose as its source of energy was transferred from an aerobic environment to an anaerobic one. Which result would you predict for the rate of glucose utilization and the rate of ethanol production after the transfer? assume that the yeast must expend the same amount of energy to survive in both environments. Marna is researching the United States Supreme Court case Bush v. Gore. Which of the following sources should she avoid because it is not credible? The length of a rectangle is 6 inches longer than its width. What are the possible widths if the area of the rectangle is at least 667 square inches? Which of the following is arranged in the order of increasing levels of organization? Jonah read 5 1/2 chapters in his book in 90 minutes. How long did it take hto read one chapter? mylab finance with pearson etext -- access card -- for fundamentals of corporate finance, 5th edition on october 1, borrowed $12 million cash from second commercial bank under the line of credit and issued a five-month promissory note. interest at the prime rate of 10% was payable at maturity. management planned to issue 10-year bonds in february to repay the note. If the 100th term of an arithmetic sequence is 609, and its common difference is 6, thenits first term a1=Its second term a2= Its third term a3= Question 5 (2.5 points)Which of the following is a short-term goal?Going to a graduation one month awaySeeing a grandchild born in eight monthsCompleting a college education in four yearsBuying a new car next year some of the pressures leading to the development of resistant strains of bacteria include: a. overuse of antibiotics b. counterfeit drugs, poor prescribing practices c. poor patient compliance with taking prescribed drugs d. all of these are correct Electronic hacking and illegal trespassing for the purposes of acquiring a competitors proprietary information is considered. 3.According to the 2010 census, the population of Nebraska was 1.8 x 106 people. Which statehad a smaller population?OCalifornia: 3.7 107ORhode Island: 1.1 106OTexas: 2.5 x 107OMissouri: 6 x 106 one thing we all could be more conscious of is the understanding that both emotions and technologies are historical artifacts, that theyre shaped by humans. that realization makes it clear that we do actually have the power to collectively change them. The dupont system of analysis emphasizes that profit generated by assets can be derived by a combination of profit levels and how fast an asset can turnover. True or false?. cogswell me, zhang z, carriquiry al, et al. sodium and potassium intakes among us adults: nhanes 2003-2008. am j clin nutr. 2012;96:647-657. what mass of sodium azide is required to produce 2.6 ft (73.6 l) of nitrogen gas with a density of 1.25 g/l?