Find the value of each variable.

Find The Value Of Each Variable.

Answers

Answer 1

Answer:

a = 20

b = 30

Step-by-step explanation:

1) Solving for a

From the diagram above, KL + ML = An arc

Hence, we add them up

110° + 130° = 240°

1/2 of 240° = 120°

Solving for a°

180° = 120° + 3a (sum of opposite angles in a cyclic quadrilateral)

180° - 120° = 3a

60° = 3a

a = 60/3

a = 20

2) Solving for b

The sum of the exterior angles of a circle = 360°

Hence:

360° = KL + ML + JM + JK

KL = 110°

ML = 130°

JM = 54°

JK = ??

JK = 360 - (110° + 130° + 54°)

JK = 360 - 294

JK = 66°

Adding up JK + JL = 54° + 66°

= 120°

1/2 of 120° = 60°

Hence:

60° + 4b = 180°(sum of opposite angles in a cyclic quadrilateral)

4b = 180° - 60°

4b = 120°

b = 120/4

b = 30


Related Questions

i need help with this

Answers

Answer:

the first option - 48s + 4.75

Step-by-step explanation:

-2(3x-2) + 2x = -6X - 10

Answers

Answer:

[tex]x = - 3[/tex]

Step-by-step explanation:

[tex] - 2(3x - 2) + 2x = - 6x - 10[/tex]

[tex] = > - 6x - 4 + 2x = - 6x - 10[/tex]

[tex] = > - 4x - 4 = - 6x - 10[/tex]

[tex] = > - (4x + 4) = - (6x + 10)[/tex]

[tex] = > 4x + 4 = 6x + 10[/tex]

Keeping all like terms in L.H.S ,

[tex] = > 6x - 4x = 4 - 10[/tex]

[tex] = > 2x = - 6[/tex]

[tex] = > x = \frac{ - 6}{2} = - 3[/tex]

WILL GIVE BRAINLIEST PLZ HURRY
Each Saturday, a gym holds one 45-miute Zumba class. The weekday Zumba classes last 30 minutes. The number of weekday classes varies. Last week, the Zumba classes totaled 165 minutes.
Write an equation that you can use to find the number of weekday Zumba classes held
a165c=30+45
b165=30+45c
c165=30c+45
How many weekday Zumba classes were held?

Answers

Answer:

C

Step-by-step explanation:

because it is asking to find the number of classes held during the weekday zumba class.

weekday class = 30 minutes

Saturday= 45 minutes

total = 165  

4. 3x + 7 + 5x = 16 + 7 then x =​

Answers

4.3x+5x=16+7-(7)

9.3x=16

x= 1.72

give me a brainliest if possible. please.. tnx

Answer:  1.72.......

Step-by-step explanation:  4.3x + 7 + 5x = 16 + 7

=> 7 + (5x + 4.3x) = 16 + 7

7 + 9.3x = 23

9.3x = 23 - 7    [ 7 becomes -7 when transferred to RHS]

9.3x = 16

x = 16 /9.3    [ 9.3 becomes 1/9.3 when transferred to RHS]

x = 1.72......

Hope it helped u,

pls mark as the brainliest

^v^

Write an equation for the statement. Then, solve the equation:
The volume of a can varies jointly as the height of the can and the square of its radius. A can with an 8 inch
height and 4 inch radius has a volume of 402.12 inches cubed. What is the volume of a can that has a 2 inch
radius and a 10 inch height?

PLZZ help

Answers

Answer:

V = 125.6 in³

Step-by-step explanation:

let V be volume, h the height and r the radius, then the equation relating the quantities is

V = khr² ← k is the constant of variation

To find k use the condition V = 402.12, h = 8, r = 4

402.12 = k × 8 × 4² = 128k ( divide both sides by 128 )

3.14 = k [ note 3.14 is π )

V = 3.14hr² ← equation of variation [ V = πr²h ]

Given r = 2 and h = 10, then

V = 3.14 × 10 × 2² = 3.14 × 40 = 125.6

John and Lauren are looking for a good neighborhood to raise their children. They want neighbors who
have kids and who are fellow rollerbladers as well. The couple surveys a random sample of residents in a
nice-looking neighborhood. Their results are shown below.
Matthew, Patrick, and Susan live in the neighborhood. Matthew rollerblades every Sunday. Patrick is a
computer programmer, but that's all we know about him. Susan is a stay-at-home mom.
Calculate the following probabilities based on the frequency table below.
Round to the nearest hundredth of a percent.
Probability that Matthew doesn't have kids=
%
Probability that Patrick has kids and does not rollerblade =
Probability that Susan rollerblades =
%
%
Kids
No kids
Row total
Rollerblader
41
9
50
Not a rollerblader
3
9
12
Column total
44
-18
62

Answers

Answer:

Matthew does not have kids = 18%

Patrick has kids and does not Rollerblade = 4.84%

Susan Rollerblades = 93.18%  

Step-by-step explanation:

9 ÷50 = 0.18 = 18%

3÷62 ≈ 0.0484 = 4.84%

41 ÷ 44 ≈ 0.9318 = 93.18%

help please this is for inequality math!! n + 7 < - 3

Answers

Answer:

n < -10

Step-by-step explanation:

n+7 < -3

subtract 7 from both sides

n+7-7 < -3-7

n < -10

At 10 AM horn and Tyler both started running toward each other from opposite ends of a 10 mile path along the river. On runs out a piece of 12 minutes per mile. Tyler is it a piece of 15 minutes from now. How far is home run after half an hour

Answers

Complete question :

At 10:00 am, Han and Tyler both started running toward each other from opposite ends of a 10 mile path along a river. Han runs at a pace of 12 minutes per mile Tyler runs at a pace of 15 minutes per mile how far does Han run after a half hour

Answer:

2.5 miles

Step-by-step explanation:

Given :

Distance between Horn and Tyler = 10 miles

Horn's pace = 12 minutes per mile

Tyler's pace = 15 minutes per mile

Horn's distance after half an hour :

Time = Half an hour = 30 minutes

Horn's speed = distance / time

Horn's speed = 1 mile / 12 minutes = 0.83333 miles per minute

Hence, Horn's distance after half an hour :

Distance = speed * time

Distance = 0.83333 miles per minute * 30 minutes

Distance = 2.5 miles


ANSWER ASAP WILL MARK BRAINLIEST

Answers

Answer:

8.5

Step-by-step explanation:

(19x19)-(17x17)=72

square root of 72

Which expression represents the volume of the pyramid? StartFraction x cubed + 2 x squared Over 3 EndFraction cm3 StartFraction x squared + 2 x squared Over 2 EndFraction cm3 StartFraction x cubed Over 3 EndFraction cm3 StartFraction x cubed + 2 x squared Over 2 EndFraction cm3

Answers

Answer:

(x³+2x²)/3 cm³

Step-by-step explanation:

Find the diagram attached

Volume of a pyramid = 1/3 * Base area * height

Base area = x*x

Base area = x²

Height = x+ 2

Get the volume:

Volume of the pyramid = 1/3 * x² * x+2

Volume of the pyramid =  x²(x+2)/3

Volume of the pyramid  = (x³+2x²)/3 cm³

Answer:

D aka (x³+2x²)/3 cm³

Step-by-step explanation:

At a parade, there are m women and 3 times as many men as women. There are 6,352 fewer children than men. Find the number of men and the number of children respectively in terms of m. If m = 7,145 how many people are at the parade?

Answers

Answer: 34,932 people

Step-by-step explanation:

Hopefully this helps with understanding.

3. Problem 2: Suppose a radio manufacturer has the total cost function C (x) = 43x + $ 1850 and the revenue function R (x) = $ 80x. Where "x" is the number of radios manufactured and sold. Find:
plissssssssssssss helpppp

Answers

Given that,

Total cost function, C (x) = 43x + $1850

The revenue function R (x) = $80x

To find,

The number of units that must be produced and sold to break even.

Solution,

At break even, cost = revenue

43x + $1850 = $80x

Subtract 80x from both sides.

43x + 1850 -80x = $80x -80x

1850 = 80x-43x

37x = 1850

x = 50

So, the required number of units are 50.

I = $60, P = $750, r = 4%, t = ?. Find the amount of time

Answers

Answer:

The time required to  accumulate simple interest of $ 60.00

from a principal of $ 750.00  at an interest rate of 4% per year  is 2 years.

Step-by-step explanation:

Given

Interest I = $60Principle P =  $750Interest rate r = 4% = 0.04

To determine

Time period t = ?

Using the formula

I = Prt

t = I / Pr

substitute I = $60, P = $750 and r = 0.04 in the equation

t = 60 / ( 750 × 0.04 )

t = 2  years

Therefore, the time required to  accumulate simple interest of $ 60.00

from a principal of $ 750.00  at an interest rate of 4% per year  is 2 years.

15/x = 5/6


Plz help me solve this proportion of multiplication plz help

Answers

Step 1: Cross-multiply.

15 /x = 5 /6

(15)*(6)=5*x

90=5x

Step 2: Flip the equation.

5x=90

Step 3: Divide both sides by 5.

5x /5 = 90 /5

x=18

Answer:

x=18

Answer:

x=18

Step-by-step explanation:

divide 15 by 5/6= 15 times 6/5, simplify, 3 times 6, simplify, 18

give the other person brainliestt

ple answer the question


12x³+8x²-3x-2 / 4x²+1​

Answers

Answer:

3x+2, with a remainder of -6x-4

Step-by-step explanation:

I think the answer is

3x+2+ -6x-4
————-
4x^2+1

I got this answer by using polynomial division

in a community center 15 bottles are evenly spaced 12 cm apart from each other in a row for a competition
what is the distance from the fourth bottle to the tenth bottle?​

Answers

Answer:

72 cm

Step-by-step explanation:

Relative to the first bottle, there are n - 1 spaces between the first bottle and the nth bottle. Since, each bottle is placed relative to the first bottle.

Now, for the fourth bottle, that is, n = 4, there are 4 - 1 = 3 spaces between the first and fourth bottle.

Since each space is 12 cm, the distance between the first and fourth bottle is 12 cm × 3 = 36 cm.

Now, for the tenth bottle, that is, n = 10, there are 10 - 1 = 9 spaces between the first and fourth bottle.

Since each space is 12 cm, the distance between the first and fourth bottle is 12 cm × 9 = 108 cm.

So, the distance between the fourth bottle and tenth bottle is distance between tenth bottle to first bottle minus distance between fourth bottle to first bottle = 108 cm - 36 cm = 72 cm

in one year dog's weigh from 64 pounds to 80 pounds . by what percentage did the dog's weght increase

Answers

Answer:

15%

Step-by-step explanation:

First, let's find how many pounds the dog's weight increased by during the year.

80 - 64 = 16

Now, knowing that the dog's weight increased by 16 pounds, we can use that to figure out the percentage of 16 out of 64 (divide them, then multiply by 100 to get a percentage).

[tex]\frac{16}{64}[/tex] • 100 = 0.25 • 100 = 25%

Can I get the answer for this, but please explain how to find these things out too I don’t quite get it

Answers

Answer: y = -2/3x + 5

Step-by-step explanation: you find the slope by finding “rise/run”. the rise is -2, and the run is 3, so the slope is -2/3. the y intercept is 5

Mel randomly selects a coin 200 times selecting a penny 45 times A. The experimental probability of 9 selecting a penny is 40 B. The theoretical probability of 6 selecting a penny is 25 C. The difference between the experimental 1 and theoretical probability is 10 What is the wrong answer?​

Answers

Answer:

the wrong answer is C, but the right answer is A

100 coins
Use the original price and the markdown to find the retail price.

Original price: $60; Markdown: 34%


The retail price is $
.

Answers

Answer:

$39.60

Step-by-step explanation:

34% of $60 is $20.40

$60 - $20.40 = $39.60

Can someone help? Math is a bit hard!

Answers

the answer to this is x=16/9

Answer:

I believe that X = 16/9 is the answer

Can someone help me? I am trying to get extra credit in my class so I don't fail

Answers

Answer: it should be the second at the top  the last one at the bottom

Step-by-step explanation:

(BRAINLIEST) HELP ASAP!

Answers

Answer:

1380

Step-by-step explanation:

60(15) = 900

2280 - 900 = 1,380

A store owner buys cell phones for $40 and marks up the price by 25%. What is the sale price of a phone?

Answers

Answer:

$50

Step-by-step explanation:

Price of the cell phone bought p = $40

% of markup in price = 25%

Selling price of the cell phone = p + (%)p

Selling price of the cell phone = P + (0.25)p

Selling price of the cell phone = p + 0.25p

Selling price of the cell phone = 1.25p

Selling price of the cell phone = 1.25 * $40

Selling price of the cell phone = $50

james is building a 10-inch by 12-inch rectangular picturee frame. To assure the frame has right angles, james measures thew two diagonals to se if they are equal.When the diagonals are equal, how long is each diagonal?

Answers

Answer:

15.62in

Step-by-step explanation:

What is the area of a rectangle with a base of 7 cm and a height of 11 cm

Answers

Answer: 77

Step-by-step explanation:

3
3
-6x + 6y= 6
-6x + 3y=-12
Solve the following system of equations. Write answer as an ordered pair (x,y), or write no
solution or infinitely many solutions if the system results in these cases. * "
(1 Point)
i’ll make u brainliest if u answer

Answers

Answer:

The solution set is (5,6).

Step-by-step explanation:

Given equations are:

-6x + 6y= 6         Eqn 1

-6x + 3y=-12      Eqn 2

Subtracting Eqn 2 from Eqn 1

(-6x+6y)-(-6x+3y)= 6-(-12)

-6x+6y+6x-3y=6+12

3y = 18

Dividing both sides by 3

[tex]\frac{3y}{3}=\frac{18}{3}\\y=6[/tex]

Putting y=6 in Eqn 1

-6x+6(6)=6

-6x+36=6

-6x=6-36

-6x=-30

[tex]\frac{-6x}{-6}=\frac{-30}{-6}\\x=5[/tex]

Hence,

The solution set is (5,6).

You run the same speed every day. Saturday you ran 4 miles in 32 minutes. On Sunday you ran 3 miles in m minutes.
36 minutes
12 minutes
28 minutes
24 minutes

Answers

Answer: 24 minutes, all you have to do is 4/32 which equals 8 then you do 3x8 which equals 24 :)

Step-by-step explanation:

4 miles =32

3 miles=m

32×3=4m

96=4m

m=96/4

=24

What’s all the factor pairs of 12

Answers

Answer: 1, 2, 3, 4, 6, 12

Answer:

[tex]1 \times 12 \\ 2 \times 6 \\ 3 \times 4 \\ 4 \times 3 \\ 6 \times 2 \\ 12\times1[/tex]

hope this helps you.

~ Hi1315~

Solving Quadratic Equations using the Square Root Property
[tex]x^2+7x+10=0[/tex]

but the teacher's guide says the answer is 17i

Answers

Answer:

[tex] x = -2 [/tex]   or   [tex] x = -5 [/tex]

Step-by-step explanation:

You need to complete the square before you can take the square root of both sides.

[tex] x^2 + 7x + 10 = 0 [/tex]

Subtract 10 from both sides.

[tex] x^2 + 7x = -10 [/tex]

To complete the square, you need to add the square of half of the x-term coefficient to both sides.

The x-term coefficient is 7. Half of that is 7/2. Square it to get 49/4. Now we add 49/4 to both sides of the equation.

[tex] x^2 + 7x + \dfrac{49}{4} = -10 + \dfrac{49}{4} [/tex]

[tex] (x + \dfrac{7}{2})^2 = -\dfrac{40}{4} + \dfrac{49}{4} [/tex]

[tex] (x + \dfrac{7}{2})^2 = \dfrac{9}{4} [/tex]

Now we use the square root property, if

[tex] x^2 = k [/tex], then

[tex] x = \pm \sqrt{k} [/tex]

[tex] x + \dfrac{7}{2} = \pm \sqrt{\dfrac{9}{4}} [/tex]

[tex] x + \dfrac{7}{2} = \pm \dfrac{3}{2} [/tex]

[tex] x + \dfrac{7}{2} = \dfrac{3}{2} [/tex]   or   [tex] x + \dfrac{7}{2} = -\dfrac{3}{2} [/tex]

[tex] x = -\dfrac{4}{2} [/tex]   or   [tex] x = -\dfrac{10}{2} [/tex]

[tex] x = -2 [/tex]   or   [tex] x = -5 [/tex]

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Can u pls help me with this question which expression shows the relationship between the ratios 1 to 2 and 3 to 6 a^2y+a^3 for a=-1.5 and y = -8.5 HELP NEEDED PRONTO!! :( Why do you think Chief Justice Roger B. Taney, who freed his own slaves, rules this way? Explain in 5 sentences. A model rocket is launched in the air. The quadratic function is modeled by the equation y = - 16x ^ 2 + 32x where is measuring time and y is the height of the model rocket. What is the max height the rocket reaches? please help me please will give brainliest do only 23 ,25,by factoring Compare and contrast automobile manufacturing before and after the moving assembly line was used. Drag each statement to the correct category Given the equation y = 2 x - 8, what is the slope and the y -intercept? Can anyone help me with this ? The taxi and takeoff time for commercial jets is a random variable x with a mean of 8 minutes and a standard deviation of 2.8 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway.A button hyperlink to the SALT program that reads: Use SALT.(a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)Incorrect: Your answer is incorrect.(b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)Incorrect: Your answer is incorrect.(c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)Incorrect: Your answer is incorrect.Need Help? Read It In a compound, what is this number called: H2O. Pretend its at the bottom of the element symbol but just the name of the number.Thanks! In the 1960s, Bob Dylan became famous forwriting a popular novel titled On the Road.composing influential countercultural music.founding the Students for a Democratic Society.organizing protests on college campuses. At Chewie's Porg Palace, one family meal comes with 3 side dishes and 10 pieces of porg. Complete the double number line diagram to show the number of side dishes and pieces of porg in 1, 2, 3, and 4 family meals. Choose the correct order of vents during the Punic Wars. Reorder answers 1.Hannibal defeated the Romans at the Battle of Cannae in southern Italy. Reorder answers 2.A dispute between Rome and Carthage over the island of Sicily. Reorder answers 3.A Roman fleet badly defeated Carthage's navy off the coast of Sicily. Reorder answers 4.In 146 BC. Rome finally destroyed Carthage and controlled a large portion of the Mediterranean region. Shortly thereafter, Rome started to control parts of Asia. The distance a toy car travels over time is shown in the graph.Motion of a Toy Car+Distance (m)560123 4Time (s)Which table best shows the average speed of the toy car at different time interATime (s)SpelAverageSpeed (m/s)Time (s)0-20-21.02-40.5 Quinten paid 4.16 for a pound of taffy. If his sister purchases 3 ounces of the same candy, how much will she pay? Drag the cards to create a number that matches these rules.The number ends in the tenths place.20 is the nearest ten when rounding numbers(4,1,6) 4(1 + 3u) Simplify please! Im stuck. :( Which of the following would have a scale factor greater than one?a) A Hot Wheels carb) A picture of a skyscraperc) A map of the worldd) A diagram of a plant cell Highschool level trigonometry!!! Need help knowing step by step how to find answer!A ladder is 15 m long. The top of the ladder rests against the wall of a house, and the foot rests on level ground 2m from the wall. Draw a diagram to illustrate the situation. Calculate the angle between the ladder and the ground.