Using the diagram, calculate the values of the unknown variables: a, b, and c.

Using The Diagram, Calculate The Values Of The Unknown Variables: A, B, And C.

Answers

Answer 1

Answer:

a = 82

b = 130

c = 118

Step-by-step explanation:

A quadrilateral is inscribed in a circle. So, it is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

a° + 98° = 180°

a° = 180° - 98°

a° = 82°

a = 82

By inscribed angle theorem:

a° = 1/2(b° + 34°)

82° * 2 = b° + 34°

164° - 34° = b°

b° = 130°

b = 130

Again by inscribed angle theorem:

76° = 1/2(c° + 34°)

76° *2 = c° + 34°

152° - 34° = c°

c° = 118°

c = 118


Related Questions

HELP!!!!!!!!!!!!!!!!!!!!!HELP ME PLEASE I WILL GIVE YOU 50 ponts

Answers

Answer:

D

Step-by-step explanation:

-3/8 converted to a decimal is -0.375

The absolute value of -0.5 is 0.5

hence, 0.5 is larger than -0.375

so the answer is d

hope this helps and is right :)

Answer:

Please look at the image.

Step-by-step explanation:

determine the radius of a circle whose circumfrence is 16.52cm​

Answers

Answer:

radius=2.62cm

hope it helps.

Do. -1° of Z is
A (1, -1)
B (-1, 1)
C (-3/2, 1)

Answers

The answer is A I think

which expression would be easier to simplify if you used the commutative property to change the order of the numbers
A. (-40) + (-30) + 28
B. -3/5 + (-2/5) - 4
C. 40 + (-58) + 160
D/ 130 + 70 + (-37)

Answers

Step-by-step explanation:

OPTION A

(-40) + (-30) + 28

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

A. 430
B. 620
C. 180°
D. 75°

Answers

Answer:

b is the answer

Step-by-step explanation:

a triangle equals up to 180 degrees and 75+43+62 equals 180

How much paper is needed to cover a rectangular bulletin board that is 29 in. wide and 37 in.
high?
A. 132 in2
B. 536.5 in?
C. 957 in?
D. 1,073 in?

Answers

Answer: The answer is D

The amount of paper needed to cover the rectangular bulletin board is 1,073 square inches. The correct answer is: D. 1,073 in²

To calculate the amount of paper needed to cover a rectangular bulletin board, we need to find the area of the board.

Given:

Width of the bulletin board = 29 inches

Height of the bulletin board = 37 inches

To find the area, we multiply the width by the height:

Area = Width * Height

Area = 29 inches * 37 inches

Area = 1,073 square inches

Therefore, the amount of paper needed to cover the rectangular bulletin board is 1,073 square inches.

The correct answer is:

D. 1,073 in²

To know more about  "bulletin board."  here

https://brainly.com/question/23417919

#SPJ2

Work out
25
% of
401.16
m

Answers

25 hope this helps !

Answer:

100.29m

Step-by-step explanation:

Which BEST describes the construction of a triangle if given the segment lengths of 10cm, 5 cm, and 4 cm? Unique Triangle, cannot be determined, triangle not possible, more than one triangle

Answers

Answer:

Step-by-step explanation:

a, b, c

a + b > c ; b + c > a ; a + c > b

5 + 4 < 10 ⇒ triangle not possible

Answer:

Triangle not possible.

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of two sides must be larger than the third side.

5 + 4 = 9

9 cm is not longer than 10 cm.

10 > 9

Therefore, the triangle is not possible..

Which of the following point-slope form equations could be produced with the points (4, 5) and (-3, -5)?

Answers

Given:

The two points are (4,5) and (-3,-5).

To find:

The point-slope form equations could be produced with the given points.

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The two points are (4,5) and (-3,-5). So, the slope of the line is:

[tex]m=\dfrac{-5-5}{-3-4}[/tex]

[tex]m=\dfrac{-10}{-7}[/tex]

[tex]m=\dfrac{10}{7}[/tex]

The point slope form of a line is:

[tex]y-y_1=m(x-x_1)[/tex]

Where, m is the slope of the line.

The slope of the line is [tex]m=\dfrac{10}{7}[/tex] is passes through the point (4,5). So, the point slope form is:

[tex]y-5=\dfrac{10}{7}(x-4)[/tex]

The slope of the line is [tex]m=\dfrac{10}{7}[/tex] is passes through the point (-3,-5). So, the point slope form is:

[tex]y-(-5)=\dfrac{10}{7}(x-(-3))[/tex]

[tex]y+5=\dfrac{10}{7}(x+3)[/tex]

Therefore, the point slope form of the given line is either [tex]y-5=\dfrac{10}{7}(x-4)[/tex] or [tex]y+5=\dfrac{10}{7}(x+3)[/tex].

which is typically true regarding loan repayments A. The higher interest rate you receive the lower the total repayment. B. The quicker you pay off the loan to lower the total repayment. C. The quicker you pay off the loan the higher the total repayment. D. The time you take to pay off the loan does not affect the total amount of repayment.

Answers

Answer:

B  

the quicker you pay off the loan, the lower the total repayment.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Yes bbbbbbbbbbbbbBBbbBbBB

A basketball league assigns 8 players to each team. How many players can sign up for the league if there are 24 teams?

Answers

Answer:

192

Step-by-step explanation:

If there are 8 players on a team, and a total of 24 teams, you will need to multiply 8 x 24 to find the answer.

8 x 24 = 192 players can sign up for the league.

(hope this helps can i plz have brainlist :D hehe)

Answer:

192 players

Step-by-step explanation:

8x24=192

8 is the 8 players per team, since there are 24 teams available, multiply 8 by 24.

heya Guys


it's too hot here
am about to die

since 6 hrs I am spraying chilled water

save me
becoming omlette here​

Answers

Answer:

..........................

Choosing Solutions plz help me no links

Answers

Answer:

b, c, d, e

Step-by-step explanation:

b c d are correct options

you roll one die and a spinner as shown below. what is the probability you roll and spin a 4?

Answers

Answer:

1/4

Step-by-step explanation:

HELP PLS ANSWER THIS CORRECTLY PLEASE YOU'LL GET 50+ BRAINLIEST POINTS AND CROWN BRAINLIEST PLEASE

Answers

Answer:

Susie is correct  because the function is y = x²

HELP ME PLZ

Which of the following situations could be solved by using the inequality 1 point shown below? * 9 + 1.25x > 14 +0.75x F. Park A charges an entrance fee of $9 plus $1.25 per ride. Park B charges $14 per ride and an entrance fee of $0.75. After how many rides will the total charge at Park A cost more than Park B? G. Danny finishes 1.25 homework problems every 9 minutes. Katie finishes 0.75 homework problems every 14 minutes. After how many minutes will Danny have completed more of his homework than Katie? H. Jake has $9 and spends $1.25 each day. Finn has $14 and spends $0.75 each day. After how many days will Jake have more money than Finn? J. Essence has run 9 miles and she runs 1.25 additional miles each day. Asia has run 14 miles and she runs 0.75 additional miles each day. After how many days will Essence have run more total miles than Asia?​

Answers

Answer: Essence has run 9 miles and she runs 1.25 additional miles each day. Asia has run 14 miles and she runs 0.75 additional miles each day. After how many days will Essence have run more total miles than Asia

Step-by-step explanation:

Peter buried a treasure chest on a remote island and is.making a map so he can find it later. One of the key landmarks in the area is a small rectangle hut, 5m by 8m

Answers

Where’s the rest of the question?

If x=2 and y=5 Evaluate this expression: 6x +5 y

Answers

Answer:

12 + 25 = 37

Step-by-step explanation:

If we have the value for each of the variables, we can plug them in, and be done with it.

when we plug them in, we get

6(2) + 5(5)

12 + 25

37

Click on the median of this part of the data

Answers

Answer:

7

Step-by-step explanation:

find the area enclosed by the figure. Use 3.14 for π. (The figure is not to scale).

Answers

Answer:

97.27 yd²

Step-by-step explanation:

First let's find the area of the right triangle on the left side. To do that, multiply 6x5, then divide the product by 2, since a right triangle is half a rectangle.

6x5=30

30/2=15

Area of triangle=15 yd²

Find area of the middle rectangle. So multiply the length by the width.

9x6=54

Area of rectangle=54 yd²

Find area of the half circle. Formula for area of circle is [tex]A=\pi r^{2}[/tex]. Pi is about 3.14, and radius ([tex]r[/tex]) is 3. Radius is half of the diameter of circle, and the 6 on the left says the diameter of circle.

[tex]\pi[/tex]x[tex]3^{2}[/tex]≈28.27

Area of circle is about 28.27 yd²

Add up the three areas.

15+54+28.27=97.27

There are 185 deer in a state park. The population is increasing at the rate of 16% per year. Enter a
prediction for how long it will take the population to reach 305. If necessary, round your answer to the nearest tenth.

The deer population will reach 305 in approximately _____
years.

Answers

Answer:

Approximately 3.4 years more or less

Step-by-step explanation:

If we represent this exponential growth as P=185(1.16)^n where n is the number of years passed and P is the population, then:

P=185(1.16)^n

305=185(1.16)^n

1.65=1.16^n

log₁.₁₆(1.65)=log₁.₁₆(1.16^n)

3.37=n

So the deer population will reach 305 in approximately 3.4  years.

What size is a standard margin?
a.
1.5 inches
c.
.5 inches
b.
2 inches
d.
1 inch


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer: D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Professor Adeyemi is examining well-being after retirement in a city, and it is important to have excellent external validity. Professor Adeyemi selects two random numbers, 4 and 6, and gets a list of all of the retired people in the city. If Professor Adeyemi obtains the sample by starting with the 4th person on the list and selecting every 6th person, which of the following sampling techniques is most likely being used?

a. systematic sampling
b. stratified random sampling
c. quota sampling
d. cluster sampling

Answers

Answer:

A: systematic sampling

Step-by-step explanation:

The correct answer is systematic Sampling.

This is because, Systematic sampling is a method of sampling whereby the researchers choose members of a population at regular intervals e.g., when we select every 10th person on a particular list in the population.

And in this question, the professor starts with the 4th person on the list and selecting every 6th person. Thus, the answer is systematic Sampling.

Solve the simultaneous equations
4x+3y=11
2x-y=-2

Answers

Answer:

[tex]x = \frac{1}{2} [/tex]

[tex]y = 3[/tex]

Step-by-step explanation:

Multiply the bottom equation by -2.

[tex] - 2( - 2x - y = - 2) = - 4x + 2y = 4[/tex]

Add the new equation to top equation.

[tex]5y = 15[/tex]

[tex]y = 3[/tex]

Know plug 3 in one of the equations to find x.

[tex]4x + 3(3) = 11[/tex]

[tex]4x = 2[/tex]

[tex]x = \frac{1}{2} [/tex]

Answer:

( [tex]\frac{1}{2}[/tex], 3 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 11 → (1)

2x - y = - 2 → (2)

Multiplying (2) by 3 and adding to (1) will eliminate the y- term

6x - 3y = - 6 → (3)

Add (1) and (3) term by term to eliminate y

10x + 0 = 5

10x = 5 ( divide both sides by 10 )

x = [tex]\frac{1}{2}[/tex]

Substitute x = [tex]\frac{1}{2}[/tex] into either of the 2 equations and solve for y

Substituting into (1)

4 ([tex]\frac{1}{2}[/tex] ) + 3y = 11

2 + 3y = 11 ( subtract 2 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

solution is ( [tex]\frac{1}{2}[/tex], 3 )

Ray feeds his dog 0.12 kilogram of dry dog food each day. How many kilograms of dry dog food does Ray need to feed his dog for the month of March? (March has 31 days.)​

Answers

Answer:

amount of food feed each day is 0.12 kg

amount of food required to feed in March( 31 days) is 0.12*31

the answer is 3.72kg

0.21x31
=6.51kg
Ray need to feed his dog 6.51kg for the month of March.

How do I solve for d(real answers only please)

Answers

9514 1404 393

Answer:

  multiply by (d/cos(36°))

Step-by-step explanation:

As with any division problem, the equation remains true if you swap the divisor and the quotient (short answer).

  cos(36°) = 16/d

  d = 16/cos(36°) = 16/0.8090169943749475 ≈ 19.77708763999635

  d ≈ 19.78

__

Here is the longer answer, with respects to the properties of equality. The multiplication and division properties of equality tell you equality only holds if the same operation is performed to both sides of the equal sign. So, when we say "multiply by __", we mean that operation to be performed on boths sides of the equation.

  [tex]\cos{(36^{\circ})}=\dfrac{16}{d}\qquad\text{given}\\\\d\cdot\cos{(36^\circ)}=\dfrac{d\cdot 16}{d}=16\qquad\text{multiply by $d$}\\\\\dfrac{d\cdot\cos{(36^\circ)}}{\cos{(36^\circ)}}=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{divide by $\cos{(36^\circ)}$}\\\\d=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{simplify}[/tex]

__

The two operations, multiply by d and divide by cos(36°) can be combined into one: multiply by d/cos(36°). Once you realize this has the effect of the quotient (cos(36°)) and the divisor (d) trading places, you realize you don't need to take 3 steps to do what you can do in 1 step.

_____

Comment on numerical precision

We have kept the 16-digit precision of the numbers shown in the question, "just because." The final answer has 4 significant digits, so there is no real need to keep more than about 6 significant digits.

If Houston is six hours behind London, what time would it be in Houston if it were 9 p.m. in London?

Answers

Answer:

3 p.m

Step-Hope this helps!!

Answer:

pretty sure 3pm

Step-by-step explanation:

You just subtract 9-6

So its 3pm :)

(Photo is part one)Malik also adds the following ingredients. How many cups of each
did he add? Show each step of your solution.
• 28 tablespoons of sugar
• 6 tablespoons of cocoa powder

Answers

Answer:

Step-by-step explanation:

what are we looking for?/

What percentage of the shape is green?

Answers

Answer:

86 %

Step-by-step explanation:

Total no. of squares = 50

No. of green squares = 43

Percentage of green squares = (43/50) x 100%

Percentage = 86%

The ratio of the diameters of two similar cylinders is 4/5 What is the ratio of their surface areas? of their volumes?

Answers

Answer:

yo

Step-by-step explanation:

jy

Other Questions
A hiking trail is 150 meters long. A mountain lion can run the entire trail in 30 seconds. How fast does the mountain lion run? The kit fox and red fox species are closely related. The kit fox lives in the desert, while the red fox inhabits forests. Ear size and fur color are two differences that can be observed between the species. An illustration of these two species is shown below. Which statement best explains how the difference between these two species came about?(1) Different adaptations developed because the kit fox preferred hotter environments than the red fox.(2) As the foxes adapted to different environments, differences in appearance evolved(3) The foxes evolved differently to prevent overpopulation of the forest habitat(4) The foxes evolved differently because their ancestors were trying to avoid competition. Choose all the events that led to the growth of Christianity in the Roman world.es -))A)the crucifixion of JesusB)the conversion of Constantine)the use of underground tombs to worshipD)Nero blaming Christians for the fire of RomeE)the persecution of Jews who refused Roman gods NO LINKS OR I WILL REPORT YOU the benefits that come from people working together. can you please make it five paragraphs Indria is wrapping the box below. How much wrapping paper does she need 8in 6in 3 in A trumpeter plays at a sound level of 75dB. three equally loud trumpet players join in. what is the new sound level? whats the area besties? express 242 as a product of prime factors if you send a link or photo I will report your answer PLEASE THIS IS MY LAST QUESTION AND I NEED HELP!!! Which model represents a possible chemical reaction 11.) Solve the equation.I16m + 8m = 0a) m = 0, m = -2b) m = 0, m=2c) m= 0, m=d) m = 0,m=-1/2 When ___ attacks the surface of a metal, it becomes tarnished. WILL GIVE BRAINLIEST!!1. Would you add a hyphen or dash to this number?Twenty two2. Which is correct? (a or b)a.) John's dog was returned to him.b.) Johns' dog was returned to him.3. Which is correct? (a or b)a.) He loved that car; it was his greatest treasure. b.) He loved that car: it was his greatest treasure. What is the exact value of sin(345degree)? Luis Huerto has a limited payment insurance policy until age 65. His annuapremium is $875. He wants to pay the premium monthly. The monthlypremium is 8.4% of the annual premium. What are his monthly payments?$73.50$70.98$56.11$69.75 ______ is a natural resource that is used to produce energy ?Natural resourceEnergy resourceNonrenewable resourceRenewable resource Use the following information to answer Questions 12 - 15. Below is selected data for Gertup Corporation as of 12/31/05: Gertup has maintained the same inventory levels throughout 2005. If end of year inventory turnover was increased to 12 through more efficient relationships with suppliers, how much cash would be freed up (pick closest number) Between 1846 and 1860, nearly all Texans lived on farms or ranches. During this time, the number of farms grew from 12,000 to almost 43,000. Because land was available and inexpensive, many Texans farmed or raised cattle on their own land rather than working for someone else.Which title would be most appropriate for the article excerpted above?A Weather and Soil Increase Farming in Texas,B U.S Government Gives Land to Texas FarmersC Affordable Land Contributes to the Growth of Texas FarmsD Shortage of Available Land for Farms in Texas Work out the value of xThe diagram is not drawn to scale. What happens if neither plate goes down towards the mantle?