In the figure shown, line AB is parallel to line CD.

Part A: What is the measure of angle x? Show your work. (5 points)

Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)

In The Figure Shown, Line AB Is Parallel To Line CD.Part A: What Is The Measure Of Angle X? Show Your

Answers

Answer 1

Answer:

x = 53

Step-by-step explanation:

AB ║ CD                         Given        

m ∠APQ = m ∠RQP = 62°       If parallel lines, then alternate interior angle =

  m ∠DRP + m ∠PRQ = 180°   These angles form a linear pair which = 180°

         115° + m ∠PRQ = 180°      Substitution

  m ∠PRQ = 65°                  Subtraction  

m Δ QPR = 180°                       Definition of triangle

m Δ QPR = m ∠PQR + m ∠QPR + m ∠PRQ    the sum of the angles of triangle

    180° =  62° +  x  + 65°

    180 =  127 +  x

    53 = x

     

   


Related Questions

Answer for brainiest

Answers

Answer:

x=72°

Step-by-step explanation:

We know angles around a point equals 360°

Therefore,

(2x-61)°+(x-11)°+3x°=360°

2x-61+x-11+3x=360°

Collect like terms,

2x+x+3x-61-11=360°

6x-72°=360⁰

Evaluate;

6x=360°+72°

6x=432°

Divide both sides by 6

x=72°

A cheerful teen willing to help,

please mark BRAINLIEST,

stay salty...

Answer:

x = 72°

Step-by-step explanation:

there is a total of 360 degrees in a circle

we know we can add the angle measures shown and set it equal to 360

3x + (x-11) + (2x-61) = 360

combine 'like terms':

6x + (-11) + (-61) = 360

6x + (-72) = 360

6x = 432

x = 72

Check:

[2(72)-61] + (72-11) + 3(72) should equal 360

(144-61) + 61 + 216 = 360

83 + 61 + 216 = 360

360 = 360

90 degree angle is divided into two sides

Answers

Answers:

3x + 40 =64

4x - 6 =26

Step-by-step explanation:

So we are dealing with 2 complementary angles with both add up to 90 degrees. We can write an equation that shows this:

(3x+40) + (4x-6) = 90

Combine like terms

7x + 34 =90

Isolate x

7x = 56

x = 8

Now that we found x, all we have to do is substitute it in the equations:

3x + 40 = ?

3(8) +40 = ?

24+40 = ?

64 = ?

4x - 6 = ?

4(8) - 6 = ?

32 - 6 = ?

26 = ?

Answer:

3x+40= 66

4x-6= 26

Step-by-step explanation:

3x+40+4x-6=90˚ (because the square on the angle represents a 90˚)

Add 4x and 3x

Which is 7x

40 minus 6 is 34

The equation now looks like this:

7x+34=90˚

Subtract 34 on both sides:

7x=56

Divide 7 on both sides:

x=8

For 3x+40

Substitute x with 8

the equation now looks like this:

24+40 Which is 66

For 4x-6

4 times 8 is 32

32 minus 6 which is 26

Hope this helps!

A student randomly guesses the answers to a five-question true/false test. If there is a 50% chance of guessing correctly on each question, what is the probability that the student misses no questions?
ANS: 0.03125

Answers

Also 50% because it is the opposite

. The sum of infinity of G.S is 15, 1st term is 3 then the common ratio is.​

Answers

Step-by-step explanation:

We know ,

=> Sum = a / 1 - r

=> 15 = 3/1-r

=> 15 - 15r = 3

=> 15r = 18

=> r = 18/15

=> r = 6/5

simplify 3 wholes 6/8 + 2 wholes 2/8

Answers

Answer:

5/1

Step-by-step explanation:

3.75 + 2.25 = 5

5 = 5/1

What is the other 0 of the quadratic function

Answers

Answer: Unknown

Step-by-step explanation:

-b+/-√b^2-4ac/2a < plug a b and c into this equation and boom done ez

Help I need to solve A. B. C and D.

Answers

Answer:

A) -3 > -5

B) -5 < 0

C) 6 > -1

D) tuesday > wednesday

Step-by-step explanation:

< = lower than

> = greater than

Find the value of y for the given value of I.
y=x/2 + 9;x = -12

Answers

9514 1404 393

Answer:

  y = 3

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  [tex]y=\dfrac{x}{2}+9\\\\y=\dfrac{-12}{2}+9=-6+9\\\\\boxed{y=3}[/tex]

(a) The diagram below, not drawn to scale, shows a circle, centre 0. EH and EF are tangents to the circle. FOG and JOH are straight lines. The measure of ZFCH = 44º. 44° Calculate, giving reasons for your answer, the measure of: (i) ZEHF (ii) ZFGH (2 marks) (2 marks) (iii)JHE (2 marks (iv) ZJGH 90 (2 marks)​

Answers

Answer:

it is 6574 for the math problem

Need help I got 23,294 as the answer but it’s not an option please explain how you got the answer.

Answers

Answer:

A

Step-by-step explanation:

Calculation seems correct to me, with d the distance and h the height of the plane, and i got the same value. Closest value is A tho, so i'd stick with it.

If you want to be pedantic about it, you can always divide the heigth by each value, and get the inverse tangent of each value. With A you get 17.995 which seems the best value you get

A machine packs 180 boxes of cereal in a half-hour. It takes 55 minutes to pack 330 boxes. True or False?

Answers

I think that the answer is true

Find atleast four equivalent fractions for each fraction 8/18

Answers

16/36, 24/54, 32/72 and 40/90.

these are the equivalent fractions of 8/18

PLEASE MARK MY ANSWER AS BRAINLIEST

Answer:

16/36, 4/9, 24/54, 32/72

In science class, a student is measuring the temperature of a solution in science experiment. The solution
started at -3.4 degrees. After two minutes the temperature had increased 12.4 degrees. After a few more
minutes, the temperature decreased 20.4 degrees. After one more minute the temperature increased by
3.2 degrees. What is the final temperature?

Answers

Answer:

-11.8

Step-by-step explanation:

Given:

-3.4 to 12.4        increased  (difference = 15.8)

12.4 to 20.4      decreased (difference = 8)

20.4 to 3.2        increased  (difference = 17.2)

To find:

Final temperature.

Solution:

As we noticed, this is a pattern of increase, decrease, increase... (and so on and so forth). From this alone, we have gotten the clue that the temperature is going to decrease. But here is the thing, How far will it decrease?

Use the difference of the starting result to find the ending result.

3.2 - 15

= -11.8

Therefore, the final temperature is -11.8.


Write a function that has the following characteristics:

-Exponential decay

-Asymptote is y = -2

-Shifted left 3 units from the parent function

Answers

9514 1404 393

Answer:

  y = 0.4^(x+3) -2

Step-by-step explanation:

I have chosen the decay function y=0.4^x as the parent function.

Shifting any function f(x) left 3 and down 2 will transform it to ...

  y = f(x+3) -2

So, the shifted parent function is ...

  y = 0.4^(x+3) -2

I need to find out what the value of Z is pls help

Answers

171 ig

Step-by-step explanation:

2z-4= 2

3z+4=

7+2= 9

180(supplementary)

180-9=171 degree

A tin contains 425g baked beans in sauce. The tin itself weighs 60g. How much will a pack of 6 tins weigh in kilograms

Answers

Answer:

2.91 Kg

Step-by-step explanation:

Tin weighs 60g, it contains 425g of baked beans, add that together to get a full tin of baked beans

= 485.

Multiply by 6 to get the total amount in grams

= 2910g.

Turn that into Kg.

2.91 kg.

The weight of 6 tins will be 2.19 Kg,

What is Unitary Method?

The unitary technique involves first determining the value of a single unit,  followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Tin weighs 60g, it contains 425g of baked beans,

So, the total weight along with tin

= 425 + 60

= 485 g

Now, the weight of 6 tins

= 485 x 6

= 2190 g

= 2190/1000 Kg

= 2.19 Kg

Hence, the weight is 2.19 Kg.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

George has four boards that are each 43 feet long and two that are 5.75 feet long.
What is the total length of all the boards together? Give your answer as a decimal.

Answers

Answer:

183.50 feet

Step-by-step explanation:

43*4=172

5.75*2=11.50

172+11.50=183.50

183.50 feet

If you split 8 kg of strawberries among yourself and three friends, how many kilograms of strawberries will each person receive?

Answers

Answer:

2kg brainliest expected

Step-by-step explanation:

there's 4 people so divide 8 by 4.

each person shall get 2 kg

your family have decided to paint your room. It took 1/2 hour to paint 1/8 of your room. How long will it take to paint your whole room?

Answers

Answer:

4 hours

Step-by-step explanation:

In  6  hours,  J  paints  1  room

So, in  1  hour,  J  paints  1/6 th of the room

Using similar logic, in  1  hour,  T  paints  1/12 th of the room.

Working together in one hour, they paint  (1/6+1/12) th =1/4  of the room.

1/4  of the room is painted in  1  hour

So,  1  room is painted in  1 1/4=4  hours

Answer:

Step-by-step explanation:           1/7

Round 1.04to the tenths place.

Answers

Dear, the answer is 1.0

Hope this helps~ ^^

how do you factor 3x^2-3x-90

Answers

3x^2 - 3x -90

=3 (x^2 - x -30)

=3 (x^2 −6x+5x−30)

=3(x(x−6)+5(x−6))

=3(x−6)(x+5)

A manager at a store is holding a contest where the first, ninth, and ninetieth customers of the day will win a prize. 100 people visit the store that day. Three different friends visit the store that day. What is the probability that they are the first, ninth, and ninetieth customers of the day? Give your answer as a fraction in simplest form.

Answers

Answer: 1/970200

Step-by-step explanation:

This is a permutation problem, because the order matters.

There are 100! ways for the 100 customers to visit the store.

There are (100−3)!=97! ways for the three friends to be the first, ninth, and ninetieth customers

3. A train set costs $120.00. Find the discount if it is on sale for
30% off.

Answers

Answer:

36

Step-by-step explanation:

To find the discount, you will need to find 30% of $120, so you will need to do:

120*0.3=36

Also, if you were asking for the COST if it was 30% off, it would be 84 as 120-36=84.

(I hope this helps!)

The cost for 30% off would be $84.

Can anyone give me the second derivative of 6(x^4+6xy^3-18)^3 please?

Answers

Answer:

Step-by-step explanation:

[tex]6(x^4+6xy^3-18)^3[/tex] =

[tex]6x^12+108x^9y^3 - 324x^8 + 648x^6y^6 - 3888x^5y^3 = 5832x^4 + 1296x^3y^9 - 11664x^2y^6 + 34992xy^3 - 34992[/tex]

If you want all the steps then use this: https://www.symbolab.com/solver/second-derivative-calculator/6%5Cleft(x%5E%7B4%7D%2B6xy%5E%7B3%7D-18%5Cright)%5E%7B3%7D?or=input

A gardener makes a new circular flower bed. The bed is ten feet in diameter. Calculate the circumference and the area of the circular flower bed

Answers

Answer:

C=78.5

Step-by-step explanation:

C=πr²

r=1/2 of diameter

π=3.14

C=π5²

C=78.5

The circumference and the area of the circular flower bed are 31.4 feet and 78.5 square feet respectively.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).

It is given that:

A gardener makes a new circular flower bed. The bed is ten feet in diameter.

D = 10 feet

The radius r = D/2 = 10/2 = 5 feet

A = πr²

π = 3.14

A = π(5)²

A = 78.5 square feet

The circumference:

C = 2πr

C = 2(3.14)(5)

C = 31.4 feet

Thus, the circumference and the area of the circular flower bed are 31.4 feet and 78.5 square feet respectively.

Learn more about circle here:

brainly.com/question/11833983

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A file that is 249 megabytes is being downloaded. If the download is 15.7% complete, how many megabytes have been downloaded? Round your answer to the
nearest tenth ?

Answers

Answer:

39.1 megabytes

Step-by-step explanation:

Percentages are out of a hundred, so 15.7% is 15.7 out of 100, aka 15.7/100, which is 0.157.

Now, you just need to multiple this number by 249 megabytes to get 0.157 * 249 = 39.093 which rounds to 39.1

39.1 megabytes just multiply buy 249

Find the GCF of 21m5n2 and 28m4n2.

Answers

7m^4n^2 is the answer

Which of the following could be the number shown on the number line?
A. V66
B. V60
C. V63
D. V65

Answers

Answer:

A

Step-by-step explanation:

v666

People were polled on how many books they read the previous year. Initial survey results indicate that s= 18.1 books. Complete parts ​(a) through ​(d) below.

(a) How many subjects are needed to estimate the mean number of books read the previous year within six books with 95​%​confidence?

This 95% confidence level requires ____subjects. ​(Round up to the nearest​ subject.)

(b) How many subjects are needed to estimate the mean number of books read the previous year within three books with 95​% ​confidence?

This 95% confidence level requires _____subjects. ​(Round up to the nearest​ subject.)

(c) What effect does doubling the required accuracy have on the sample​ size?

A.Doubling the required accuracy nearly quadruples the sample size.

B.Doubling the required accuracy nearly halves the sample size.

C.Doubling the required accuracy nearly quarters the sample size.

D. Doubling the required accuracy nearly doubles the sample size.

​(d) How many subjects are needed to estimate the mean number of books read the previous year within four books with 99% confidence?

This 99% confidence level requires _____ subjects. ​(Round up to the nearest​ subject.)

This 99% confidence level requires ____subjects. ​(Round up to the nearest​subject.)

Compare this result to part (a). How does increasing the level of confidence in the estimate affect sample​ size? Why is this​reasonable?

A. Increasing the level of confidence increases the sample size required. For a fixed margin of​ error, greater confidence can be achieved with a smaller sample size.

B. Increasing the level of confidence decreases the sample size required. For a fixed margin of​ error, greater confidence can be achieved with a larger sample size.

C. Increasing the level of confidence decreases the sample size required. For a fixed margin of​ error, greater confidence can be achieved with a smaller sample size.

D. Increasing the level of confidence increases the sample size required. For a fixed margin of​ error, greater confidence can be achieved with a larger sample size.

Answers

is this question from book or just asking about subject???

(20 points!!!)
Alanna is going shopping for Goggles and food.
The cost of Goggles is $15 and the cost of each food item is $5.
If Alanna can spend at most $55, how many food items can be purchased?


Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.


Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.


Explain what the solution means in the context of the word problem.

Answers

Answer:

(20 points!!!)

Alanna is going shopping for Goggles and food.

The cost of Goggles is $15 and the cost of each food item is $5.

If Alanna can spend at most $55, how many food items can be purchased?

Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.

Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.

Explain what the solution means in the context of the word problem.

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