Lines
AB
and
CD
are straight lines. Find x and y. Give reasons to justify your solutions.

Lines AB And CD Are Straight Lines. Find X And Y. Give Reasons To Justify Your Solutions.

Answers

Answer 1

Answer:

x = 18

y = 54°

Step-by-step explanation:

m<MON = 90° (given)

m<MOA = 72° (given)

m<AON + m<MOA = m<MON (Angle Addition Postulate)

m<AON + 72° = 90° (Substitution)

Subtract 72° from each side

m<AON = 90° - 72°

m<AON = 18°

m<AOD = 18° + 2x

m<BOC = 3x

m<AOD = m<BOC (vertical angles)

18 + 2x = 3x (Substitution)

Subtract 2x from each side

18 = 3x - 2x

18 = x

x = 18.

72° + y + 3x = 180° (angles on a straight line)

Plug in the value of x

72 + y + 3(18) = 180

72 + y + 54 = 180

126 + y = 180

Subtract 126 from both sides

y = 54


Related Questions

HELP ME PLZZZZZZZZZZ I WILL GIVE MORE POINTS AT THE END

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Answer: the answer is u [tex]\geq[/tex] 2

5+5 is what i can not even get it is hard

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Answer:

Step-by-step explanation:

10 plzz give me brainliest see ya

What is the chance of rolling two dice and the dice add up to six?

Answers

around 13% chance

Step-by-step explanation:

Wait so add 25.50 +25.50

Answers

Answer:
25.50 +25.50= 51

Write 50,000+1,000+200+60+3 in standard form

Answers

51260 is the answer

In regard to exercise, which of the following statements about safety consideration is correct?
A.
In hot weather, exercising between 10 a.m. and 4 p.m. is best.
B.
Exercising at 100% of your maximum heart rate is best.
C.
Exercising one hour before eating is best.
D.
Remaining well-hydrated while exercising is best.

Answers

Answer:

its D just took the test

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

help:) Factor f(x) = 4x^3+ 23x^2- 70x + 16 into linear factors given that - 8 is a zero of f(x).

Answers

Answer:

(x + 8)(x - 2)(4x - 1)

Step-by-step explanation:

Given that x = - 8 is a zero then (x + 8) is a factor

Divide f(x) by (x + 8) using Synthetic division

- 8 | 4    23    - 70    16

        ↓  - 32      72   - 16

      ---------------------------------

        4    - 9       2       0

Quotient = 4x² - 9x + 2 = (x - 2)(4x - 1)

Thus

f(x) = (x + 8)(x - 2)(4x - 1)

 

$6,000 is invested in an account at interest rate r, compounded continuously. Find the time (in years) required for the amount to double when r= 9.5% and when r=2.5%.

Answers

Answer: When r= 9.5% , time = 7.3 years

When r= 2.5% , time = 27.7 years

Step-by-step explanation:

Exponential equation for compounded continuously:

[tex]A=Pe^{rx}[/tex] , where P= Principal value invested , r= rate of interest, x= time

Given : P= $6,000

A = 2P= 2 ($6,000) = $12,000  (i)

When r= 9.5%= 0.095

[tex]A= 6000e^{0.095x}[/tex]  (ii)

From (i) and (ii)

[tex]6000e^{0.095x}=12000\\\\\Rightarrow\ e^{0.095x}=2\\\\\Rightarrow\ \ln e^{0.095x} =\ln 2\\\\\Rightarrow\ 0.095x=0.693147\\\\\Rightarrow\ x=\dfrac{0.693147}{0.095}=7.296284210\approx7.3 \text{ years}[/tex]

For r= 2.5% = 0.025

[tex]6000e^{0.025x}=12000\\\\\Rightarrow\ e^{0.025}=2\\\\\Rightarrow\ \ln e^{0.025x} =\ln 2\\\\\Rightarrow\ 0.025x=0.693147\\\\\Rightarrow\ x=\dfrac{0.693147}{0.025}=27.72588\approx27.7 \text{ years}[/tex]

HELP ME!!
The number of tiktoks celia can make varies directly with the numbers of hours she spends making them. She can make 8 tiktoks in 1/2 an hour. How many tiktoks can she make in 3 hours?

Answers

Answer:

She can make 48 in 3 hours.

Step-by-step explanation:

Step-by-step explanation:

3*1/2=equivalent to an hour and 5 minutes which she would do would be about 48

69 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be
given to the second-place finisher, and a bronze medal is to be given to the third-place finisher.
Assume that there are no ties. In how many possible ways can the 3 medals be distributed?

Answers

Answer:

The order of finishing is important here, therefore you use permutations rather than combinations.  Athlete A winning a gold medal, athlete B silver, and athlete C bronze is not the same as athlete A bronze, athlete B silver and athlete C gold for instance

69P3 = 69! / (69 -3!)

Step-by-step explanation:

z varies jointly with y and the square of x.If z= 252 when y= -7 and x= -3 , find z when x = -2 and y= 2​

Answers

Answer:

z varies jointly with y and the square of x.If z= 252 when y= -7 and x= -3 , find z when x = -2 and y= 2

The Jones family has a monthly income of $6,500. The budgeted the following: Retirement savings $700, Emergency savings $550, and Housing expenses $1,300. Which of the following shows the percentage of income used for housing expenses

Answers

Answer:

1867

Step-by-step explanation:

took the test

8,900 incoming freshman to a university take an entrance exam, with the top 10% being offered admission to the university's honors program. The average test score is 78%, with a standard deviation of 11%. Use a calculator to find what the student must score to be invited to join the honors program if only 65 scores are looked at to determine the honors admissions requirement.

Answers

Answer:

The student must score 79.75% to be invited to join the honors program.

Step-by-step explanation:

Let X denote the score of a freshman in the entrance exam.

It is provided that the average test score is 78%, with a standard deviation of 11%.

It is provided that the top 10% being offered admission to the university's honors program.

Let x denote the score eligible for being offered admission to the university's honors program.

Then, P (X ≤ x) = 0.90.

Then P (Z < z) = 0.90.

The corresponding z-score is, 1.28.

*Use a z-table.

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n}}\\\\1.28=\frac{x-78}{11/\sqrt{65}}\\\\x=78+(1.28\times \frac{11}{\sqrt{65}})\\\\x=79.75\%[/tex]

Thus, the student must score 79.75% to be invited to join the honors program.

I WILL GIVE BRAINLIEST!!

Answers

Answer:

35

Step-by-step explanation:

find the missing value for each of the following 3 questions


1. 5% of 60 is _____


2. 40% of 500 is _____


3. 75% of 60 is ______

Answers

Answer:

1. 3

2. 200

3. 45

Step-by-step explanation:

You can run 10 miles in 80 minutes. How far can you run in 2.5 hours?

Answers

Answer:

18.75 miles

Step-by-step explanation:

1 hour = 60 minutes

2.5 Hours = 150 minutes

10 miles _____> 80 minutes

x_______> 150 minutes

x= ( 150 * 10) / 80

= 1500/80

x= 18.75 miles

easy

Answer:

Step-by-step explanation:

10 miles- 80 minutes

            ?- 150 minutes

1500+80x

X= 10.75 miles

You deposit $480 each week into an account earning 4.5% interest compounded weekly.

a) How much will you have in the account in 30 years?

b) How much total money will you put into the account?

c) How much total interest will you earn?

Answers

Answer:

Result:

The amount is $7763.37 and the interest is $4263.37.

Step-by-step explanation:

Problem:

If you deposit $3500 into an account paying 10% annual interest compounded monthly , how much money will be in the account after 8 years?

find if the series converges conditionally, converges absolutely, or diverges ∑k=1 ∞ (k^2k 3^k)/k!

Answers

Answer:

Diverges

Step-by-step explanation:

Using the ratio test to test the series:

∠2 is congruent to angle?
a.) ∠3 w
b.)∠4 N

Answers

Answer:

Angle 2 is congruent to angle 4.

Step-by-step explanation:

A straight line equals 180 degrees. If the angle is not a right angle (90 degrees), two angles next to each other on the same line can not be equal. That is why angle 3 is not the answer.

Angle 3 = Angle 1 ; Angle 2 = Angle 4

Angle 1 + Angle 2 + Angle 3 + Angle 4 = 360 degrees

I hope this helped you! If it did, please consider rating my answer, pressing thanks, and marking as Brainliest. Have a great day!

B) Angle 4. Hope this helps!!

Need help i don't get it

Answers

-3

Step-by-step explanation:

It looks like they give us the x and want to know which other x has the same point on the same y

I WILL MARK BRAINLIST

Answers

Answer:

The answer is D

Step-by-step explanation:

Lisa and Rachel want to determine their muscular endurance, but they don't have access to a gym or any weight-lifting equipment. What can they use?
A.
maxing out method
B.
percent of 1 RM method
C.
calisthenic method
D.
absolute method

Answers

Answer:

C- calisthenic method

Step-by-step explanation:

In the absence of the weight-lifting equipment, it is also possible to measure the muscular endurance by the use of the calisthenic method.

What is muscular endurance?

The term muscular endurance has to do with the ability of a muscle to undergo a strenous activity repeatedly without being fatigued. It is common to measure muscular endurance by the use of weight-lifting equipments.

In the absence of the weight-lifting equipment, it is also possible to measure the muscular endurance by the use of the calisthenic method.

Learn more about calisthenic method: https://brainly.com/question/13037898

#SPJ2

Ricky Bobby wants to buy a new automobile for $55,000 in 8 years. How much money must Ricky's original investment be if he makes a single deposit into an account with monthly compounding and an annual interest rate of 3.90% in order to reach his goal? Round your answer to the nearest cent.

Answers

Answer:

PV= $40,279.36

Step-by-step explanation:

Giving the following information:

Number of periods= 8*12= 96 months

Interest rate= 0.039/12= 0.00325

Future value (PV)= $55,000

To calculate the initial investment, we need to use the following formula:

PV= FV/(1+i)^n

PV= 55,000 / (1.00325^96)

PV= $40,279.36

I NEED ANSWER ASAP PLEASE
NEED HELP

Answers

That’s all I know, I’m not that smart when it comes to math

What is the y-intercept of y= 1/5x - 3

Answers

Answer:

-3

Step-by-step explanation:

Slope-intercept form:

y = mx + b

y = 1/5x - 3

m = slope = 1/5

b = y-intercept = -3

The perimeter of a triangle is 17x-5 units. One side is 3.x + 5 units and another is 8x-3 units. How many units long is the third side?

Answers

Answer:

C = 6x - 7 units

Step-by-step explanation:

Let the three sides of the triangle = A, B, and C respectively.

Given the following data;

Perimeter of triangle, P = 17x-5 units

Side A = 3x+5 units

Side B = 8x-3 units

To find side C?

The perimeter of a triangle is given by the addition of all its three (3) sides.

Mathematically, the perimeter of a triangle is given by the formula;

P = A + B + C

Making "C" the subject of formula, we have;

C = P - A - B

Substituting into the equation, we have

C = 17x - 5 - (3x + 5) - (8x - 3)

C = 17x - 5 - 3x - 5 - 8x + 3

Collecting the like terms, we have;

C = 17x - 3x - 8x - 5 - 5 + 3

C = 6x - 7 units

Therefore, the third side is 6x - 7 units long.

Find the equation of the line parallel to y=3x+5 that passes through (0,4) y=3x+4

Answers

Y=3x+4 is the line parallel to y=3x+5

y=x+5 and y=3x-3 I need to get this in a ordered pair

Answers

9514 1404 393

Answer:

  (x, y) = (4, 9)

Step-by-step explanation:

Perhaps the ordered pair you want is the one that satisfies both equations.

We can find that by equating the expressions for y:

  x +5 = 3x -3

  8 = 2x . . . . . . . . add 3-x to both sides

  4 = x . . . . . . . . . divide by 2

  y = 4+5 = 9

The ordered pair is (x, y) = (4, 9).

Please help me with all 3, I will mark brainliest as long as u tell me how u got those answers

Answers

1- (2,7) x values are not repeated

2-(3,4) bc the x none of the x values are the same, so it makes a function

3-(7,1) the same ^^

Nancy invested $750 per month in a 401k that earned 6% annual return for 30 years. Alex
invested $1,500 per month in a 401k that also earned 6% annual return, but for 15 years. Which
of the following would be true?
Nancy's balance would be greater than Alex's in the end.
O Nancy's balance is $4,308 and Alex's balance is $3,595.
O Alex's balance would be greater than Nancy's in the end.
The investment and balance would be the same in the end.

Answers

Answer:

A and B

Step-by-step explanation:

Nancy's balance:

750*(1 + 0.06)^30 = $4308 rounded to whole number

Alex's balance:

1500*(1 + 0.06)^15 = $3595 rounded to whole number

Options:

A. Nancy's balance would be greater than Alex's in the end.

Correct

B. Nancy's balance is $4,308 and Alex's balance is $3,595.

Correct

C. Alex's balance would be greater than Nancy's in the end.

Incorrect

D. The investment and balance would be the same in the end.

Incorrect
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