Find the measure of the (2y-1)° angle

Find The Measure Of The (2y-1) Angle

Answers

Answer 1

Answer:

69 degrees

Step-by-step explanation:

1) Find x

The angles measured x degrees and (x-28) degrees have a sum of 180 degrees because straight lines always have a measure of 180 degrees. Knowing this, construct the equation:

[tex]x+x-28=180\\2x-28=180[/tex]

Add 28 to both sides

[tex]2x-28+28=180+28\\2x=208[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}= \frac{208}{2} \\x= 104[/tex]

Therefore, x is equal to 104 degrees.

2) Find the measure of the (x-28) degree angle

Plug x into x-28

[tex]x-28\\= 104-28\\= 76[/tex]

Therefore, the measure of this angle is 76 degrees.

3) Find y

All the interior angles in any triangle will add up to 180 degrees. Knowing this, we can construct another equation:

[tex](2y-1)+76+y= 180[/tex]

Open up the parentheses

[tex]2y-1+76+y= 180\\3y+75= 180[/tex]

Subtract both sides by 75

[tex]3y+75-75=180-75\\3y=105[/tex]

Divide both sides by 3

[tex]\frac{3y}{3}= \frac{105}{3} \\y=35[/tex]

Therefore, y is equal to 35 degrees.

4) Find the measure of the (2y-1) degree angle

Plug y into 2y-1

[tex]2y-1\\= 2(35)=1\\= 70-1\\= 69[/tex]

Therefore, y is equal to 69 degrees.

I hope this helps!


Related Questions

1. To the nearest hundredth, what is the value of x?

Answers

Answer:

41.51

Step-by-step explanation:

cos(41)=x/55

x=cos(41)*55≈41.51

i think the answer is option b

2 elephants and 15 tigers plus 4 elephants equal?

Answers

Answer:

6 elephants + 15 tigers

Step-by-step explanation:

(Im assuming that the animals are meant to be variables)

X = elephants, y = tigers

2x + 15y + 4x

Combine like terms: 2x + 4x +15y

Simplify: 6x + 15y

Number 7 please help 10 points no links pleAse

Answers

Answer:

Option C : 25

Step-by-step explanation:

Given,

Number of rainy days = 18

Number of cloudy days = 14

Number of sunny days = 29

Therefore,

Number of days either sunny or cloudy = 14 + 29 = 43

So,

Number of more days sunny or cloudy than rainy are

= 43 - 18 = 25

Hence,

Option C 25 is the correct answer.

Which two of the following numbers are rational?

​1/3
.10


√2

Answers

Answer:

1/3, 0.10

Step-by-step explanation:

Rational numbers can be expressed as a fraction of two integers.

1/3 is rational. When it is expressed as a fraction, it's 1/3. 1 is an integer, and 3 is an integer

0.10 is rational. It can be rewritten to be expressed as the fraction 1/10; 1 is an integer, and 10 is an integer.

.[tex]\pi[/tex] is irrational, because when expressed as a fraction, it is 1/[tex]\pi[/tex]. 1 is an integer, but [tex]\pi[/tex] is not. Both numbers need to be integers in order to be rational. Therefore, it is irrational

√2 is irrational. When expressed as a fraction, it's √2/1. √2 is not an integer. 1 is an integer. However, both numbers have to be integers in order to be rational. Therefore, √2 is not rational.

Neeed help please???????!!!!!!

Answers

Arc HKJ for one but I do known abt 2

13

Find the percent of change in the time to run a

mile from June to September. Round to the

nearest tenth of a percent. (Hint, make sure

change each to seconds first!)

7:45

(5:57

June

September

Answers

Answer:

23.225%

Step-by-step explanation:

Runtime in June (x1) = 7:45 = (7 * 60) + 45 = 465

Runtime in September (x2) = 5:57 = (5*60)+57 = 357

Percentage change in Runtime :

[|x2 - x1|÷ x1] * 100%

[|357 - 465| ÷ 357] * 100%

108 / 465 * 100%

0.23225 * 100%

= 23.225%

PLEASE HELP I NEED THIS IS DUE IN AN HOUR!!! 40 POINTS!!!Sherelle and Venita’s grandmother said that one of the bags has a coin from 1916. What reasons might Sherelle give for saying that the 1916 coin is most likely in her bag? What reasons might Venita give for saying that the 1916 coin is most likely in her bag? Whose bag do you think is more likely to contain the 1916 coin? Explain your reasoning. Answer:

Answers

Answer:

I dont know about Sherelle, but Venita's grandmother can give a reason that as she is from older age, most probably, the coin can be in her bag...... And the coin, according to me will be in grandmother's bag....

Hope it helps!!!

The height of a cylinder is 8 centimeters. The circumference of the base of the cylinder is 14 pi. What is the measurement of the volume of the cylinder in cubic centimeters? Round to the nearest tenth.

Answers

Answer:

15

Step-by-step explanation:

HELP ASAP TIMED!!!!!!!!!!!!!!!

Answers

Answer:

x = 12.3

y = 15.9

Step-by-step explanation:

Apply trigonometric ratio to find x and Reference angle = 51°

Opposite side length = x

Adjacent side length = 10

Hypotensive length = y

✔️To find x, apply TOA:

Tan 51° = Opp/Adj

Tan 51° = x/10

x = Tan 51° × 10

x = 12.3 (nearest tenth)

✔️To find y, apply CAH:

Cos 51° = Adj/Hyp

Cos 51° = 10/y

y × Cos 51° = 10

Divide both sides by Cos 51

y = 10/Cos 51

y = 15.9 (nearest tenth)

A spinner is evenly divided into 9 sections and numbered from 1 through 9. What is the probability of spinning a number less than 5 in a single spin?

Answers

Answer:

2

Step-by-step explanation:

Count the spins

IM GIVING BRAINLIEST!!!PLEASE HELP!!!

Answers

The answer is C (2,-4).

The answer is C aka answer 3

HELP ME ASAP!!!!!!!


WINNER GETS BRAINLIEST, THANKS AND A STAR RATING OF EXCELLENT!!!!!!!


Please friend request me and I'll accept

Answers

Answer:

3hours and 30 minutes moving and 2 and a half hours stationary

Step-by-step explanation:

1 hour + 30 minutes + 1 hour + 30 minutes + 30 minutes for moving

1 hour + 1 hour + 30 minutes for stationary.

for brainiest:):):):):):):):):)

Answers

Answer:

1=80%

2=44%

3=11%

4=15

5=30%

6=21%

7=2%

8=9%

Step-by-step explanation:

Hopefully they are all correct but I tried my best

The function f(x) = -5x² + 20x + 55 models the height of a ball x seconds after it is thrown into the air. What is the total time that the ball is in the air?

Answers

Answer:

The ball is in the air for about 5.873 seconds.

Step-by-step explanation:

The function:

[tex]f(x)=-5x^2+20x+55[/tex]

Models the height of a ball x seconds after it is thrown in the air.

And we want to find the total time the ball is in the air.

So, we can simply find the time x at which the ball lands. If it lands, its height f above the ground will be 0. Thus:

[tex]0=-5x^2+20x+55[/tex]

We will solve for x. Dividing both sides by -5 yields:

[tex]0=x^2-4x-11[/tex]

The equation is unfactorable, so we can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 1, b = -4, and c = -11. So:

[tex]\displaystyle x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-11)}}{2(1)}[/tex]

Evaluate:

[tex]\displaystyle\begin{aligned} x&=\frac{4\pm\sqrt{16+44}}{2}\\&=\frac{4\pm\sqrt{60}}{2}\\&=\frac{4\pm2\sqrt{15}}{2}\\&=2\pm\sqrt{15}\end{aligned}[/tex]

Approximate:

[tex]x_1=2+\sqrt{15}\approx5.873\text{ or } x_2=2-\sqrt{15}\approx-1.873[/tex]

Since time cannot be negative, our only solution is the first choice.

So, the ball is in the air for about 5.873 seconds.

round the number 2788.32 to the nearest whole number

Answers

2788 would be the answer since 0.32 would round down so its 2788

what is the circumference of
d= 7yd
c = ?

Answers

Answer: 7pi

Step-by-step explanation:

To find the circumference do radius (d/2)*2*pi

substitute 7*pi

7pi

Please help!!!!!!!!!!!!!!!

Answers

Answer:

4 if not im SUPER sorry!!!!!!!!

Step-by-step explanation:

987 mm = ___ cm
hurry i need help.​

Answers

Answer:

987 milmeters equal to 98.7 centimeters

Step-by-step explanation:

To figure these kinds of problems divide the millimeter by 10 and you will get the centimeter value.

Hope that helps!

What are roots of quadratic equations?​

Answers

Answer:

Here's a link that I found that was helpful to me: http://www.biology.arizona.edu/biomath/tutorials/quadratic/roots.html#:~:text=Roots%20are%20also%20called%20x%2Dintercepts%20or%20zeros.&text=The%20roots%20of%20a%20function,%2B%20bx%20%2B%20c%20%3D%200.

Step-by-step explanation:

!!HELP ME PLEASE I CANT MISS ANYMORE!!
Which graph shows an even function?
*click the image*

Answers

The graph that shows an even function is the fourth image.

What is an Even Function?

This refers to the type of function where f(x)=f(−x) has an unchanged value even if the sign of the independent variable was in reciprocals.

Hence, we can see that from the given images of graphs, we can see that the other options do not have a symmetrical axis with respect to the y-axis, but option D has symmetry with the y-axis.

Read more about even functions here:

https://brainly.com/question/3964641

#SPJ2

5x/7-5=50 plsssssssssss noBOTS

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: x=77

Explanation:

5x/7 - 5 = 50

5x/7 = 55

5x = 385

x = 77

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

5x/7 - 5 = 50

5x/7 = 50+5

5x/7=55

5x=55x7

5x = 385

x=385/5

x=77

URGENT I NEED ANSWER WITH WORK
All the students in the 6th grade either purchased their lunch or brought their lunch from home on monday. 24% of students purchased lunch and 190 students brought lunch from home. How many students are in the 6th grade?
a 76
b 166
c 214
d 250

Answers

Answer: 250 students.
Step-by-step explanation:
Let x students in 6th grade either purchased their lunch or brought their lunch from home on Monday.
According to the question,
24% of the students purchased their lunch.
⇒ (100-24)% of the student brought their lunch from home.
⇒ 76 % of the student brought their lunch from home.
But, Again according to the question,
190 students brought their lunch from home.
⇒ 76 % of x = 190

⇒ x = 250
Therefore, there are total 25 students in the 6th grade.

Which equation best represents the data in the function table

Answers

Answer:

y = x² + 1

Step-by-step explanation:

y = x² + 1

When x = -3

y = -3² + 1

y = 9 + 1 = 10

When x = -1

y = x² + 1

y = -1² + 1

y = 1 + 1 = 2

When x = 0

y = x² + 1

y = 0² + 1 = 1

When x = 2

y = x² + 1

y = 2² + 1

y = 4 + 1 = 5

All of the x and y values have been correct

Answer:

A

Step-by-step explanation:

the others will not produce the correct value for the image ((y)), if you replace the incognito x in the equation by the -3, you can see that you only obtain the result 10 for y in the first equation. you don't even need to test all the cases.

-3.-3 +1 = 10

-3.-3 + 2 = 11

-3.-3 -1 = 8

-3.-3 -3 = 6

needddddd helpppppp asapppp/ Necesitoooo ayudaaaaa rapidooo

Answers

Answer:

42 cm^2

Step-by-step explanation:

armyphobic

Suppose you travel 55 mi/h. How many hours would it take you to go 275 mi?

Answers

Answer:

5 hours

Step-by-step explanation:

275 mi/(55mi/h)=5h

or to put it simply 275/55=5

PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ.
30 POINTS AND BRANNIEST
( PLEASE SHOW WORK OR I MIGHT NOT GIVE BRAINIEST )

Answers

Answer:

3

Step-by-step explanation:

i dont know how to show the work i did it in my head

Yes or no???????????????

Answers

It is a right triangle.

yes, pythagorean theory a^2 + b^2 = c^2
36^2 + 77^2 = 7225
85^2 = 7225
(c is the biggest length)

Do not give me any links or files.
Find the surface area of a sphere with radius 9 using the formula SA=4nr2
Leave answer in terms of n
A. 20 n units2
B. 25 n units2
C. 100 n units2

Answers

Answer:

972 u³

Step-by-step explanation:

The radius is 9 . We can use formula ,

⇒ V = 4/3 π r³

⇒ V = 4/3 × π × 9³

⇒ V = 4 × π × 81 × 3

⇒ V = 972 unit³

A survey of 120 twelfth-graders finds that 36% were carrying more than $15 on the day of the survey. Use the margin of error to complete the following. Round to the nearest whole percent. An interval that will likely include the proportion of students in the population of twelfth-graders who carry more than $15 is ?

Answers

Answer:

An interval that will likely include the proportion of students in the population of twelfth-graders who carry more than $15 is 960

Step-by-step explanation:

For example, Condition 1: n(.05)≤N

• The sample size (10) is less than 5% of the population (millions of musicians), so

the condition is met.

• Condition 2: np(1-p)≥10

• =

2

10

= .2

• 1 − = 10 .2 1 − .2 = 1.6 . This is less than 10 so this condition is not

met.

It would not be practical to construct the confidence interval.

Whats 4 + 4 + 8 + 8 + 10 + 16 + 50 x 10 = ?

Answers

Answer:

550

4 + 4 + 8 + 8 + 10 + 16 + (50 x 10)

Step-by-step explanation:

Answer:

550 is the answer

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

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