In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third is 92° more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180° to find the measure of each angle.

The measure of the first angle is ______
The measure of the second angle is _____
The measure of the third angle is _______

Answers

Answer 1

Answer:

The measure of first angle is 44°.

The measure of second angle is 22°.

The measure of third angle is 114°.

Step-by-step explanation:

First, you have to form expressions for the 3 angles. Let second angle be x :

First angle = (2x)°

Second angle = x°

Third angle = (92 + x)°

Next, you have to add up altogether as the total angles in a triangle is 180° :

2x + x + 92 + x = 180

4x + 92 = 180

4x = 180 - 92

4x = 88

x = 88 ÷ 4

x = 22°

Lastly, you have to substitute the x-value into the expressions :

First angle = 2(22) = 44°

Second angle = 22°

Third angle = 92 + 22 = 114°


Related Questions

Need help on these two questions ♡​

Answers

Answer:

for question 5 it is the last option

for question 6 it is the 3rd option down

Step-by-step explanation:

What is the value of a in the proportion???? need help!!!

Answers

Answer:

90

Step-by-step explanation:

90-15/90= 5/6

90-15= 75

75/90= 83.3333 or 5/6

Factorise fully
-x - 8


please do quick! will mark brainiest!​

Answers

Answer:

-(x+8)

Step-by-step explanation:

-x - 8

-1 *x -1 * 8

Factor out a -1

-1(x+8)

-(x+8)

Answer:

-1(x+8)1(-x -8)

Step-by-step explanation:

[tex] - x - 8[/tex]

Factor out common term : -1

[tex] - 1(x + 8)[/tex]

2=10 3=18 4=28 6=54 then 8=?​

Answers

Answer:

72

Step-by-step explanation:

2*5=10

3*6=18

6*8=54

8*9=72

How many solutions does this equation have

2x + 1 = 2x – 1

Answers

Wait by x do you mean times or? If you don’t mean times then it’s 4x

what is the best classification for angle 1 and angle 3?

Answers

I think it is B but I ain’t sure. Sorry

Answer:

C not adjacent because adjacent angles are right next to each other. And <1 and <3 are not right next to each other.

Step-by-step explanation:

They are not vertical angles this is what vertical angles look like ><

They are not adjacent or a linear pair.

So it is C.

Solve problem:
8-6•4+10/2

Answers

Answer:

[tex]8 - 6 \times 4 + \frac{10}{2} \\ = 8 - 6 \times 4 + 5 \\ = 8 - 24 + 5 \\ = 8 + 5 - 24 \\ = 13 - 24 \\ = - 11[/tex]

it is 200% correct answer..

It helps you ☺️

Thank you ☺️

Plz help me it’s geometry

Answers

I can’t see the picture

Please answer this correctly without making mistakes

Answers

Answer: 96%

1 square represent 1%

Answer:

96 present

Step-by-step explanation:

Find the value of ×
[tex]3x + 2(x - 4) = 14[/tex]

Answers

Answer:

x = 22/5

Step-by-step explanation:

3x+2(x-4) = 14

Distribute

3x+2x -8 = 14

5x - 8 = 14

Add 8 to each side

5x-8+8 = 14+8

5x = 22

Divide by 5

5x/5 = 22/5

x = 22/5

This table gives a few (x, y) pairs of a line in the coordinate plane. What is the x-intercept of the line?

Answers

Answer:

(22,0)

Step-by-step explanation:

22 0

35 -15

48 -30

61 -45

74 -60

I don't understand calculus at all bruh :/. I figured out some of this but I don't know if the answer is 0 or 2. Whoever figures this, out also please explain how you got it.

Answers

Calculus isn’t that difficult. And that’s not to insult you or for me to brag. You just simply aren’t being taught correctly, assuming you’re trying.

The first step for ANY limit is to plug in. Always plug in first. You can take the odd root of a negative number because let’s say you have -1^3, you’re still gonna get -1. But if the power is even, you will always get a positive number. So plug in -32 to get the 5th root of -32. The answer would be -2 because -2^5 = -32

A business knew that 30%, percent of its customers were less than 25 years old. The business wanted to increase this percentage, so they created a marketing campaign that targeted this age group. After the campaign, the business obtained a random sample of 50 customers to test H_o:p=0.3 versus ​Ha :p > 0.3, where p is the proportion of this business's customers who are less than 25 years old after the marketing campaign. After the campaign, the business obtained a random sample of 50 customers and found that 18 of those sampled were less than 25 years old. What would be the P-value for their test?

Answers

Answer:

The answer is "0.9258201 or [tex]\bold{ \frac{0.36 -0.3}{\sqrt{\frac{0.3 \times 0.7 }{50}}}}[/tex]".

Step-by-step explanation:

[tex]\to P= 30 \ \%\\\\ \to x= 18 \\\\ \to n=50\\\\\\\hat p= \frac{x}{n} = \frac{18}{50} = 0.36 \\\\\bold{Formula:}\\\\X= \frac{\hat p -p}{\sqrt{\frac{p \times (1-p)}{n}}}\\\\[/tex]

    [tex]= \frac{0.36 -0.3}{\sqrt{\frac{0.3 \times (1-0.3)}{50}}}\\\\= \frac{0.36 -0.3}{\sqrt{\frac{0.3 \times 0.7 }{50}}}\\\\= \frac{0.36 -0.3}{\sqrt{\frac{0.21}{50}}}\\\\= \frac{0.06}{\sqrt{0.0042}}\\\\= \frac{0.06}{0.064807407}\\\\= 0.9258201[/tex]

Answer:

Step-by-step explanation:

what value is equivalent to 13 - 2(1 - 15) divided by 14

Answers

Answer:

15

Step-by-step explanation:

Following PEMDAS you would do the equation in the parentheses first.

1 - 15 = -14

13 - 2  ⋅ (-14) divided by 14

-2 ⋅ (-14) = 28

13 + 28 divided by 14

28 divided by 14 = 2

13 + 2 = 15

Your answer is 15

Hope I helped :)

Please consider Brainliest :)

find the values of the six trigonometric functions for angle theta in standard position if a point with the coordinates (1, -8) lies on its terminal side

Answers

Answer:

cosФ = [tex]\frac{1}{\sqrt{65}}[/tex] , sinФ = [tex]-\frac{8}{\sqrt{65}}[/tex] , tanФ = -8, secФ = [tex]\sqrt{65}[/tex] , cscФ = [tex]-\frac{\sqrt{65}}{8}[/tex] , cotФ = [tex]-\frac{1}{8}[/tex]

Step-by-step explanation:

If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:

cosФ = [tex]\frac{x}{r}[/tex]sinФ = [tex]\frac{y}{r}[/tex]tanФ = [tex]\frac{y}{x}[/tex]secФ = [tex]\frac{r}{x}[/tex]cscФ = [tex]\frac{r}{y}[/tex]cotФ = [tex]\frac{x}{y}[/tex]Where r = [tex]\sqrt{x^{2}+y^{2} }[/tex] (the length of the terminal side from the origin to point (x, y)You should find the quadrant of (x, y) to adjust the sign of each function

∵ Point (1, -8) lies on the terminal side of angle Ф in standard position

∵ x is positive and y is negative

→ That means the point lies on the 4th quadrant

∴ Angle Ф is on the 4th quadrant

∵ In the 4th quadrant cosФ and secФ only have positive values

∴ sinФ, secФ, tanФ, and cotФ have negative values

→ let us find r

∵ r = [tex]\sqrt{x^{2}+y^{2} }[/tex]

∵ x = 1 and y = -8

∴ r = [tex]\sqrt{x} \sqrt{(1)^{2}+(-8)^{2}}=\sqrt{1+64}=\sqrt{65}[/tex]

→ Use the rules above to find the six trigonometric functions of Ф

∵ cosФ = [tex]\frac{x}{r}[/tex]

∴ cosФ = [tex]\frac{1}{\sqrt{65}}[/tex]

∵ sinФ = [tex]\frac{y}{r}[/tex]

∴ sinФ = [tex]-\frac{8}{\sqrt{65}}[/tex]

∵ tanФ = [tex]\frac{y}{x}[/tex]

∴ tanФ = [tex]-\frac{8}{1}[/tex] = -8

∵ secФ = [tex]\frac{r}{x}[/tex]

∴ secФ = [tex]\frac{\sqrt{65}}{1}[/tex] = [tex]\sqrt{65}[/tex]

∵ cscФ = [tex]\frac{r}{y}[/tex]

∴ cscФ = [tex]-\frac{\sqrt{65}}{8}[/tex]

∵ cotФ = [tex]\frac{x}{y}[/tex]

∴ cotФ = [tex]-\frac{1}{8}[/tex]    

7y + 5 = 54 what is y

Answers

Answer:

7

Step-by-step explanation:

7x7=49+5=54

Answer:

y = 7

Step-by-step explanation:

Alrighty, here we go!

First step is to subtract 5 from 5 and from 54. Cancel out the 5's.

After doing so, you have 7y = 49.

Now, divide 7 from 7y and from 49. Cancel out the 7's.

Now you have y = 7

There is your answer!

Mark brainliest if possible please :)

A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 19 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of 65 screws. The sample mean screw length was 19.04 centimeters. The population standard deviation is known is known to be 0.19 centimeters. What is the null hypothesis and what is the alternative hypothesis?

Answers

Answer:

Step-by-step explanation:

Ok

Answer:

A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than  11 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 76 bolts. The sample mean bolt length was 11.09 centimeters. The population standard deviation is known to be 0.29 centimeters.

What is the test statistic ?

What is the -value?

Does sufficient evidence exist that the length of bolts is actually greater than the mean value at a significance level of

PLEASE HELP(I’ll mark your answer as the Brainiest! & 11points) can someone please do numbers 1-3 Find the angle measure. Tell which postulate or theorem you use, thank you in advance!❤️

Answers

Answer:

1. m<5 = 114

2. m<6 = 68

3. m<2 = 64

Step-by-step explanation:

Question 1:

<1 = <4 because of Vertical Angles Theorem

< 4 = <5 because of Alternate Interior Angles Theorem

Hence, <1 = <5

Since m<1 = 114: m<5 = 114.

Question 2:

<3 = <6 because of Alternate Interior Angles Theorem

Since m<3 = 68: m<6 = 68

Question 3:

<2 = <7 because of Alternate Exterior Angles Theorem

Since m<7 = 64: m <2 = 64

Hope this helped! If not, let me know! <3

Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student scored on the high school SAT math exam and their​ grade-point averages​ (GPAs) after students were in the Sante Fe program for 2 years.
Student A B C D E F G
SAT Score 421 375 585 693 608 392 418
GPA 2.93 2.87 3.03 3.42 3.66 2.91 2.12
Student H I J K L M
SAT Score 484 725 506 613 706 366
GPA 2.50 3.24 1.97 2.73 3.88 1.58
The​ least-squares regression equation that shows the best relationship between GPA and the SAT score is:_____.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

SAT SCORE :

421

375

585

693

608

392

418

484

725

506

613

706

366

GPA:

2.93

2.87

3.03

3.42

3.66

2.91

2.12

2.50

3.24

1.97

2.73

3.88

1.58

Using the online linear regression calculator ; the regression model obtained is :

ŷ = 0.00345X + 1.00301

0.00345 = slope or gradient

1.00301 = intercept ; where the regression line crosses the y axis

X = independent variable or predictor variable ; y = dependent variable or predicted variable

32 students play basketball and 25 Students play
volleyball . It is found that 13 students play both
games. Find the number of students playing at least
one game
dotos numbers Sets
n
و​

Answers

No. of students playing at least one game = 44
Step-by-step explanation:
B = basketball; V = volleyball
n(B) = no of students playing only B
n(V) = no. of students playing only V
n(B∩V) = no. of students playing both B and V
Now:
32 students play basketball. Some of them could also be playing volleyball. Hence, the number of students playing only basketball will be 32 minus those that play both.
n(B) = 32 - 13 ............(Given that 13 play both games)
n(B) = 19
Similarly,
25 students play volleyball. Some of them could also be playing basketball. Hence, the number of students playing only volleyball will be 25 minus those that play both.
n(V) = 25 - 13
n(V) = 12
Thus, we have 19 students playing only B, 12 students playing only V and 13 students playing BOTH.
Clearly, the number of students that play at least one game is:
No. of students playing ONLY basketball +
No. of students playing ONLY volleyball +
No. of students playing BOTH
This can be given as:
n(B) + n(V) + n(B∩V)
= 19 + 12 + 13
= 44

Answer:

44 students

Step-by-step explanation:

Given parameters:

Number of students playing basketball = 32

Number of students playing volleyball = 25

Number of students playing both = 13

Unknown:

Number of students playing at least one game = ?

Solution:

Let us first find the number of students that play basketball only and volleyball only.

Number of students playing basketball only = 32  - 13  = 19

Number of students playing volleyball only = 25 - 13  = 12

So,

Least number of students that play at least one game  = number of students that plays basketball only + number of students that plays volleyball only + number of students that plays both;

     = 19 + 12 + 13  

      = 44 students

Name the slop and one point that is on the line represented by the equation: y + 3 = -1/2(x +7)

Answers

Answer:

The slope is -1/2 and a point on the line is ( -7,-3)

Step-by-step explanation:

y + 3 = -1/2(x +7)

This is in point slope form

y - y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line

y - -3 = -1/2(x - -7)

The slope is -1/2 and a point on the line is ( -7,-3)

Suppose y = 2x – 2.5. Find x if y = 10.

Answers

10=2(6.25)-2.5 x would equal 6.25

How many solutions does the equation have?
3(d+11) = 6(d +33)
O 0
O 1
O infinitely many

Answers

9514 1404 393

Answer:

  1 solution

Step-by-step explanation:

The coefficients of d are different on the two sides of the equation (3d vs 6d), so the equation has one solution.

__

Dividing by 3 gives ...

  d +11 = 2(d +33)

  d + 11 = 2d + 66

Adding -d-66 to both sides gives ...

  -55 = d . . . . . . the one solution

Answer:

The answer is B

Step-by-step explanation:

i took the test and 1 was correct so.

m. 2.7(2x + 3) –4.6 n. 2 3 (12 + 15z) – 4 1 2 z o. 9 10 + 1 4 ( 2 3 v+ 2 5 )–1

Answers

Answer:

go on

Step-by-step explanation:

math,way, ., com

HELLLPP!!!! Jake's regular hourly wage is $14.15 after working 40 hours in a week he gets paid overtime which is a pay and a half if Jake worked for 58 hours what will his weekly gross income be

Answers

I think you need to figure out how much he makes an hour first then its very easy from there.
ANSWER- For 58 hours Jake makes $820.70 for his income.

So how you would solve this word problem you would have to first see what your starting with, in the begging it mentioned that he gets paid [$14.15 and hour] and he worked for 40 hours, (multiple it) you get $566.0)

Then it says to see answer how much Jake makes in 58 hours, (now remember it mentioned how much he makes in an hour) so you just had to multiply 14.15 x 58= 820.70

Jillian is at her favorite clothing store and has found a pair of pants that are on sale for 20% off the regular price. They
are regularly $28. How much will be taken off the price?
$4,60
$8.00
$6.00
$5.60

Answers

$5.60 is correct. Multiply $28 by .20

Answer:

5.60 it answer D hope it helps ~••~

Divide the number 484 into two parts in a ratio of 7 : 4. How much bigger is the first number than the second number?

Answers

Answer:

I don't known

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

First, obtain the total of the ratio:

7+4 = 11

Then, make equations:

[tex]\frac{7}{11} =\frac{x}{484}[/tex]      and     [tex]\frac{4}{11} =\frac{x}{484}[/tex]

Next, solve:

11x = 7*484   →    11x = 3388    →    x = 308

11x = 4*484   →    11x = 1936     →    x = 176

Finally, find the difference:

308 - 176 = 132

(**If it is asking how many times bigger... 308/176 = 1.75 or  [tex]\frac{7}{4}[/tex] )

A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 9.8 inches, and standard deviation of 1.6 inches. If 48 items are chosen at random, what is the probability that their mean length is greater than 9.2 inches

Answers

Answer:

0.6462

Step-by-step explanation:

Given that

Mean (m) = 9.8

Standard deviation (s) = 1.6

Probability that mean length is greater than 9.2

Z = (x - m) / s

Z = (9.2 - 9.8) / 1.6

Z = - 0.6 / 1.6

Zscore = - 0.375 = - 0.375

P(Z >- 0.375) = 1 - P(Z < - 0.375) ;

P(Z < - 0.375) = 0.3538

1 - P(Z < - 0.38) = 1 - 0.3538 = 0.6462

Find the distance between each pair of points in the coordinate plane.
(3,-2) and (2,-1)​

Answers

Answer:

1.41

Step-by-step explanation:

* Pending
This map shows the organization that was
association of nearly 30 countrior

Answers

Where’s the map?? Or is this a part 2 to a question?
Other Questions
whyThy law is are impimportant 1. The Battle of Saratoga marked a turning point in the Revolutionary War because its outcome -A. inspired the British to fight harderA. , inspired the British to fight harderB. influenced France to lend support to the AmericansB. influenced France to lend support to the AmericansC. caused Britain and France to form an allianceC. caused Britain and France to form an allianceD. caused General Cornwallis to surrenderD. , caused General Cornwallis to surrender1. The Battle of Saratoga marked a turning point in the Revolutionary War because its outcome -A. inspired the British to fight harderB. influenced France to lend support to the AmericansC. caused Britain and France to form an allianceD. caused General Cornwallis to surrender here is a list of numbers.-45 -21 -16 12 33 40 Urbanization led to many of the ills of American society during the Progressive era.TrueFalse Whats the slope of (-8,2) (1,9) PLZ HELP DUE IN 20 MINSThe figure shows three quadrilaterals on a coordinate grid:Which of the following statements is true about the three quadrilaterals? (4 points) aD and E are similar but not congruent. bE and F are similar and congruent. cD and E are similar and congruent. dF and D are similar but not congruent. Suppose a signal from a vibrating motor is to be sampled discretely with a digital data acquisition system to determine the RPM of the motor. It is known that the maximum possible RPM is 1800. What is the minimum sampling frequency (in Hz) with which the signal can be sampled in order to measure the RPM of the motor sentenceA banquet hall charges $15 per person plus a $100 setup fee. The cost for x people is given by thefunctionf(x) = 100 + 15xFind F(1000)What does F(1000) mean within the context of the problem?(Hint start with your Independent x-value)Independent Dependent(X-Value) (Y-Value)NumericRepresentsP....Sentence:I Farley Inc. has perpetual preferred stock outstanding that sells for $50 a share and pays a dividend of $5.00 at the end of each year. What is the required rate of return? Round your answer to two decimal places. In what ways did racial segregation exist in the North in the eawrly decasdes of the Great Migration? In "Excerpt from Civil Disobedience'" Thoreau argues that citizens should do the right thing by challenging the unjust laws that exist. What does it mean to be a good citizen? Is it the same thing as being a good person? Draw on the article, your own experience, and other literature, art, or history in forming your answer. Hello this is my first question. Thanks very much if you answer. ^_^------------------------------------------------------------------------------------------------------------------------------------------2. What are the four water sources, referred to as "taps," that Sedlak believes will solve our urban water crisis? 3. Sedlak closes his talk by pointing out the benefits to creating and reinventing how we obtain our water supply. Discuss some of those benefits and explain how they relate to what you learned in the unit. four times the difference of a number and 71is 32 According to Article I of the Constitution, the legislative branch is made up ofO the House and the Senate.O federal agencies and the framers.O local courts and the Supreme Court.O Congress and the military. Those who argued for prison reformation based on religious viewpoints argued that which of the following was the best way to restore the moral balance of the soul?laborcounselingmediationsolitude Question 53 ptsIn 1995, you bought a baseball card for $50 that you expect to increase in value 5% eachyear for the next 10 years. Write an exponential growth equationandestimate the value of the baseball card in 2002 PLEASE HELP!!! (ANSWER APPROPRIATELY) Legacy of Roman CivilizationAll free citizens should be protected by lawGoverning by representatives of the peopleTrial by juryWhich trait of classical Roman political thought could be added to the list?O Veto powerDemocratic electionsO Checks and balancesO Universal suffrage can you figure out the missing number The largest angle formed during his trip is_____. At his home. At the mall. Between the mall and the library. Between his home and the library.