Determine if the angles are vertical, complementary, or supplementary, and then solve for x. *
x=5
x=16
x=14
x=45

Determine If The Angles Are Vertical, Complementary, Or Supplementary, And Then Solve For X. *x=5x=16x=14x=45

Answers

Answer 1

Answer:

x = 14

Step-by-step explanation:

___________________________________________________________

FACTS TO KNOW :-

Linear Pair is a pair of adjacent angles on a straight line whose sum is 180°All linear pairs are supplementary angles (because their sum is 180°) but all supplementary angles are not linear pairs.

___________________________________________________________

In the question , the given angles are supplementary angles because both (3x)° & (7x + 40)° are adjacent to each other and they are on a straight line.

As they are supplementary angles , their sum will be 180°.

So ,

[tex](3x) + (7x + 40) = 180[/tex]

[tex]=> 3x + 7x + 40 = 180[/tex]

[tex]=> 10x + 40 = 180[/tex]

Substracting 40 from both the sides ,

[tex]=> 10x + 40 - 40 = 180 - 40[/tex]

[tex]=> 10x = 140[/tex]

Dividing both the sides by 10 ,

[tex]=> \frac{10x}{10} = \frac{140}{10}[/tex]

[tex]=> x = 14[/tex]


Related Questions

Write 1/4 as a fraction with 8 as the denominator. Then add the fraction to 3/8. What is the sum? Write the fractions and the answer.

Answers

Answer:

2/8, 5/8

Step-by-step explanation:

[tex]\frac{1}{4}*\frac{2}{2} =\frac{2}{8} \\\\\frac{3}{8} +\frac{2}{8} =\frac{5}{8}[/tex]

Multiplying by 2/2 is like multiplying by 1, so it doesn't affect the value.

To add fractions with the same denominator just add the numerator, the denominator stays the same.

The fraction is 2/8 and the sum is 5/8.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

let the numerator be x when denominator is 8.

so, 1/4 = x /8

8 = 4x

x= 8/4

x= 2

Now, fraction resulted above is added with 3/8

2/8 + 3/8

= (2+3)/8

= 5/8

Hence, the sum is 5/8.

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ2

A carpenter is building a bookcase of height h, length 2h, and width w. The bookcase has two shelves. The plywood to be used for the back costs $1.50 per square foot. The top, bottom , sides, and shelves will be made of pine costing $5 per square foot. Write an equation expressing the total cost of the materials.

Enter your answer in the form: C = ahb + chw, where a, b, c are integers.

Answers

Answer:

3h² + 35hw ;

a = 3 ; b = 2 ; c = 35

Step-by-step explanation:

Given that :

Dimension of bookcase :

Height = h ; Length = 2h ; width = w

Area of backside :

Height * length

h * 2h = 2h²

Cos of back material = $1.5 per ft²

Cost = 1.5 * 2h²

Cost = 3h²

Top and bottom :

Length * width

2h * w

Side area = 3 * h * w

Total area : Top + bottom +. Side

Total area : 2hw + 2hw + 3hw = 7hw

Pine = $5 per sq foot

Total cost = $5 * 7hw

= $35hw

Entire cost, C

3h² + 35hw

From the format :

ah^b + chw,

a = 3 ; b = 2 ; c = 35

1. Given: Angle 2 is 65 degrees.

(a) What is the angle measurement of Angle 4. Explain the angle relationship used and show your work.
(b) What is the angle measurement of Angle 7. Explain the angle relationship used and show your work.
(c) What is the angle measurement of Angle 3. Explain the angle relationship used and show your work.

Answers

Answer:

Part A. Angle 4 is 115         Part B. angle 7 is 65        Part C angle 3 is 65

Step-by-step explanation: Part A. Is a corresponding angle of 1 and 4         Part B. alternate exterior angle of 2      Part C. corresponding angle of 7

-0.5 how do I write the repeating decimal as a fraction?​

Answers

Answer:

-1/2

Step-by-step explanation:

which fraction is 16/64 in lowest terms

PLEASE SHOW HOW U DID UR PROBLEM

Answers

Answer:

16/64 simplified to lowest terms is 1/4

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 16 and 64 is 16

Divide both the numerator and denominator by the GCD

16 ÷ 16

64 ÷ 16

Reduced fraction:  

1/ 4

Answer:

1/4

Step-by-step explanation:

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 16 and 64 is 16

Divide both the numerator and denominator by the GCD

16 ÷ 16

64 ÷ 16

Reduced fraction:

1 / 4

Therefore, 16/64 simplified to lowest terms is 1/4.

what duos e=mc² mean

Answers

Answer:

energy equals mass times the speed of light squared

Step-by-step explanation:

Energy equals mass times the speed of light squared

explanation : Albert Einstein was the one who made that!

PLSSSSSSS HELP ME WITH THESE FOUR QUESTIONS (•‿•)








Answers

Q1- Right 3 Down 9
Q2- Left 9 Down 9
Q3- Up 6
Q4- Up 18

Answer:

1. C

2. A

3. C

4. A

Step-by-step explanation:

first time taking a picture but some one help me, this is the last question and I want to die.​

Answers

Answer:

Step-by-step explanation:

what is 8 equitation 2+3(36 divided by 6) -2

Answers

Answer:

18

Step-by-step explanation:

2+3(36/6)-2 = 2+3(6)-2 = 2+18-2 = 18

Answer:

18

I don't know what that 8 is about but if you want to solve the equation here is the answer

Step-by-step explanation:

2+3(36/6)-2

2+3(6)-2

2+18-2

18

Answer: 18

Find the volume of a rectangular prism with dimensions 21 in. by 20 in. by 19 in., to the nearest hundredth cubic foot

Answers

Answer:

The dimensions of a rectangular prism are 21 in. by 20 in. by 19 in.

To find:

The volume of the rectangular prism.

Solution:

Let the length, breadth and height are 21 in, 20 in and 19 in respectively.

Volume of the rectangular prism is

[tex]V=Length\times Breadth\times Height[/tex]

[tex]V=21\times 20\times 19[/tex]

[tex]V=7980[/tex]

Therefore, the volume of the rectangular prism is 7980 cubic inches.

A local radio station conducted a survey about stay-at-home parents by randomly dialing home numbers on weekdays until responses from 500 adults were collected. Twenty-six percent of those who responded said they were stay-at-home parents. In reality, only four percent were actually stay-at-home parents at the time of the survey. Which of the following best explains the difference in the two percentages?

a. The difference is due to voluntary response. Adults are able to volunteer as members of the sample.
b. The difference is due to undercoverage bias. The survey included only adults with telephones.
c. The difference is due to response bias. Adults who are stay-at-home parents are likely to say they are employed outside the home.
d. The difference is due to sampling variability. We should not expect the results of a random sample to match the truth about the population every time.
e. The difference is due to nonresponse bias. Adults who are stay-at-home parents are more likely to be available for the sample than adults who are employed outside the home.

Answers

Answer:

The difference is due to nonresponse bias. Adults who are stay-at-home parents are more likely to be available for the sample than adults who are employed outside the home.

E on multiple choice

Step-by-step explanation:

can you find the measure of b plz

Answers

Answer:

b=53 degrees

Step-by-step explanation:

90 degrees - 37 degrees = 53 degrees

We want to cover the poster with small stamps. We don't have any to begin with and we can't buy partial bags of stamps. Each bag of stamps 110.5 in covers . How many whole bags of stamps will we need to buy in order to completely cover the poster?

Answers

Answer:

2243.7?

Step-by-step explanation:

Answer:

not right i think

Step-by-step explanation:

2+2
uhhh help plzzzzzz

Answers

Answer:

6

Step-by-step explanation:

4

1. ¿Con cuál de las siguientes opciones se
obtiene la siguiente cantidad: $ 18.90?
a) 1 moneda de $ 10, 2 monedas de $ 1,
10 monedas de 50 y 1 moneda de
20
b) 3 monedas de $5, 5 monedas de 50 €
y 2 monedas de 20 €.
c) 1 monedas de $ 10, 5 monedas de 50
¢ y 2 monedas de 20 ¢.
d) 3 monedas de $5, 7 monedas de 50 ¢
y 2 monedas de 20 ¢.​

Answers

Answer:

gkcmh .dfjdjhdjkjihndbdndndfp

La entrada al zoológico cuesta 3.341 ¿cuánto cuesta la entrada para un grupo de 75 niños?

Answers

Answer:

250.575

Step-by-step explanation:

3.341 * 75 = 250.575

Check your solution!

5 • x = 12

Answers

Answer:

x = 2.4

Step-by-step explanation:

isolate x \/

x=12/5

12/5 = 2.4

Answer:

i dun know wut u mean by check ur solution but I'll anyways solve it

x=12/5

x=2.4

I hope it helps

If the markup rate is 50%, then the cost of a shirt that regularly sells for $60 is $40. true or false?​

Answers

Answer:

false

Step-by-step explanation:

half of 60 dollars is 30

think of it as half of 6

I NEEDS SOME HELP PLS WITH THESE TWO QUESTIONS
‍♀️

Answers

The first question’s answer is: C. Right 1 & Up 2

The second question’s answer is: D. Left 6 & Up 15

Hope this helps!! :)

Your school club is selling hotdogs at a basketball game. The supplies cost $120. You charge $2.50 for each hotdog. Write a function you can use for finding the profit y for selling x number of hotdogs.

Answers

-120 + 2.50x

you lose 120 dollars on supplies, and every hotdog you sell you gain 2.50

A recent study was conducted in which a random sample of men and a random sample of women were surveyed about whether they were fans of a professional football team. The study found that 39 percent of men in the sample were fans and 22 percent of women in the sample were fans. A 99 percent confidence interval for the difference in the proportion of fans of a professional football team between men and women was reported as (0.133,0.207) . Which of the following statements is the best interpretation of the interval?

a. The difference in the percents of fans of a professional football team between men and women is 17%.
b. There is a 99% chance of finding a difference between 13.3% and 20.7% for the percents of men and women who are fans of a professional football team.
c. We are 99% confident that the percent of men who are fans of a professional football team exceeds that of women by at least 20.7%.
d. We are 99% confident that the difference in the sample percents of men and women who are fans of a professional football team is between 13.3% and 20.7%.
e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.

Answers

Answer:

e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

99% confidence interval for the difference  in the proportion of fans of a professional football team between men and women is of (0.133, 0.207)

The interpretation is that we are 99% sure that the true proportion is in this interval for the entire population, so the correct answer is given by option e.

What is the result when g+ + 2 is subtracted from 32 - 41
?
10
100
3
03
10
1 3
o
10
7 9
10
9
-3-3 +1
10
0 3 2 - 1

Answers

Answer:

6

Step-by-step explanation:

6 is the correct answer because-3-3+1

I will give you brailnest answer

Answers

Answer:1/4 of is the correct answer d is the dependant variable.

Step-by-step explanation:

Solve the inequality 5 - 4x > -x+8​

Answers

Answer:

x<-1

Step-by-step explanation:

5-4x>-x+8

adding 4x to both sides we get

5>3x+8

subtracting eight from both sides we get

-3>3x

dividing by three on both sides we get

-1>x

or x<-1

hope that helps if it does please mark my answer as brainliest.

Knowing that 6 × 7 = 42, we know that 42 ÷ 7 = ___

Answers

Answer:

Knowing that 6 × 7 = 42, we know that 42 ÷ 7 = 6

Step-by-step explanation:

Sorry but its very simple question you need to try to do it by yourself

Answer:

6

Step-by-step explanation:

By understanding the relationship between multiplication and division we can positively say that since 6 × 7 = 42, we know that 42 ÷ 7 = 6.

Why is sum of yi.ui zero

Answers

Answer:

Q

=

n

i

=

1

(

Yi

(

β

0

+

β

1

X

i))

2

what is the approximate area of the shaded sector in the circle shown below?​

Answers

Answer:

4,71cm3

Step-by-step explanation:

calculas el area del circulo. luego lo divides entre 360 que son los grados que tiene el circulo y luego lo multiplicas entre 60 k son los grados de la superficie que te pide

Answer:

B) 4.71 cm², the approximate area of the shaded sector in the circle shown below is 4.71 cm²

5.6 x N= 2.24 N=? Please help

Answers

Answer:

N = -3.36

Step-by-step explanation:

5.6 x N= 2.24

-5.6          -5.6

N= -3.36

Answer:

N= 0.4

Step-by-step explanation:

5.6 x N= 2.24

Divide both sides by 5.6

5.6 and 5.6 cancel out

2.24/5.6= 0.4

Check your work

5.6 x 0.4 =2.24

0.4 is correct

Hope this helps ^-^

HELP PLEASE!! thanks

Answers

Answer:

352

but for the 3 it would be 264

15 POINTS! GIVE REAL ANSWERS PLEASE. HELP WOULD BE MUCH APPRECIATED THANKS!
Which algebraic expression does this model represent?

*IMAGE LINKED*

4x+16

4(x+3)

x+34

-4(x+3)​

Answers

Answer:

It would be 4(X + 3)

Step-by-step explanation:

There are 4 Xs and 12 ones, so the equation is 4X + 12 or 4(X + 3).

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