Triangle Angle-Sum Theorem

Triangle Angle-Sum Theorem

Answers

Answer 1

Answer:

answer is C , 123

Step-by-step explanation:

angle 1 = sum of the interior opposite Angles

1 = 60 + 63

1 = 123


Related Questions

the area of the room is 234 square feet. the length of the room is 18 feet. what is the width, in feet, of the room?

Answers

Answer:

13 feet

Step-by-step explanation:

the width = 234/18 = 13 feet

1) Find the measure of 0. (imagine that is an x) 2) Then, find the measure of AB. (the length from A to B) ​

Answers

Answer:

θ ≈ 50°, AB ≈ 15.6

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{11.9}{10}[/tex] = 1.19 , then

θ = [tex]tan^{-1}[/tex] (1.19 ) ≈ 50° ( to the nearest degree

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

Using the cosine ratio in the right triangle

cos50° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{10}{AB}[/tex] ( multiply both sides by AB )

AB × cos50° = 10 ( divide both sides by cos50° )

AB = [tex]\frac{10}{cos50}[/tex] ≈ 15.6 ( to 1 dec. place )

Choose the appropriate word or phrase from the drop down menu to complete the sentences: The mean of the quantitative variable of interest in the population is called the [ Select ] . The mean of the quantitative variable of interest in the sample is called the [ Select ] . The standard deviation of the quantitative variable of interest in the population is called the [ Select ] . The standard deviation of the quantitative variable of interest in the sample is called the [ Select ] .

Answers

Answer:

1. Population mean

2. Sample mean

3. Population standard deviation

4. Sample standard deviation

Step-by-step explanation:

Required

Complete the gaps

The answer is self-explanatory.

All you need to do in this question is to look for the keywords (mean/standard deviation) and (population/sample).

In addition, the symbol of the parameters are:

1. Population mean [tex]\mu[/tex]

2. Sample mean [tex]\bar x[/tex]

3. Population standard deviation [tex]\sigma[/tex]

4. Sample standard deviation [tex]\sigma_x[/tex]

is 65.4279 irrational or rational? Explain​

Answers

It’s a rational number!

please help me with my work

Answers

They have just halved 48
Instead as it says they should do 2 x 48 which is 96
As there are 96 halves within 48

When you are multiplying by a fraction, you have to flip the sign around and the fraction around. Fiona thought she was dividing in half but in reality, she should be multiplying by 2. 1/2 flipped around is 2/1 which equals 2. And since you switch the division sign to a multiplication sign, the new equation will be 48x2. Which equals 96

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

the sum of the first n terms of a sequence is 20 - 10 / 2 ^ n - 1 find the sum of the first five terms​

Answers

Answer:

[tex]S_5=\dfrac{170}{9}[/tex]

Step-by-step explanation:

Given that,

The sum of first n term of a sequence is[tex]S_n=20-\dfrac{10}{2n-1}[/tex]

We need to find the sum of the first 5 terms.

Put n = 5,

[tex]S_5=20-\dfrac{10}{2(5)-1}\\\\=20-\dfrac{10}{10-1}\\\\=20-\dfrac{10}{9}\\\\=\dfrac{170}{9}[/tex]

So, the sum of first 5 terms is equal to [tex]\dfrac{170}{9}[/tex].

Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form.

Answers

Answer:

12^(3/2)

Step-by-step explanation:

(2x6)^3/2

2x6=12

12^3/2= 41.5692193817

What is the sum of the 15th square number and the 5th cube number?

Answers

The sum of the 15th square number and the 5th cube number is 350.

The 15th square number will be:

15² = 15 × 15

= 225

The 5th cube number will be:

5³ = 5 × 5 × 5

= 125

The sum of the numbers will be:

225 + 125

= 350

Therefore, we get that, the sum of the 15th square number and the 5th cube number is 350.

Learn more about sum here:

https://brainly.com/question/17695139

#SPJ1

How many ways can you order a hamburger if you can order it with or without cheese, ketchup, mustard, bacon, mayo, or lettuce?

1. 66
2. 69
3. 64
4. 68

Answers

I think 64.... sorry if it’s wrong :(

Answer:

64

Step-by-step explanation:

2x2x2x2x2x2 = 64

help please!! first answer gets marked brainliest!

Answers

Answer:

Answer 30

Step-by-step explanation:

if you need to solve or see step- by step explanation here's a link https://mathsolver.microsoft.com/en/solve-problem/%60sqrt%7B%2050%20%20%7D%20%20%20%60times%20%203%20%60sqrt%7B%202%20%20%7D

use the figure at the right the complete inequality statements​

Answers

there’s no figure babe

GIVE AN EXPLANATION PLEASE! 20 POINTS!! AND A BRAINLEEST IF TWO OR MORE PEOPLE HAVE ANSWERED IT. (FIRST COME FORST SERVE BASES + ANSWER HAS TO BE CORRECT)

Lily bought a pair of gloves and a shirt.
The gloves cost £4
She sold the gloves and the shirt for a total of £48
She made 100% profit on the cost of the gloves.
20% profit on the total cost.
Work out her percentage profit on the cost of the skirt.
Answer 1 decimal place.

Answers

witw6oweo6ssitsi5sutaurzhfztzjxisi5

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

X=39.3

Step-by-step explanation:

Cos=adjacent/hypotenuse

Cosx=6.5/8.4

X=arccos(6.5/8.4)

X=39.3° rounded from 39.302°

If x = 3, y = -2 and z=
-5, evaluate 3y2-5x/3xz

Answers

Answer:

12-15/ - 45=

3/-45

=-15

Step by step explanation:

What is the square root of -1

Answers

Answer:

i.

Step-by-step explanation:

.

Answer:

[tex]\sqrt{-1}=i[/tex]

The square root of -1 (i)

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

~HOPE IT HELP

~HAVE A GREAT DAY!!


Nicole invested $1600 in an account that pays 4.75% interest compounded annually Assuming no deposits or withdrawals are made, find how much money Nicole would have in the account 18 years after her initial investment. Round to the nearest tenth (if necessary ).

Answers

Answer:

2968

Step-by-step explanation:

what is the solution 2/3x+3 x=-2

Answers

Answer:

5/3 or 0.666666666667

Step-by-step explanation:

2/3*(-2)+3

5/3 or 0.666666666667 (Solved by calculator)

Pls help plz help pls plz help plz plz help

Answers

Answer:

The first choice, Equation A and equation C.

Step-by-step explanation:

The lines A and C are intersecting in the point (0,8). That is the solution for those lines.

Your correct option is Option A and C.

WILL GIVE BRAINLIEST AND 20 POINTS!
PLEASE SHOW WORK1
f={(−2,−5),(3,−1),(1,−1)} and g={(1,1),(−1,−2),(−4,1),(−3,−1)}
Find (f+g)(1).

Answers

Answer:

[tex](f+g)(1)=0[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle f=\left\{(-2, -5), (3, -1), (1, -1)\right\}\text{ and } \\ \\ g = \left\{(1, 1), (-1, -2), (-4, 1), (-3, -1)\right\}[/tex]

And we want to find the value of (f + g)(1).

Recall that this is equivalent to:

[tex]=f(1)+g(1)[/tex]

According to the set, f(1) = -1 and g(1) = 1. Hence:

[tex]=(-1)+(1)=0[/tex]

A certain forest covers an area of 3600km^2. Suppose that each year this area decreases by 6%. What will the area be after 8 years?

Answers

Answer:

= 1728km2

Step-by-step explanation:

From the formula A = PRT/100%

Where; A is final

P is initial

T is time taken

R is the rate

Therefore A = 3600 × (6/100) × 8

= 1728km2

Help me find answer please very much lost and its a test:(((will give brainiest or w.e it is

Answers

Answer:

x = 8

Step-by-step explanation:

Recall: according to the exterior angle theorem of a triangle, the sum of two interior angles equals the measure of the exterior angle it is opposite to.

m<MNO = (5x + 2)° => exterior angle of ∆LMN

m<NLM = (x + 10)° => interior angle of ∆LMN

m<LMN = (x + 16)° => interior angle of ∆LMN

Therefore:

m<MNO = m<NLM + m<LMN (exterior angle theorem of triangle)

Substitute

5x + 2 = x + 10 + x + 16

Add like terms

5x + 2 = 2x + 26

Collect like terms

5x - 2x = -2 + 26

3x = 24

Divide not sides by 3

x = 24/3

x = 8

HELP ME !
Please!
Which of the following tables represents a function?

Answers

B, the one u have selected. Since each value of x has a unique y value.

Solvex - 7x - 34 = 10 halo pls helppppppp

Answers

Answer:

x-7x-34=10

-6x-34=10

Step-by-step explanation:

x=-22/3

x - 7x - 34 = 10
-6x - 34 = 10
-6x = 10 + 34
-6x = 44
x = -22/3

Which expressions are equivalent to the one below? Check all that apply.
7*3.7^x
A. 73-*
B. 493x
C. 343.7
D. (7.7)3
E. 73x
F. 73 + x

Answers

Answer: ur answer is correct ❤️

Step-by-step explanation:

Ifm22 = 115°, what is m21?

Answers

Answer:

Step-by-step explanation:

Could anyone help me solve for x? I've tried multiple times and can't seem to get the answer that was given

Answers

Step-by-step explanation:

Try Photo-math app or Math-way app.

A college with a graduating class of 4000 students in the year 2010 predicts that its graduating class will grow 5% per year.
Using an exponential function to model the number of students y in the graduating class t years after 2010 to predict the number
of students in 2017?

Answers

Hello,

[tex]u_0=4000\\u_1=4000*1.05 (for\ year\ 2011)\\\\u_n=4000*1.05^n\\So:\\year\ 2017: u_7=4000*1.05^7=5628,401690625\ \approx{5628}[/tex]

Using an exponential function, the number of students y in the graduating class 7 years after 2010 i.e. in 2017 will be 5628.4

What is an exponential function?

y = abˣ, where a is the initial population, b is the rate, and x is the time, is the standard exponential function.

How to solve this problem?

Here initial student population = 4000.

Rate = 5% = (100 + 5)/100 = 1.05

Time = 7 years.

Now, in 2017, the population will be y = 4000 * (1.05)⁷ = 5628.401691 ≅ 5628.4.

Therefore, using an exponential function, the number of students y in the graduating class 7 years after 2010 i.e. in 2017 will be 5628.4

Learn more about exponential function here -

https://brainly.com/question/14551308

#SPJ2

According to the number line, what is the distance between points A and B?

0 6 units
7 units
O 12 units
O 14 units

Answers

Answer:

14 units

Step-by-step explanation:

A = - 2, B = 12

Therefore,

d(A, B) = 12 - (-2) = 12 + 2 = 14 units

The equation for the circle below is x2 + y2 = 100. What is the length of the
circle's radius?

Answers

Answer:

Step-by-step explanation:

x²+y² =(Radius)²

x²+y² =10². So the radius is 10

Answer:

radius = 10

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

x² + y² = 100 ← is in this form

with r² = 100 ( take the square root of both sides )

r = [tex]\sqrt{100}[/tex] = 10

the 3 three questions​

Answers

Answer:

Step-by-step explanation:

#2 Should be many to one; the reason for this is when doing functions a proper one will have one input to one output.

#3 Should be D; same reasoning as above.

And sorry I am at a loss for #1.

Other Questions
How can Preena share 11 identical apples among 30 of her classmates evenly so that no apple is sliced into more than 10 pieces? Choose the best Spanish word to complete the sentence.(read) ese libro. PLZ HELPPP!!! whoever answers first with a good answer ill mark as brainliest fungsi vakuol mengecut dalam paramecium A darkly staining region that may appear within the nucleus on an electron micrograph is called a(n) ______. This is the location of rRNA production. Mava=mbvb ma x5.0ml = 5.2ml x 0.10m Solve the equation and enter the value of x below. 3(x+11) + 5= 68 Identify the proper noun in the following sentence. During class, Professor Dominquez lectured about insect life cycles 11. I am going to_____ Spanish next summer. A) learning B) learn C) will learn D) learnt12. Im saving my money _____ a CD player. A) buying B) to buy C) buy D) bought 13. Were going to Paris _____ a holiday. A) to have B) have C) having D) had14. I bought a nice present to ____ to my mom for her birthday. A) finish B) give C) read D) have15. Its too cold to _____ for a walk. A) carry B) drink C) go D) place16. I am studying hard in order to _____ my exam tomorrow. A) get B) see C) read D) pass17. A: They arent at home. They _____ out . B: OK. Can you give them this envelop? A) are going B) go C) can go D) have gone18. They _____ both _____ to become TV stars. A) are / go B) are / going to C) is / going D) are / going 19. Whats she going _____ ? A) do B) doing C) to do D) did 20. She wants _____ in Paris and Moscow. A) dancing B) dance C) is dancing D) to dance 21. They _____ going _____ a car this year. A) arent / get B) arent / getting C) arent / to get D) arent / got22. She _____ traveled to most parts of the world. A) have B) is C) has D) will 23. _____ you ever _____ in a car accident? A) Has / been B) Have / been C) Have / be D) Have / was24. He has enough money to _____ around the world. A) get B) watch C) travel D) dance25. _____ you_____your homework yet? A) Do/do B)Did//do C) Can/do D) Have/done 26. She _____ to Russia two years ago. A) go B) went C) gone D) goes27. Raphel _____ a student at university for eight years. He______ school yet. A) has been/ hasnt finished B) is/ didnt finishC) was/ doesnt finish D) can be/ isnt finishing Determine how much simple interest you would earn on the following investment:$13,400 invested at a 6 1/2% interest rate for 4 years. You want to study the effect of agriculture run-off on the rate of antibiotic resistant bacteria in ponds. You gather samples from ponds surrounded by high density livestock areas and from ponds at least ten miles from agriculture activities. You grow the bacteria on plates and test how resistant they are to antibiotics. Based on this experiment, the proximity of the pond to agriculture would be best categorized as what Question I - Debbie Debtor borrowed $1,000.00 from First Big Bank. Debbie Debtor agreed to repay the $1,000.00 over eight months plus interest. Debbie Debtor loses her job and stops making payments to First Big Bank after two months. What is the source of law that governs the subsequent remedies that may be available to First Big Bank Help ASAP). "The Alchemist". Question 1) Define allegory? Question 2) In medieval times, it was believed that there was a process that would change base metals into gold. An alchemist has the ability to transform things. In the prologue, the alchemist changes the ending of the myth about Narcissus. Narcissus looked at his reflection in the lake every day. But in the alchemist's story, the lake was enjoying its own reflection in Narcissus's eyes. What do you think the author is implying about how we see ourselves and others? Question 3) What does Santiago the shepherd describe his sheep's behavior? What do his sheep symbolize? Question 4) The character of Santiago is an archetype of the shepherd. Briefly describe the shepherd archetype? Question 5) What is a Personal Legend? Question 6) How does Melchizedek's conversation with Santiago affect the plot? Question 7) There are many symbols in the novel. These symbols have a meaning beyond their literal meaning. Make notes about their meanings as you read. Treasure , Hawks, Desert. Question 8) What does Santiago learn from the Englishman? Question 9) What is the purpose of the omens? 10) What does Santiago realize when he meets Fatima? Question 11) What does the alchemist teach Santiago? ( Look at the picture for the last 4 questions) Will Mark Brainliest). Don't Answer if you haven't read the story please. The simple interest on certain principal is 1/5 of the amount in 5 years, find the rate of interest.a. 5%b. 80%c 6 2/3d 10% You are stowing items and come across an aerosol bottle of hairspray. What should you do? Please choose all that apply Which law would you use to simplify the expression? Si dos angulos son conjugados entre paralelas entonces son suplementarios es verdadero o falso If U={a,b,c,d,e,f,g,h,} A={a,b,c,d} B={a,e,h}. Then verify the relation AUB What is the answer to this question The reaction of an alkene and water in the presence of an acid catalyst to produce an alcohol is called ________.