The measure of one angle of a triangle is 28 more than the measure of the smallest angle of the triangle. The measure of the third angle is twice the measure of the smallest angle. Find all three measures and classify the triangle by angles.

Answers

Answer 1

9514 1404 393

Answer:

38°, 66°, 76°acute triangle

Step-by-step explanation:

Let x represent the smallest angle. Then the other two angles are (x+28) and 2x. Their sum is ...

  x + (x+28) +(2x) = 180

  4x = 152 . . . .  subtract 28

  x = 38 . . . . . . .divide by 4

  x+28 = 66 . . . find the other angles

  2x = 76

The three angles are 38°, 66°, 76°. The largest angle is acute, so it is an acute triangle.


Related Questions

Trevor bought 5 packages of cake mix for $32.50.How much would 8 packages of cake mix cost?

Answers

Answer:

$52

Step-by-step explanation:

32.50/5=6.50

1 costs $6.50

8x6.50=$52

Answer:

$52 dollars because you have to find the original number which is what is 1 box equal to which is $6.50 then you multiply $6.50 by 8 and get $52

Hope I helped!

Every month, your cell phone plan costs $90 and gives you unlimited talk, unlimited text messages, and 4 GB of data. The cell phone company also charges $20 for each gigabyte over 4 GB of data. How much will you be charged if you use 10 GB of data?

Answers

Answer: You will be charged $ 210 for 10 GB of data.

Step-by-step explanation:

Given : Cost of cell phone plan = $90

Additional charge over 4GB for each GB =  $20

If 10 GB data is used , then after 4 GB you need to pay for 6 additional GB (10-4=6)

Total charge = (Cost of cell phone plan)+ (Additional charge) x (Number of gigabytes over 4 GB)

i.e. Total charge = $(90+20(6))

= $ (90+120)

= $ 210

Hence, you will be charged $ 210 for 10 GB of data.

130 is 1/10 of 13 true or false

Answers

Answer:

This is true.

Step-by-step explanation:

Finding 1/10 of a number is the same as dividing it by 10. 130 divided by 10 is 13.

Help ASAP,first one will be the brianlistt!!!!!!!!!

Answers

Answer:

1 question : -12

2 question : 3/7

Step-by-step explanation:

Answer:

1. is -12 that's the answer 2. 0.42857142857

Step-by-step explanation:

What is X? 8(5x-5)=8(5x-5)

Answers

Answer:

An infinite number of solutions.

Step-by-step explanation:

When you try to solve for x, the result is 0 = 0.

This means that for any value you plug in for x, the result will always be equal to each other, therefore making the equation true.

Robin reads 5 pages of a book in 4 minutes. Based on this rate, what is the total number of minutes it will take Robin to read 200 pages?

Answers

Answer: 160 minutes

Step-by-step explanation: 200 divided by 5 is 40, then 40 times 4 is 160

Division is one of the four fundamental arithmetic operations. The time it will take Robin to read 200 pages of the book at the same rate is 160 minutes.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that it takes Robin 4 minutes to read 5 pages of a book. Therefore, the rate at which Robin reads a page of the book is,

Rate at which Robin reads = 4 minutes/5 pages = 0.8 minutes per page

Now, to know the time it will take for Robin to read the book of 200 pages at the same rate can be found by multiplying the number of pages by the rate of reading. Therefore, the rate at which Robin reads is,

Time to read 200 pages = 0.8 minutes per page × 200 pages

                                         = 160 minutes

Hence, the time it will take Robin to read 200 pages of the book at the same rate is 160 minutes.

Learn more about Division here:

https://brainly.com/question/369266

#SPJ2

An adult pass for a county fair costs $2 more than a children’s pass. When 378 adult and 214 children’s passes were sold, the total revenue was $2,348. Find the cost of an adult pass.​

Answers

A= C + 2

378A + 214C = 2384

An adults pass (A) cost two dollars ($2) more than a children’s pass (C).

378 adult passes and 224 children passes are sold. The revenue is 2384.

378(C+2) + 224C = 2384
378C + 2 x 378 + 214C = 2384
592C + 756 = 2384
593C = 2384 — 756 = 1628

C = 1628/592 = 11/4 = $2.75
A = $2.75 + $2 = $4.75

There are two equations with two unknowns.

In equation (1) A is already in terms of C so substitute equation (1) into equation (2) and solve for C.

Now that C is know, substitute C back into equation (1) to get A.

Results:

Adult’s cost: $4.75
Children cost: $2.75

brainliest??

SOME PLEASE HELPP
I NEED THE STEPS TO SOLVE IT​

Answers

Answer:

answer is 7950

Step-by-step explanation:

compund interest=7950

PLEASE HELP MEEEE!!!!

Solve the system of equations and show work.

Answers

Answer:

No solution

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

what is the distance between the following point A (-2, -1) and point B (3,2)?

Answers

5.83 is the answer of the distance between points

Answer:

5.83

Step-by-step explanation:

If B = 1 – q and C = 3q – q? – 1, find an expression that equals B - C
in standard form.

Answers

Answer:

[tex]q^{2} -4q+2[/tex]

Step-by-step explanation:

105÷35.
this is for a math lesson can you help

Answers

Answer: 3

Step-by-step explanation:

The answer is 3, hope this helped! :)

PLEASE HELP WITH 24
I WILL GIVE YOU THE BRILLIANT THINGY

Answers

Answer:

heres an example: Replace all x's in

g(x)

with the function f(x) to get

g(f·x)=(x+3)2

Explanation:

g(f·x)

means that you replace all x's in

g(x)

with the function

(f·x)

The easiest way to do this is rewrite

g(x)

replacing all x's with a blank set of parenthesis, like this

-g(f·x)=(x)2

Now place the function into the parenthesis.

(f·x)

g(f·x)=(x+3)2

Step-by-step explanation:

On a tour of an old gold mine, you find a nugget containing 0.82 ounce of gold. Gold is worth $1566.80 per ounce. How much is your nugget worth?

Your nugget is worth

Answers

Chicken breast perfectly

Is there a way to solve this equation without Calculus concepts? I am enrolled in Geometry and this is extra credit and I'm having a hard time understanding this. Please mind how stupid I may sound if I said something wrong.

Answers

Step-by-step explanation:

ω = ω₀ + αt

θ = ω₀ t + ½ αt²

We need to eliminate t from the system of equations.  Solve for t in the first equation, then substitute it into the second equation.

t = (ω − ω₀) / α

θ = ω₀ (ω − ω₀) / α + ½ α ((ω − ω₀) / α)²

θ = ω₀ (ω − ω₀) / α + ½ (ω − ω₀)² / α

αθ = ω₀ (ω − ω₀) + ½ (ω − ω₀)²

αθ = ω₀ω − ω₀² + ½ (ω² − 2ω₀ω + ω₀²)

αθ = ω₀ω − ω₀² + ½ ω² − ω₀ω + ½ ω₀²

αθ = ½ ω² − ½ ω₀²

2αθ = ω² − ω₀²

2. A long jump competition was held at Barangay Mathalino. John Mark
jumped of 6 meters of the field. How far did John Mark jump​

Answers

This question is incomplete

Complete Question

A long jump competition was held at Barangay Mathalino John Mark

jumped 2/3 of 6 3/5 meters of the field. How far did John Mark jump​?

Answer:

4 2/5 meters

Step-by-step explanation:

We are told:

John Mark jumped 2/3 of 6 3/5 meters of the field.

The distance John jumped us calculated as:

2/3 × 6 3/5 meters

Converting 6 3/5 meters to mixed fraction

= 33/5 meters

Hence, John jumped

=2/3 × 33/5 meters

= 22/5 meters

= 4 2/5 meters

Someone Please solve #7 for me

Answers

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

solution of the linear equation 3x + 4y= 10

Answers

it is 1 i think i’m right

Add -4y to both sides.

3x + 4y + −4y = 10 + −4y

3x = −4y + 10

Divide both sides by 3.

3x /3  =  −4y + 10 /3

x=  −4 /3 y +  10 /3

Answer: x=  −4 /3 y +  10 /3

Rewrite the sum using the GCF and the distributive property:
16 + 28

Answers

Answer:qsgqwgiq

Step-by-step explanation:

8ytyy

What is the base of the exponential expression? ​

Answers

Answer:

B

Step-by-step explanation:

The base is the number the exponent is attached to.

Which phrase describes the solution set for this function?
f(x) = 2(x - 1)2 + 4
A.
one real solution and one complex solution
B.
two complex solutions
O C.
two real solutions
D.
one real solution

Answers

Note: The function is not an equation. I will form and solve an equation to answer the question.

Answer:

C. Two real solutions

Step-by-step explanation:

We have the following function:

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

It does not form an equation to solve, and therefore, there are no 'solutions'. We must equate the function to something to set a condition and solve it. We'll complete the equation.

Solve for x when:

f(x)=12

Substituting the function:

2(x-1)^2+4=12

Subtracting 4:

2(x-1)^2=8

Dividing by 2:

(x-1)^2=4

Taking square root:

x-1=\pm\sqrt{4}

Solving:

x=1\pm2

We have two real solutions x=3 and x=-1

Note if we had equated to 4, then the equation would have had only one real solution, and if we had equated to 0, we would have two complex solutions.

The solution of equation f(x) = 2x² - 4x + 6 is two complex solutions. Then the correct option is B.

What is the discriminant?

The discriminant of a quadratic is a number that depends on the components and allows some characteristics of the roots to be deduced without calculating them.

The quadratic equation is ax² + bx + c = 0. Then the discriminant is given as,

D = b² - 4ac

If D > 0, then the roots are real and distinct root.If D = 0, then the roots are real and equal roots.If D < 0, then the roots are imaginary roots.

The equation is given below.

f(x) = 2(x - 1)² + 4

f(x) = 2x² - 4x + 2 + 4

f(x) = 2x² - 4x + 6

The discriminant is given as,

D = (-4)² - 4×2×6

D = 16 - 48

D = - 32

D < 0

The roots are complex root.

The solution of equation f(x) = 2x² - 4x + 6 is two complex solutions. Then the correct option is B.

More about the discriminant link is given below.

https://brainly.com/question/15884086

I need help with that

Answers

Answer:

y(dollars) = 12x

Step-by-step explanation:

Gianna is substituting t = 2 and t = 7 to determine if the two expressions are equivalent. 5 (2 t + 3) 5 t + 25 Which statement is true? Both expressions are equivalent to 35 when t = 2. Both expressions are equivalent to 85 when t = 7. Both expressions are equivalent to 60 when t = 7. The expressions are equivalent.

Answers

Answer:

Both expressions are equivalent to 35 when t = 2

Step-by-step explanation:

Given

Expression 1: 5(2 t + 3)

Expression 2: 5t + 25

When t = 2

5 (2 t + 3)

= 5(2*2 + 3)

= 5(4 + 3)

= 5(7)

= 35

5t + 25

= 5*2 + 25

= 10 + 25

= 35

When t = 7

5(2 t + 3)

= 5(2*7 + 3)

= 5(14 + 3)

= 5(17)

= 85

5t + 25

= 5*7 + 25

= 35 + 25

= 60

Both expressions are equivalent to 35 when t = 2

Answer:

Both expressions are equivalent to 35 when t = 2.

Find the Horizontal Asymptote of the exponential function, and then identify the transformations.
f(x) = -2^(2-5) + 3

Answers

Answer:jjjjjjjjjjjjjjhhhhhhheeeeeeeaaaaa

Step-by-step explanation:

Answer:

f(x)=23/8

Step-by-step explanation:

To find horizontal asymptotes: If the degree (the largest exponent) of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x-axis (y = 0). If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote.

Nathan drinks 32 ounces of water per day he read that he should drink 9 ounces per day if he starts drinking 59 ounces per day what is the present increase round to the nearst percent

Answers

Answer:

he is dead from water overdose if he does that

CAN I PLEASE GET SOME HELP
The function f(x) is graphed on the coordinate plane.

What is f(−4)?

Answers

Answer:

f(-4) = 4

Step-by-step explanation:

Let the equation of the function is,

f(x) = mx + b

where m = slope of the line

b = y-intercept of the line

From the graph attached,

Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex] = [tex]\frac{-2}{4}[/tex]

Slope 'm' = [tex]-\frac{1}{2}[/tex]

y-intercept 'b' = 2

Therefore, function will be,

f(x) = [tex]-\frac{1}{2}x+2[/tex]

For x = -4,

f(-4) = [tex]-\frac{1}{2}(-4)+2[/tex]

      = 2 + 2

      = 4

Which is true from the graph.

i got tricked last time, please, HELPP ME I WILL MARK THE FIRST ONE TO ACTUALLY SOLVE THE PROBLEM AS THE BRAINLIEST!!
Three consecutive odd integers are such that the sum of the smallest integer and the largest integer is 86. Find the value of the 2nd number. PLZ HELP

Answers

42, and 21 i think I might be totally wrong but this is my beat answer. Report me if i am wrong. But have a good day!

1. Samantha has 45 books. She can pack 7 in each box. How many boxes can she completely fill? How many books will be left? A 6 boxes; 3 books B 6 boxes; 2 books C 7 boxes; 0 books D 7 boxes; 3 books

Answers

Answer:

6 boxes, 3 books

Step-by-step explanation:

Samantha has 45 books

She can pack 7 books in each box

The number of box she can completely fill can be calculated as follows

= 45/7

= 6 remainder 3

Hence Samantha can completely fill 6 boxes and will still be left with 3 books

What’s the answerrrrrrrr

Answers

the answer is B. thank you

Solve the equation 0.65 = 0.5c what is the value of c

Answers

Answer:

that would be 1.3

Step-by-step explanation:

(thats what my calculator says)

Other Questions
A scientist plants two rows for experimentation. She puts fertilizer on row 1 but does not put fertilizer on row 2. Both rows receive the same amount of water and light intensity. She checks the height of the corn growth over the course of 5 months. What is a constant in this experiment? Lights Outby J. Robbins How could this have happened? exclaimed Valancy as she surveyed the storage room full of ruined flowers. Micawber, who had been working with his best friend Valancy at Newflower Market for a year, had been responsible for closing the store the previous night. He hung his head in shame. I have no idea, V, he replied. I swear to you, I thought I closed the door and turned the temperature down. I followed the checklist exactly! Im going to get fired, arent I? Valancy looked at him sympathetically. Um, probably, she said. I wish I could lie to you, but this mistake is going to cost the company a lot of money. Mr. Sheepsnose will be here in a few minutes, and Ill tell him about the flowers then. Wait! cried Micawber. Maybe he doesnt have to know! We could tell him that someone broke into the store last night, and hell never have to know the truth. We can blame it on a disgruntled ex-employee. When 'Road Rage' Darryl got fired last week, he looked pretty disgruntled. No way, Valancy replied. I dont lie for anyone, and neither should you. Mr. Sheepsnose is a nice person, and hell be completely fair with you. There is no reason to make up a crazy story about a break-in. Micawber sighed and glumly sat on an overturned bucket. I guess youre right, he told his friend. I still dont know how I could be so stupid. Mr. Sheepsnose trusted me to close down the store, and Ive let him down. Now I'll never become the CEO of a Fortune-500 company." Good morning, kids, called Mr. Sheepsnose cheerfully as he walked into the store. Why the sad faces? Valancy busied herself with paperwork while Micawber stepped forward to face his supervisor. I have some bad news, sir, he told Mr. Sheepsnose. Somehow, I left the store last night without closing the storage room door, and all of the flowers were ruined. I have no idea how it happened, but I am so sorry. If you want to fire me, I completely understand. Mr. Sheepsnose surveyed the damaged flowers and his despondent employee over the rim of his half-glasses. Well, Micawber, I am impressed, said Mr. Sheepsnose. It took a lot of courage to tell the truth, and not many people would have done the same thing in your position. I know for a fact that you did close the storage room door last night because it was closed when I arrived at midnight. The building manager called me up here because the power went out for the whole block and shut down our refrigeration unit. That is why the flowers are ruinedit wasnt anything you did. Your job is safe, Micawber. In fact, I think I can give you even more responsibility now that youve proven yourself trustworthy. Mr. Sheepsnose patted his relieved employee on the shoulder and went to his office. Thanks for the great advice, Micawber told Valancy as he grabbed a broom and began sweeping the front room. He whistled a happy tune as he began to daydream about becoming a supervisor himself one day.24Select the correct answer.What is the best way to describe the theme of the story?A. Honesty should not protect a bad employee from being fired.B. People do their best work when they are afraid of the boss.C. Ambitious employees are more valuable than honest ones.D. Telling the truth, even when it's difficult, is the best option. What conclusion can you draw from this graph? Which pair of words shares the same suffixEnjoyable, teachable Disappoint, disrepair Mistake, misery Angrily, angered What does demography mean A boat travels 110 feet in 5 seconds. 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Which of the following geographic factors has an influence on where people live?Availability of waterShared cultural traditionsAccess to public transportationProximity to highways and roads