Mathematics High School

in the figure below the measure of <1=5x°, the measure of <2=y°, and the measure of <3=85°. Find the value of each variable. ​

In The Figure Below The Measure Of &lt;1=5x, The Measure Of &lt;2=y, And The Measure Of &lt;3=85. Find

Answers

Answer 1

Answer:

180-85=95

180-95=85

5x=85

x=17

Answer 2

For given figure, x = 17° and y = 95°

What is an equation?

"It is a mathematical statement which consists of equal symbol between two mathematical expressions."

For given question,

We have been given ∠1 = 5x°, the measure of ∠2 = y°, and the measure of ∠3 = 85°

we know, the sum of all the angles on one side of a straight line is always 180°

So, we get two equations.

∠1 + ∠2 = 180°                   .....................(i)

and ∠2 + ∠3 = 180°            .....................(ii)

First we solve equation (ii) to find the value of ∠2

⇒ ∠2 + ∠3 = 180°

⇒ y + 85° = 180°

⇒ y = 95°

Now substitute this value of ∠2 in equation (i)

⇒ ∠1 + ∠2 = 180°

⇒ 5x° + y° = 180°

⇒ 5x° + 95° = 180°

⇒ 5x° = 85°

⇒ x = 17°

Therefore,  x = 17° and y = 95°

Learn more about equation here:

https://brainly.com/question/13170101

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Related Questions

-1/2 (-3y + 10)
Please, I need help on this one.

Answers

Answer:

[tex] - \frac{1}{2} ( - 3y + 10) \\ \\ = \frac{3}{2} y - \frac{10}{2} \\ \\ = { \boxed{ \boxed{ \frac{3}{2} y - 5}}}[/tex]

What is the range of the function on the graph
all real numbers
all real numbers less than or equal to 1
all real numbers less than or equal to 3
all real numbers less than or equal to 0
Marks and con
Save and Exit
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Submit

Answers

Answer:

where is the graph

Step-by-step explanation:

There are 21 apples,28 pears and 49 oranges. These are to be arranged in heaps containing the same number of fruits. Find the greatest number of fruits possible to keep in each heap. How many heaps are formed by this arrangement?​

Answers

21+28+49= 98 (fruit)
98/49=2

2 heaps can be formed.
Each would have 49 fruit.

Answer:

greatest no. of fruits possible to keep in each heap is 7

no. of heaps is 14

Step-by-step explanation:

21 apples

28 pears

49 oranges.

[tex]28 \div 21[/tex]quotient will be 1 and 7 remainder

[tex]21 \div 7[/tex]

quotient will be 3 and 0 remainder

[tex]49 \div 7[/tex]

quotient will be 7 and 0 remainder

hence, the greatest number of fruits is 7

Now,no. of heaps formed to keep fruits

Apple = 21

Pear = 28

Orange =49

Now, 21+28+49 = 98

Then, one heap can store can 7 fruits

Then,let the no. of heaps be x

x= 98÷7

x=14

Hence, no. of heaps = 14

From 1985 through 1995, the yearly gross farrm revenue (in millions) in the United States can be modeled by the function R(t)=-t^2+7t+159 and the yearly farm cost (in millions) in the United States can be modeled by the function c(t)=t^2+131 where t is the number of years since 1985. Write a new function, P(t), that models the yearly profit after 1985

Answers

The profit function is simply the difference between the revenue function and the cost function. The profit function that models the yearly profit after 1985 is [tex]P(t) = 7t + 28[/tex]

Given that:

[tex]R(t) = t^2 + 7t + 159[/tex]

[tex]c(t) = t^2 + 131[/tex]

The profit function P(t) is calculated as follows:

[tex]P(t) = R(t) - c(t)[/tex]

So, we have:

[tex]P(t) = t^2 + 7t + 159 - (t^2 + 131)[/tex]

Open brackets

[tex]P(t) = t^2 + 7t + 159 - t^2 - 131[/tex]

Collect like terms

[tex]P(t) = t^2- t^2 + 7t + 159 - 131[/tex]

[tex]P(t) = 7t + 28[/tex]

Hence, the profit function that models the yearly profit after 1985 is [tex]P(t) = 7t + 28[/tex]

Read more about profit functions at:

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Which of these is an incorrect expression of a rational number?

A
−42−6

B
1−19

C
0−27

D
−120

Answers

Answer:

I believe it to be D

Step-by-step explanation:

because thats the only one different out of those four.

Answer:

the answer is -120

Step-by-step explanation:

I NEED HELP ASAP FIRST PERSON CORRECT GETS BRAINLIST

Answers

Answer:

the first one has no solution because the lines never intersect.

the second one has one solution: (-3, 3)

the third one has an infinite solution because there lines are on top of each other the entire time.

Step-by-step explanation:

:)

Step-by-step explanation:

(i) No solution

Because they are parallel to each other

(ii) One solution

Because they intersect each other

(x,y) = (-3,3)

(iii) Infinite solution

Because they are in one line

Solve 4 [5 (12+3)-2]-7 PLSSS HELP MEEE

Answers

Answer:

285

Step-by-step explanation:

4(5x15-2)-7

4(75-2)-7

4x73-7

292-7

285

What percentage of households in the survey have four or more televisions?

Answers

Answer:

2.5% ?

Step-by-step explanation:

.025 as percentage is 2.5%

-7x-3x+2=-8x-8 solve the equation for the variable show work

Answers

Answer:

sorry man

Step-by-step explanation:

iguess dhejwjsjsj

Here is the answer lmk if you need any clarification

A dance academy charges $24 per class and a one time registration fee of $15. A student paid a total of $687 to the academy. Find the number of classes the student took.

Answers

Answer:

The student took 28 classes

Step-by-step explanation:

What I did was minus $15 from the $687 total, cause $15 is only a one time registration fee, then 687-15=672, so then I divided 672 by the cost per class, so $24, 672 divided by 24 equals to 28, so the student took 28 classes.

If x=2 and y = -5 find the value of 4x² + 3y² stosib wollen nieu​

Answers

Hey there!

Given,

x = 2 and y = -5

To find : 4x^2 + 3y^2

[tex]4.{2}^{2} + 3.{ - 5}^{2} \\ \\ 8 + ( - 10) \\ \\ - 2[/tex]

So the answer is

-2

Hope it help you

Answer:

-59

Step-by-step explanation:

you plug 2 and -5 into the equation and then solve from there

five more than twice a certain number​

Answers

2x+5 should be the answer

Find the area of a rectangular ground which is 14 1/2 m long and 10 2/3 m wide.

Answers

Answer:

154 2/3 m²

Step-by-step explanation:

14 1/2 x 10 2/3

First, make the mixed numbers into improper fractions:

29/2 x 32/3

Simlify by cross cancelling if you can:

29/1 x 16/3

Then, multiply:

29/1 x 16/3 = 29 x 16/1 x 3 = 464/3

Finally, turn the new improper fraction into a simplified mixed number:

464/3 = 154 2/3

The area is 154 2/3 m²

A function is defined by fx) = x/4 . What is f(-8)?
a. -2
b. -1/2
c. 1/2
d. 2

HELP PLEASE
​

Answers

Answer:

The choose a. – 2

Step-by-step explanation:

[tex]f( - 8) = \frac{ - 8}{4} = - 2[/tex]

2x^2(6x^3-3x+1) need help

Answers

Answer:

12x^5-6x^3+2x^2

Step-by-step explanation:

Write f(x) = 2x2 – 44x + 185 in vertex form.



To write f(x) = 2x2 – 44x + 185, factor out
from the first two terms.

Next, form a perfect square trinomial keeping the value of the function equivalent:

f(x) = 2(x2 – 22x + 121) + 185 – 242

The function written in vertex form is f(x) =
(x –
)2 +
.

Answers

Answer:

Step-by-step explanation:

[tex]f(x)=2x^2-44x+185\\\\=2(x^2-2*11*x)+185\\\\=2(x^2-2*11*x+11^2)+185-2*121\\\\\boxed{f(x)=2(x-11)^2-57}\\\\vertex\ is\ (11,-57)[/tex]

Answer:

f(x) = 2(x - 11)² - 57

Step-by-step explanation:

Given

f(x) = 2x² - 44x + 185 ( factor out 2 from the first two terms )

f(x) = 2(x² - 22x) + 185

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² - 22x

f(x) = 2(x² + 2(- 11)x + 121 - 121 ) + 185

     = 2(x - 11)² + 2(- 121) + 185

    = 2(x - 11)² - 242 + 185

f(x) = 2(x - 11)² - 57 ← in vertex form

Emmy made lasagna for dinner. She put The lasagna into the oven at 4:27 PM and took it out at 5:03 PM how long was the lasagna in the oven

Answers

Answer:

36minutes

Step-by-step explanation:

5 :03 - 4:27

= 36minutes

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

Answers

Step-by-step explanation:

[tex] {40}^{ \frac{1}{2} } and \: 2 \sqrt{10} [/tex]

The actual distance between A and B is 960 metres.

a) Work out the scale on the map. Give your answer in the form 1:n

b) Work out the actual distance between A and C in kilometres. Your final line must say, AC = ... km
​

Answers

Answer:

Step-by-step explanation:

a. 960 / 4 = 240 for 1 grid

1/2 cm = 24000

1 : 48000

b. A to C

AC² = 3² + 6²

AC² = 9 + 36

AC²= 432 + 1728

AC² = 2160

AC = √2160 km

............-2
6.7x10 =

Answers

Answer: 67

Step-by-step explanation:

When you multiply with numbers like 10, 100, 1000, 10000, and so on you just have too right or left (division : left)(multiplication : right) according to the zero's. Like 100 has 2 zero's so then if you're multiplying with that you will go 2 to the right, and dividing you will go 2 to the left. Lets apply the same logic here, the question is 6.7 x 10, 10 has 1 zero and we are multiplying here so then, we have to go to the right, so 6.7 will become 67.

During a 12-hour period, the
temperature dropped 48º.
How many degrees did the
temperature drop each hour?

Answers

Answer:

4 degrees every hour

Step-by-step explanation:

Since it was 48 degrees over a total of 12 hours we can do:

48 / 12 = 4 degrees.

It may be presented as -4 degrees since it is dropping in tempature therefore making it negative.

What is 7b+3-4b=3-3b+12

Answers

Answer:

b=2

Step-by-step explanation:

Jane is solving the equasion -2x + 4 = 18. She tells her partner that they should add two to both sides first since that is the inverse of -2. Did Jane start this equation correctly? Explain your reasoning

Answers

Answer:

No

Step-by-step explanation:

Given

- 2x + 4 = 18

note the inverse of - 2 is - [tex]\frac{1}{2}[/tex] not - 2

However , the first step is to isolate the term in x by subtracting 4 from both sides.

- 2x = 18 - 4 = 14 ( divide both sides by - 2 )

x = - 7

Use 1/2 of preparation now. In 24 hours use the remaining amount of preparation there is 8 ounces of preparation in the bottle. How much will you use for each use?

Answers

I’ll use 1/2 for each Just multiply the 1/2 by the 8

Please help!!!!! 25 POINTS

How do you find the solutions to a system of equations involving quadratic functions and other functions?

How do quadratic functions compare to linear and exponential functions?

Answers

Answer:

1. How to Solve using Algebra

Make both equations into "y =" format.

Set them equal to each other.

Simplify into "= 0" format (like a standard Quadratic Equation)

Solve the Quadratic Equation!

Use the linear equation to calculate matching "y" values, so we get (x,y) points as answers.

Algebraic method is more easy to do

2. linear functions have constant first differences. quadratic functions have constant second differences. exponential functions have a constant ratio.

Lawrence spent $1.89 on a bottle of paint and $0.45 on a brush. What was the total amount he spent? Use the model to help you.

Answers

The correct answer would be 2.34
Correct answer is $2.34

There are 60,659 people under the age of 14 years old
There are 215,927 people age between 15 and 64 years old
There are 36,610 people over the age of 65 years old
What is the Old Age Dependency Ratio as a decimal rounded to
the Thousandths place?

Answers

Answer:

(2,800/1,500) * 100 = 187%

Step-by-step explanation:

what is the coordinate points for r(-2)=0​

Answers

Function notation has the form r(x)=y and coordinate points are (x,y).
So in r(-2)=0, you have x = -2 and y = 0. This means you have the point (-2,0).

5.346 - 2.289 = ?

SHOW WORK

WILL GIVE BRAINLIEST PLEASE

Answers

Answer:

7.635

Step-by-step explanation:

1 1  

 |5| . |3| |4| |6|

+  |2| . |2| |8| |9|

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

 |7| . |6| |3|

noboboboobobovobobnaoakspapsls

Please help!! Due tm! NO LINK

Answers

Ans4

Step-by-step explanation:

Step-by-step explanation:

25 . f (-6) = 7

26 . f (0) = -2

27 . x = 2

28 . x = -4

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