Find the value of x.
please explain because I'm confused ​

Find The Value Of X. Please Explain Because I'm Confused

Answers

Answer 1

Answer:

  40

Step-by-step explanation:

The sum of exterior angles of a convex polygon is 360°. This relation lets you write an equation for x.

__

Clockwise from the bottom, the sum of exterior angles is ...

  90° +(x +35)° +(x +15)° +(2x -20)° +(2x)° = 360°

  120° +6x° = 360° . . . . . . . simplify

  6x = 240 . . . . . . . . . . divide by °, subtract 120

  x = 40 . . . . . . . . . . divide by 6

The value of x is 40.

Answer 2

Answer:

x = 40°

Explanation:

The shape is a pentagon. Any polygon's exterior angles sum up to 360°.

Now, they all sum up to 360° :

⇒ (x + 35) + (x + 15) + (2x - 20) + 2x + 90 = 360°

⇒ x + x + 2x + 2x + 35 + 15 -20 + 90 = 360°

⇒ 6x + 120° = 360°

⇒ 6x = 360° - 120°

⇒ 6x = 240°

⇒ x = 240°/6

⇒ x = 40°


Related Questions

Consider the following function f(x) = x² + 5.
Part A: Write a function, in vertex form, that shifts f(x) right 3 units.
Part B: Write a function, in vertex form, that shifts f(x) left 10 units.

Answers

Part A

To shift the curve 3 units to the right, we'll replace x with x-3. What this does is move the xy axis 3 units to the left. If we held the curve in place as the axis moves, then it gives the illusion the curve is moving 3 units to the right.

[tex]f(x) = x^2 + 5\\\\f(x-3) = (x-3)^2 + 5\\\\g(x) = (x-3)^2 + 5\\\\[/tex]

Do not expand out the (x-3)^2 term, because you want to keep the function in vertex form. The old vertex of (0,5) moves three units to the right to arrive at (3,5)

Answer:  [tex]g(x) = (x-3)^2 + 5[/tex]

==============================================================

Part B

We use the same idea as before. This time we're moving the curve 10 units to the left, so we'll replace x with x+10

[tex]f(x) = x^2 + 5\\\\f(x+10) = (x+10)^2 + 5\\\\g(x) = (x+10)^2 + 5\\\\[/tex]

Which shapes contain at least one right angle?

Select each correct answer.

Answers

1: Trapezoid
2: rectangle!

STEP BY STEP EXPLINATION


A right angle is exactly 90 degrees, so if the pentagon has 108 degree angles, it’s not a right Angle!

The parallelogram has 107 degree angles and 73 degree angles, it’s not exactly 90.
The trapezoid has two right angles! The two sides make a right angle at the vertex! So, it has a right angle!
Same thing for the rectangle!



HOPE THIS HELPS! HAVE A GREAT DAY!

Answer:

in the picture

Step-by-step explanation:

the sign you see at the corners with arrows (see drawing) indicate a right angle

Simplify $\frac{4}{\sqrt{3}}$

Answers

The fraction in simplest form is 4 sq root 3/3
Decimal form is 2.3094

△ABC ≅ △DEF.
Find the measures of the given angles or the lengths of the given angles.

1). m∠B=3y, m∠E=6y-12

2). AC=7a+5, DF=5a+9

Answers

The measures for the given angles B and E are 12° .

Similarity Triangle

Triangles are similar when the correspondent angles and the ratio of correspondent sides are equal. Also, it must present the same shape, but it is not mandatory the same dimension.

Like the triangles are similar,  ∠B=∠E. Then,

∠B=∠E

3y=6y-12

3y-6y=-12

-3y=-12

y=4

You can write too:

AC=DF

7a+5=5a+9

7a-5a=9-5

2a=4

a=2

Therefore,

∠B=3y= 3* 4 =12

m∠E=6y-12=6*4-12=21-12=12

AC=7a+5= 7*2+5=14+5=19

DF=5a+9=5*2+9=10+9=19

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please help! 7th grade math

Answers

Answer:

q 3 = 3/12.2/9 q4 = 15/40.14/39

Lukas is researching animals for a project. He has already researched 8 animals in school and continues to research 2 new animals each week from home. Choose the equation where w represents the number of weeks since Lukas started his research at home and n represents the number of animals Lukas has researched.
PLEASE ANSWER

Answers

Answer:

8+2w=y

Step-by-step explanation:

Cube: Find the surface area of a cube with side 5 inches.

Answers

Answer:

We are given the dimension of the side being 5 inches and it states that we need to determine the surface area.  The first step that we must do is find the area of one side and then we multiply it by 6 because we have 6 same sides.

[tex]A = s^2[/tex]

[tex]A = (5\ in)^2[/tex]

[tex]A = 25\ in^2[/tex]

Now that we have the area of one side we can multiply it by 6 to get the total surface area.

[tex]A = 25\ in^2 * 6[/tex]

[tex]A = 150\ in^2[/tex]

Therefore, our final answer is that the surface area is 150 inches squared

Hope this helps!

Answer:

150 square inches

Step-by-step explanation:

find the area of 1 square face

5*5=25

multiply by 6 faces

25*6=150

please help me outttt

Answers

Answer:

(-1, 4) and (2, 7)

Step-by-step explanation:

Graphs f(x) & g (x) are intersecting each other.

-> f(x) = g(x)

[tex]\implies x^2+3 =x + 5[/tex]

[tex]\implies x^2+3 -x -5=0[/tex]

[tex]\implies x^2 -x -2=0[/tex]

[tex]\implies x^2 -2x +x-2=0[/tex]

[tex]\implies x(x -2) +1(x-2)=0[/tex]

[tex]\implies (x -2)(x+1)=0[/tex]

[tex]\implies (x -2)=0,\:\: (x+1)=0[/tex]

[tex]\implies x=2\:\: x=-1[/tex]

[tex]\implies x=-1,\:\:2[/tex]

When x = -1

[tex]f(x) = (-1)^2+3 = 1 +3 = 4 [/tex]

-> (x, f(x)) = (-1, 4)

& When x = 2

[tex]f(x) = (2)^2+3 = 4 +3 = 7 [/tex]

-> (x, f(x)) = (2, 7)

Thus, the points of intersection of the functions f(x) and g(x) are (-1, 4) and (2, 7)

Greenwood Middle School is having a math competition. Four students are called to the stand to answer a question. The question is:

51.32 – 11.98

Answers

Answer: 39.34

Step-by-step explanation:

HELP ASAP PLSS
A local water park has two types of season passes. Plan A costs a one-time fee of $143 for admission plus $8 for parking every trip. Plan B costs a one-time fee of $52 for parking plus $21 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value?

Answers

OMG. I GOT IT ITS 7.

Help asap.

Given the expression: 5x^10 − 80x^2

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B:Factor the entire expression completely. Show the steps of your work. (6 points)

Answers

Answer:

5x² ( x² - 2x + 2 ) ( x² + 2x + 2 ) ( x² + 2 ) ( x² - 2 )

Step-by-step explanation:

→ Find the highest common factor from 5 and 80

5

→ Find the highest common factor of x¹⁰ and x²

→ Write the partially factored form

5x² ( x⁸ - 16 )

→ Factor down ( x⁸ - 16 )

( x⁴ + 4 ) ( x⁴ - 4 )

→ Factor down ( x⁴ + 4 ) ( x⁴ - 4 )

( x² - 2x + 2 ) ( x² + 2x + 2 ) ( x² + 2 ) ( x² - 2 )

Answer:

5x^2(x^8 -16)5x^2(x^2 +2x +2)(x^2 -2x +2)(x^2 +2)(x^2 -2)

Step-by-step explanation:

The greatest common factor is that factor that includes every prime factor that is found in both expressions. Once that is removed, the formula for the factorization of the difference of squares is needed.

__

A

Each expression factors as ...

  5x^10 = 5·x^2·x^8

  80x^2 = 5·x^2·16

The common factors in these expressions are 5, x^2, so the expression with the greatest common factor factored out is ...

  5x^2(x^8 -16)

__

B

The remaining factor is the difference of squares, which factors as ...

  a² -b² = (a -b)(a +b)

Here, we have a=x^4 and b=2^2, so the factors of the difference are ...

  x^8 -16 = (x^4 -4)(x^4 +4)

The first of these factors is also recognizable as a difference of squares, so it can be factored further:

  x^4 -4 = (x^2 -2)(x^2 +2)

The second factor can also be cast as the difference of squares, allowing it to be factored further:

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

  = (x^2 +2x +2)(x^2 -2x +2)

So, the complete factorization of the original expression is ...

  5x^10 -80x^2 = 5x^2(x^2 +2x +2)(x^2 -2x +2)(x^2 +2)(x^2 -2)

_____

Additional comment

We could factor to linear terms if we wanted to use radicals and complex numbers. This is the factorization in integers.

PLEASE HELP WILL MARK BRAINLIEST

8-10

Answers

Answer:

[8] Area is = to 1017.36            Circumference is = to 113.04

[9] Area is = 490.625             Circumference is = 78.5

[10] D  = 16                                R = 8

Step-by-step explanation:

[8]

Area is = to 1017.36

Circumference is = to 113.04

Formula:

Area = πr²

Circumference = 2πr

Solve:

A =  πr²

A = 3.14(18) ²

A = 3.14(324)

A = 1017.36

C= 2πr

C = 2(3.14)(18)

C = 113.04

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Area = 490.625

Circumference is = 78.5

Formula:

Area = πr²

Circumference = 2πr

Solve:

Area = πr²

A = 3.14(12.5)²

A = 3.14(156.25)

A = 490.625

Circumference = 2πr

C = 2(3.14)(12.5)

C = 78.5

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[10]

Circle area = π * r² = π * 64 [cm²] ≈ 201.06 [cm²]

π ≈ 3.14159265 ≈ 3.14

d = r * 2 = 8 [cm] * 2 = 16 [cm]

Hence,

D  = 16

R = 8

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Kavinsky

Najib cuts out a rectangle that has a perimeter of 50 inches and a length of 17 inches.He cuts out another rectangle that is the same length and twice as wide. What is the perimeter of the new rectangle.

Answers

Answer:

66 inches

Step-by-step explanation:

perimeter = 2(l+b)

here, perimeter is 50 and length is 17

let the width be x,

=>    50 = 2(17+x)

=>    50 = (2*17)+(2*x)

=>    50 = 34 + 2x

=>    50 - 34 = 2x                      [transposing method]

=>    16 = 2x

=>    16/2 = x

=>     8 = x

8 inches = width of the first triangle

we know, the other rectangle's length is 17

and it is said that the width is twice the width of the first triangle

so the length = 17, width = 2*8 = 16

for the perimeter

p = 2(l+b),

=>       p =  2(17+16)

=>       p =  (2*17)+(2*16)

=>       p =   34+32

=>       p  =   66

          so the perimeter of the other rectangle is 66

Answer:

66

Step-by-step explanation:

that answer was incorrect. change your answer and try again!

Tajiq spent $75 on clothes they bought a shirt and three pants. If the shirt cost $15 how much was each pair of pants if they all were the same price? Show your work

Answers

Answer:

each pair of pants was $20 each

Step-by-step explanation:

75-15=60

60/3=20

Find (a) arc length and (b) Area of a sector.

Answers

Answer:

a) 19.63 mm (2 dp)

b) 245.44 mm²  (2 dp)

Step-by-step explanation:

Formula

[tex]\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)[/tex]

[tex]\textsf{Area of a sector}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}[/tex]

Calculation

Given:

[tex]\theta[/tex] = 45°r = 25 mm

[tex]\begin{aligned}\implies \textsf{Arc length} &=2 \pi (25)\left(\dfrac{45^{\circ}}{360^{\circ}}\right)\\ & = 50 \pi \left(\dfrac{1}{8}\right)\\ & = \dfrac{25}{4} \pi \\ & = 19.63\: \sf mm \:(2\:dp)\end{aligned}[/tex]

[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\left(\dfrac{45^{\circ}}{360^{\circ}}\right) \pi (25)^2\\& = \left(\dfrac{1}{8}\right)\pi \cdot 625\\& = \dfrac{625}{8} \pi\\& = 245.44\: \sf mm^2 \:(2\:dp)\end{aligned}[/tex]

Please note:  As you have not specified if π should be approximated, I have not used an approximation for π.

The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. the linear equation models the income, in dollars, from selling x plastic combs; the quadratic equation models the cost, in dollars, to produce x plastic combs. according to the model, for what price is each comb being sold? startlayout enlarged left-brace 1st row y = startfraction x over 2 endfraction 2nd row y = negative 0.03 (x minus 95) squared 550 $0.03 $0.50 $0.95 $2.00

Answers

The price of each comb is $0.5, and the total income from selling x plastic combs is y = x/2

What is an equation?

An equation is an expression that shows the relationship between two or more number and variables.

The linear equation y = x/2 models the income, in dollars, from selling x plastic combs. Hence:

Price of each comb = (x/2) / x = 0.5

The price of each comb is $0.5, and the total income from selling x plastic combs is y = x/2

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Answer: B. $0.50

Step-by-step explanation:

Took the Test/Exam

If no digit can be used more than once, find how many numbers that can be formed from the digits 3, 4, 5, 6, 7, 8 are greater than 7000.​

Answers

Answer:

1 560

Step-by-step explanation:

If no digit (from the digits 3, 4, 5, 6, 7, 8) can be used more than once :

we can form 6P5 = 720 (five-digit numbers) and they are all > 7000

we can form 6P6 = 720 (six-digit numbers) and they are all > 7000

if our number has four digits ,then the digit in the ten-thousands place of it must be 7 or 8 :

In this case :

we can form 5P3=60 number where the digit in the ten-thousands place of it is 7.

and we can form 5P3=60 number where the digit in the ten-thousands place of it is 8.

Final answer :

We can form 720+720+60+60 = 1 560 number greater than 7000

Need help with my Study Island math. Wh I can help?

Answers

Step-by-step explanation:

scientific notation is

a.b × 10^c

with a being <> 0.

0.0002 cm = 2.0×10^-4 cm (the "2" moves 4 positions to the right for the actual number).

so, this is between 1.0×10^-4 cm and 1.0×10^-3 cm.

0.02 cm = 2.0×10^-2 cm (the "2" only need to move 2 positions to the right for the actual number).

so, this is between 1.0×10-2 cm and 1.0×10^-1 cm.

200 cm = 2.0×10² cm (now the "2" needs to move 2 positions to the left for the actual number).

so, this is between 1.0×10² cm and 1.0×10³ cm.

20,000 cm = 2.0×10⁴ cm (the "2" has to move 4 positions to the left for the actual number).

so, this is between 1.0×10⁴ cm and 1.0×10⁵ cm.

Select the correct answer from each drop-down menu. a container holds 50 electronic components, of which 10 are defective. if 6 components are drawn at random from the container, the probability that at least 4 are not defective is . if 8 components are drawn at random from the container, the probability that exactly 3 of them are defective is .

Answers

The probability of exactly 3 of the containers being defective is given as 0.1468

How to solve for the probability

We have to set p as the  probability of container being non- defective

We have p as the  probability of container being defective 50 - 10 = 40

p = 40/50

= 0.8

q = 10/50

= 0.2

P(3) = 8c3 * 0.2² * 0.8⁵

= 0.1468

Hence the probability that the container has exactly 3 defective containers is 0.1468

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What is the product? 2/3×1/5

Answers

2/15 is the correct answer

Answer:

0.13

Step-by-step explanation:

2/3×1/5 = 0.13

Which equation can be used to find A, the area of the parallelogram shown?

Answers

Answer: A = 6 x 7  

Explanation:

The area of a parallelogram is equal to base times height.

The base and height are always perpendicular to one another. Usually the base is horizontal along the ground (if not then you'd need to rotate your paper until it is, but that step is optional).

The base is 6 meters and the height is 7 meters.

Therefore, area = base x height = 6 x 7

The side of 11 meters is not used at all. It's likely put in there as a distraction.

Answer:

A = 6 * 7

Step-by-step explanation:

A parallelogram follows the same rules as a regular quadrilateral, as the only difference is that both its sides have been moved along.

You invest $2000 compounded monthly at 9%, how much money do you have in 10 years?

Answers

Answer: The final balance is $4,734.73

I need help please !!!!!!!

Answers

Answer:

4 and 3/4 is the 5th shortest piece

a third of 4 and 3/4 is 1 and 7/12

the answer is: 1   7/12  in.

Step-by-step explanation:

4 and 3/4 is 19/4

19/4 divided 3 is 19/4 *1/3 = 19/12 = 1 7/12

In a board game, there is a 29 chance of drawing a card that gives a player a double turn. The remaining cards are single-turn cards. A player wants to run a simulation to estimate the probability of drawing two double-turn cards in a row, assuming the first card is replaced, and the deck is shuffled afterward.

Answers

Probability helps us to know the chances of an event occurring. The probability of getting a double card in a row is 0.311.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability of drawing a single double turn card for the first time, therefore,

Probability = 29/52

Further, given the card is replaced and reshuffled, therefore, the probability of getting a double card again will be,

Probability = 29/52

Thus, the probability of getting a double card in a row can be written as,

Probability = (29/52)×(29/52) = 0.311

Hence, the probability of getting a double card in a row is 0.311.

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Find the unit rate.

392 orders in 4 days =
orders per day

Answers

---Divide the numerator and denominator by 4. We do this because we want to know how many orders are in 1 day and 4 / 4 = 1.

392 orders / 4 days

98 orders / 1 day

Hope this helps!

Factor 6x^2+14x.
Please, help

Answers

Factor 2x from 6x².

2x (3x)+14x

Factor 2x from 14x.

2x (3x) + 2x (7)

Factor 2x from 2x (3x) + 2x (7).

2x(3x+7) ====> Answers

Answer:

(2x)(3x + 7)

Step-by-step explanation:

Hello!

We can factor this expression by taking out the GCF of both the terms.

The GCF is 2x, because it is the largest factor that is in common between 6x² and 14x

Factor6x² + 14x2x(3x) + 2x(7)(2x)(3x + 7)

The factored expression is (2x)(3x + 7)

Look at the image!

iready

Answers

a =80 vertically oposite angle

a+b=180 angle of the same side of transversal are 180 degree

so b=180-80

=100

c=b vertically oposite angle

b=100=c

c= 100

I hope it's helpful for you

Answer:

a=80, b=100, c=100

Step-by-step explanation:

Because A is directly across from 80 degrees, A is also 80 degrees. They are alternate angles, and so they equal the same thing. B is 100, because it is on the same line as 80, and a line equals 180 degrees. C is also 100 degrees, because it is across from B and on the same line as A, which is 80 degrees.

Hope this helps!

The area of undeveloped land in a suburban town is decreasing at a rate of 17.3% annually. in 2016, there were 3,400 acres of undeveloped land. if t represents the number of years since 2016, which equation can be used to determine after how many years the town will have 900 acres of undeveloped land remaining?

Answers

Based on the rate of decrease and the acres of undeveloped land, the equation to determine the number of years till 900 acres is remaining is B)900 = 3,400(0.827)^t.

Which equation shows the number of years till 900 acres are remaining?

As 900 acres is the target number of acres to remain, this will be on the left side of the equation as the y value.

The right side of the equation would be:

= Current number of acres remaining x ( 1 - rate of decrease) ^ number of years

= 3,400 x ( 1 - 17.3%) ^ number of years

Putting them together:

900 = 3,400(0.827)^t.

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Which quadratic model best represents the data? f(x) = –16x2 99x 6 f(x) = –36x2 37x 5 f(x) = 36x2 37x 5 f(x) = 16x2 99x 6

Answers

The quadratic model that represents the data will be A. -16x² - 99x + 6.

What is a quadratic model?

It should be noted that a quadratic model simply means a model that is represented by a quadratic equation in the form of y = ax² + bx + c.

From the complete question, the quadratic model that represents the data will be -16x² - 99x + 6.

In conclusion, the correct option is A.

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Answer:

Step-by-step explanation:

1/4 of the students in guitar class attended class today. Only 3/4 of the students share guitars. What fraction of the class shares guitars?

Answers

Answer:

3/16 of the class share guitars today.

Step-by-step explanation:

1/4 x 3/4 = 3/16! :)

Other Questions
Which of the following would be an inconclusive pregnancy test (not negative) when using a lateral flow test to detect pregnancy-related hormones in urine? Consider an isosceles trapezoid rotated about an axis of symmetry that passes through the midpoint of the bases. the minor base of the trapezoid is 10 cm and the major base is 13 cm. what is the perimeter of the horizontal cross section if the cut is made at the middle of the height of the trapezoid? Select the incorrect verbs in the text below. There are 3 in total. Sam and I love going to the cinema. But we absolutely hates seeing fantasy films. They is boring and long-winded and too difficult to follow. There are too many characters a lot of the time as well. I prefers action films. Sam loves to see horror films. Multiply: (x 4)(x2 2x 3) simplify and write your answer in standard form. Help me with this please 20 points down below Philippe went to the farmer's market and spent $2.35 on apples, $1.85 on bananas, and $3.10 on blueberries. How much did Phillipe spend in total? $7.30 $7.55 $8.30 $8.55 Select the verb that makes sense in the context of the sentence.1. Juan ______ trabajar maana.a. tieneb. tiene quec. tienesd. tienes que Trey is explaining to his little brother Alex what he can expect tohappen to his body during puberty. Which statement of Trey's isINCORRECT?You will only gain muscle if you work out like I do.O Your voice will get deeper, but it might "crack" from time to time.O Your shoulders will get broader.0 You will start to grow hair on your upper lip. explain the relationship between occupation and education with example A 5-pound bag of candy costs $13.05. What is the unit price? Include your introduction paragraph from your introduction lesson.Write three body paragraphs for your article.Write a topic sentence for each body paragraph.Clearly support your topic sentence with valid evidence from your research.Use signal phrases with a direct quote in your article.Use transition phrases to connect ideas, sentences, and paragraphs.Use precise language to show your understanding of your topic.Use correct grammar, punctuation, and spelling.Write in the third person point of view. OMG SOMBODY HELP BRO I NEED TO LEARN MORE ON JELLY FISH PLEASE BRO what ctrl to show the font dialog box If 0.8Vx160=0.9Vx45Get the value of V I need help will someone help In which year the rule of East India company was ended ? click on the picture and please help this is due in 1 hour! help me with math please NEED HELP ASAP 45 POINTSWhat sequence of transformations when applied to triangle HIG, shows that triangle HIG is similar to triangle HIG And I think about all the things we could beif we were never told our bodies were not built for them. what does the poem mean, give me at least 5 sentences ill give u brainly After Predicting the possible consequences of identified hazards, the motorist is able to ___________ the most effective (lowest risk) action to implement for the purpose of avoiding an interaction with the hazard.