solve for x please refer to image

Solve For X Please Refer To Image

Answers

Answer 1

Answer:

x = 40

Step-by-step explanation:

Sum of interior angle of an n-polygon = (n - 2)*180

The polygon given is pentagon with 5 sides.

Sum of the polygon = (5 - 2)*180 = 540°

Therefore, sum of all its interior angles would be:

5x + 150 + (3x - 30) + 70 + (2x - 50) = 540°

Solve for x

5x + 150 + 3x - 30 + 70 + 2x - 50 = 540

Collect like terms

5x + 3x + 2x + 150 - 30 + 70 - 59 = 540

10x + 140 = 540

10x = 540 - 140 (Subtraction property of equality)

10x = 400

x = 400/10 (division property of equality)

x = 40


Related Questions

need the answer help

Answers

Answer:

Both expression equals 5 when substituting 2 for x, because the expressions are equivalent.

Step-by-step explanation:

Given the expressions:

(1/2)x + 4

x + 6 - (1/2)x - 2

Substituting 2 for x in the equation :

(1/2)x + 4

x = 5

(1/2)2 + 4

2/2 + 4

1 + 4

= 5

x + 6 - (1/2)x - 2

Substituting 2 for x

2 + 6 - (1/2)2 - 2

8 - 2/2 - 2

8 - 1 - 2

= 5

What is the difference between a fossil and an artifact?

Answers

Answer:

An artifact is an item made by a human being, while a fossil is a preserved remain of a pre-historic animal.

Find x - y subtracted from 0.
a. -x+y
b. -y-x
c. x-y​

Answers

The answer is A I know it has to be if I’m wrong though I’m sorry but I swear it’s A

What is the equation of the line that passes through the point (4,7) and has a slope of -1/4

Answers

Answer:

Step-by-step explanation:

since you are given the slope and a point....

use point slope formula y-y1 = m(x-x1)

y - 7 = -1/4 (x - 4)

then get that into the slope intercept form , use the  formula  y = mx + b as your target

y -7 = -1/4x +1

y =  -1/4x +1 +7

y = -1/4x + 8      that's  your answer

Divide 4a^2 -12ab + 9b^2 by 4a^2 -9b^2​

Answers

Answer:

4a(a+b−c)Step-by-step explanation:

4a

2

+4ab−4ca

The common factor =2×2×a

Thus, 4a

2

+4ab−4ca

=4a(a+b−c)

Which bag if candy is the better buy and why? (Trents mom shopping)

Answers

Answer:

almond joy

Step-by-step explanation:

its good in my opinion

can u pls help me with this question ​

Answers

Answer:

I cannot see the whole thing

Answer:

Its easy. What grade are you in?

Step-by-step explanation:

What is the simplified base for the function f(x) = 2(7272)?​

Answers

Answer:

The simplified base is 9

Step-by-step explanation:

The question is not quiet correctly displayed, it should be:

f(x) = 2[tex]\sqrt[3]{27^2^x}[/tex]

Simplifying:

f(x) = 2[tex]\sqrt[3]{27^2^x}[/tex] = 2[tex]\sqrt[3]{3^3*^2^x}[/tex] = 2(3²ˣ) = 2(9ˣ)f(x) = 2(9ˣ)

The simplified base is 9

2. Rachel makes cranberry almond cookies. The number of cups of cranberries and the number of cups of almonds are shown in the table below. What is the ratio of cups of cranberries to cups of almonds?

Answers

Answer:

Step-by-step explanation:

By 2 for the first one.      And for 2 they skip counting by 6

Which equation has infinitely many solutions?
A.
-5(x + 2) = -4x- 12 - X + 2
B.
3x- 4 + 2x = 5(x-4)
c. 5(x + 7) = -5(x-7)
D
6x+ 2 - X=-2x - 2 + 7x

Answers

Answer:

A. -5(x + 2) = -4x - 12 - x + 2

Step-by-step explanation:

The equation that has infinitely many solutions will be the same on both sides.

A is the correct answer.

Simplify the equation by distributing -5 and adding like terms:

-5(x + 2) = -4x - 12 - x + 2

-5x - 10 = -4x - 12 - x + 2

-5x - 10 = -5x - 10

So, this equation is the same on both sides and will have infinitely many solutions.

A is the correct answer.

Answer:

A has infinitely many solutions

Step-by-step explanation:

Once you distribute A you get

-5x-10= -4x-12-x+2

Once you simplfy all that you get

-5x-10= -5x-10

You can check this by putting in a random number and both sides will be equal.

PLEASE HELP!! please do all steps! i’ll mark as brainliest!!!

Answer the following questions using what you've learned from this unit. Write your
responses in the space provided.
1. Factor the polynomial. (2 polnts)
-3x4 - 9x3 + 15x2
2. Use the grouping method to factor the polynomial below completely. (4 points)
10x3 - 35x2 + 6x - 21

Answers

Answer: 1. 3x^2(-x^2-3x+5). 2. (2x-7)(5x^2+3)

Step-by-step explanation:

(1) Find the greatest common factor - 3x^2. Simplify as much as possible.

(2) Split 10x^3 - 35x^2 and 6x-21 into two separate groups. Factor each group separately to get 5x^2(2x-7) and 3(2x-7). The numbers in the parentheses should be the same for each group - (2x-7). Take the numbers outside of the parentheses and put them together to get (5x^2+3). Your final answer will be (2x-7)(5x^2+3).

1. The required factor of the polynomial is

(-3x²)(x²+3x-5).

2. The required factor of the polynomial using grouping method, the answer is (5x²+3)(2x-7).

What is a polynomial?

"A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables."

What is factorization of a polynomial?

"The factorization of polynomials or polynomial factorization expresses a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain.

There are six different methods to factorizing polynomials. One of those methods is factorization of a polynomial by grouping method."

1. The given polynomial is

[tex]-3x^{4} - 9x^{3} + 15x^{2} \\= - 3x^{2}(x^{2}+3x-5)\\[/tex]

Therefore, by factorizing the given polynomial, we get:

[tex]- 3x^{2}(x^{2}+3x-5)[/tex].

2. The given polynomial is

[tex]10x^{3}-35x^{2} +6x-21[/tex]

We need to factorize it using grouping method.

Therefore,

[tex]10x^{3}-35x^{2} +6x-21\\= 5x^{2}(2x-7)+3(2x-7)\\= (5x^{2} +3)(2x-7)[/tex]

Hence,

1. The required factor of the polynomial is

(-3x²)(x²+3x-5).

2. The required factor of the polynomial using grouping method, the answer is (5x²+3)(2x-7).

Learn more about the factorization of a polynomial here: https://brainly.com/question/10499871

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The time period, T, of a simple pendulum is directly proportional to the square root of the length, d, of the pendulum.

When d=6, T=5

Find the value of T when d=3

Input note: give your answer correct to 2 decimal place.

Answers

Answer:

[tex]T = 3.54[/tex]

Step-by-step explanation:

Given

Direct Variation of T to [tex]\sqrt d[/tex]

[tex]d =6;\ when\ T = 5[/tex]

Required

Determine T when d = 3

The variation can be represented as:

[tex]T\ \alpha\ \sqrt d[/tex]

Convert to equation

[tex]T = k\sqrt d[/tex]

[tex]d =6;\ when\ T = 5[/tex]; so we have:

[tex]5 = k * \sqrt 6[/tex]

Make k the subject:

[tex]k = \frac{5}{\sqrt 6}[/tex]

To solve for T when d = 3.

Substitute 3 for d and [tex]k = \frac{5}{\sqrt 6}[/tex] in [tex]T = k\sqrt d[/tex]

[tex]T = \frac{5}{\sqrt 6} * \sqrt{3}[/tex]

[tex]T = \frac{5\sqrt{3}}{\sqrt 6}[/tex]

[tex]T = \frac{5 * 1.7321}{2.4495}[/tex]

[tex]T = \frac{8.6605}{2.4495}[/tex]

[tex]T = 3.5356[/tex]

[tex]T = 3.54[/tex] -- approximated

Find the missing y-coordinate that makes the two triangles congruent. Triangle ABC: A(8,4), B(2,6), C(5, 0) Triangle MNO: M(7,4), N(1,2), O(4, y)

Answers

Answer:

negative 2

Step-by-step explanation:

{6x+6y=18
{2x-6y=-10

Answers

Answer:

x = 1, y = 2

Step-by-step explanation:

this system is set up nicely to just add because then the y-value will be eliminated and you will have:

8x = 8

x = 1

get y value:  2(1) - 6y = -10

                    2 - 6y = -10

                     -6y = -12

                      y = 2

What input is NOT allowed for f(x)
4/-X + 1

Answers

Answer:

x ≠ 1

Step-by-step explanation:

If 1 is used, this will happen:

f(x) = 4/-(1) + 1

f(x) = 4/-1 + 1

f(x) = 4/0 = Undefined

a bag contains only red , yellow brown and green marbles
the probabilities of selecting each colour are below
red - 5x
green - 2x
brown - 3x
yellow - 4x
find the probability of selecting a green marble

Answers

Answer:

1/7

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur. this is expressed as;

Probability = Expected outcome/Total outcome

From the question, the total number of marbles is the total outcome

Total outcome = 5x + 2x + 3x + 4x

Total outcome = 14x

Since we are to find the probability of selecting a green marble, the expected outcome will be total number of green marbles which is 2x

Pr(selecting green marbles) = 2x/14x

Pr(selecting green marbles) = 1/7

Hence the probability of selecting a green marble is 1/7

The measures of the angles of a triangle are shown in the figure below. Solve for x.
(4x-6)
73°
57°

Answers

Answer:

14°

Step-by-step explanation:

Sum of angles is 180°

57 + 73 + (4x - 6) = 180

130 + 4x - 6 = 180

4x = 180 - 130 + 6

4x = 56

x = 14°

Triangle A B C is cut by line segment M N. Line segment M N goes from side A B to side B C and cuts both sides into equal parts. The lengths of A M and M B are 88 centimeters, the lengths of C N and N B are 75 centimeters, and the length of A C is 116 centimeters. What is the length of Line segment M N? 58 cm 75 cm 88 cm 116 cm

Answers

Answer:

A

Step-by-step explanation:

Edge

The measure of MN is equal to 58cm, the correct option is A.

What is a Triangle?

A triangle is a polygon with three sides, vertices and angle.

Triangle A B C is cut by line segment M N.

such that,

A M = M B = 88 centimeter

CN =NB = 75 centimeter

AC = 116 centimeter

If a line segment joins the mid-points of two sides of a triangle, then the line segment is parallel to the third side of the triangle and the measure is equal to half of its length.

MN = (1/2) AC

MN = (1/2) * 116

MN = 58 centimeter

To know more about Triangle

https://brainly.com/question/2773823

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3. El grupo de Mariana se organizó en seis equipos. Cada equi-

po cumplirá con tres comisiones al mismo tiempo (aseo, pun-

tualidad y orden) durante una semana. Los equipos irán par-

ticipando en orden numérico durante el primer cuatrimestre

del ciclo escolar; los turnos se iniciarán la segunda semana de

clases. Mariana es integrante del equipo 4; ¿en qué periodos

le tocará participar? ¿Todos los equipos participarán el mismo

número de veces? ¿Por qué?

Answers

Answer:

¿en qué periodos  le tocará participar?

El equipo cuatro participa en el periodo 5 - 11 - 17

¿Todos los equipos participarán el mismo  número de veces?

Todos los equipos los hacen 3 veces . menos 1 equipo que lo hace 2 veces

¿Por qué?

Cuatrimestre. =  120 dias

Numero de semanas = 120/ 7  17,1

17 semanas completas 3 dias

No se trabaja la primera semana. por lo que quedan 16 semana 3 dias.

Son 6 equipos para participar todos serian por lo menos 17 semanas 1 dia.

Step-by-step explanation:

Cuatrimestre. =  120 dias

Numero de semanas = 120/ 7  17,1

17 semanas completas 3 dias

No se trabaja la primera semana. por lo que quedan 16 semana 3 dias.

Son seis equipos.   17 ( 16,3) semanas / 6

Todos los equipos los hacen 3 veces . menos 1 equipo que lo hace 2 veces

Semana 1 2 3 4 5 6

Equipos

1        

2  X      

3   X    

4    X    

5     X  

6      X  

7       X

8  X      

9   X    

10    X    

11     X  

12      X  

13       X

14  X      

15   X    

16    X    

17     X  

18      X  

PLEASE HELP!!!!!

Which of the following is not an exponential function?

Answers

Answer:

g(x)=x3

Step-by-step explanation:

g(x)=x3 is not an exponential function

A pyramid has cross-sectional shapes taken parallel to its base that are___ to one another

Answers

Answer:

The fill in the blank is the word similar.

Step-by-step explanation:

A pyramid has a cross-sectional shapes, taken parallel to its base, that are similar to one another.

When we do the cross-section of a pyramid parallel to its base, the cross-section formed will be in the same shape like the base.

Whenever a cross section is done parallel to the base of any pyramid, the resulting shape will be same like the base. As we move up in the pyramid and cross section it, the shape formed will be like the base but with smaller dimensions. But the shape will be the same as the base.

Answer: Similar

Step-by-step explanation:

Which of the following is a vertical line?
1) y = 6

2) x = 6

3) y = 6x - 4

4) y = -x

Answers

Answer:

2) x = 6

Step-by-step explanation:

A vertical line is a line that goes up and down, where x goes not change

It is of the form x=

x =6 is a vertical line

Answer:

It is 2) x=6

Step-by-step explanation:

Since the x axis is the vertical side, it would be vertical. The line would also be vertical, the others are horizantal and are not vertical.

51) Write the equation of the line passing through (-2, 5) and perpendicular x + 3y = 15.​

Answers

Answer: plz mark me brainliest

Step-by-step explanation:

I need points to ask a question

Find the quotient of -4 and -9​

Answers

The answer to the question is 0.4 repeating
The answer is 0.4, being a repeating decimal

If g(x) is the inverse of f(x) and f (x) = 4 x + 12, what is g(x)?

Answers

Answer:

[tex]let \: the \: inverse \: of \: f(x) \: be \: m \\ m = {f(x)}^{ - 1} \\ m = {(4x + 12)}^{ - 1} \\ m = \frac{1}{(4x + 12)} \\ m(4x + 12) = 1 \\ 4x = \frac{1}{m} - 12 \\ x = \frac{1}{4m} - 3 \\ therefore \\ g(x) = \frac{1}{4x} - 3[/tex]

Answer:

g(x) = 1/4 x -3

Step-by-step explanation:

f (x) = 4 x + 12

g(x) = f⁻¹(x)

step 1: re-write as linear equation     y = 4x+12

step 2: swap x and y       x = 4y + 12

step 3: solve y     4y = x - 12      y = 1/4 x -3

step 4: inverse notation: f⁻¹(x) = 1/4 x - 3   i.e. g(x) = 1/4 x -3

write a congruence statement for each pair of congruent figures

Answers

Answer:

Triangles are congruent because all the corresponding sides and interior angles are congruent.

Step-by-step explanation: did it help? plz like if did

2(x+3)=x - 4
What is the answer pls

Answers

X=-10 I am pretty sure

Answer:

X= -10

Step-by-step explanation:

This is the answer wait I will show u the steps

Look at the system of equations graphed below.
What is the solution to the system?
A. X=4, y=-2
68
B. X=4, y=1
5
4
C.x=1, y=-2
3
D D. x=2, y=-1
2
.
2.
4 5 6
-6-5-4 -3 -2 -1 0 1
-1
-3
-4
-5

Answers

Answer: The correct answer to the equation is B.

Hope this helps :)

Not my handwriting sorry if it's sloppy.

Would anyone like to help me

Answers

1st system: 2x = 14 <=> x = 7

2nd system: 2x = 4 <=> x = 2
22. X=7 Y=5
23. X=2 Y= -2

Solve the inequality for u. 7+u>-10

Answers

Answer:

Answer and steps in the pic

Step-by-step explanation:

u > -17

u=-17
explain:

Move the constant to the right-hand side and change its sign

Calculate the difference

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