What is the value of x? (HINT: find the sum of the
interior angles of the pentagon first)

What Is The Value Of X? (HINT: Find The Sum Of Theinterior Angles Of The Pentagon First)

Answers

Answer 1

Answer:

(2x+10°) + (x°) +(2x-20°) = 540°

540 is the sum angle of the polygon

collect like terms

2x+x+2x+10°-20°=540°

5x-10°=540°

5x=540°+10°

5x=550°

x=550°/5

x=110°

(2(110)+10)+(110)+(2(110)-20)=540°


Related Questions

please help.....hhjkjvksksksjd

Answers

Answer:

the graph's slope-intercept is 3 or 3/1. you do this by finding the rise over run (how many squares does it go up, and how many does it go over).

The Y-intercept is -2. You can always find this by using the formula y= mx + b. Whatever number is in the place of "b" is the y-intercept.

I'm going to take a guess and say you're in Algebra 1. Either that or Pre-Algebra. This stuff took me a little while to full grasp, so don't worry! YOu'll understand it soon enough!

Can anyone help explain this math equation like I gotta turn this math in by midnight tonight!! I will give brainlist btw!!

Answers

Answer: 1) 288 inch^3

2) 960 inch^3

3) 188 cm^3

4) 44 inch^3

5) 396 ft^3

6) 552 inch^3

Step-by-step explanation:

1) (2*3)(3*2)(2*4)=288 inch^3

2) (4*5)(4*3)(4*1)=960 inch^3

3) 4*4*8+3*4*5=188 cm^3

4) 2*2*8+2*6*1=44 in^3

5) 4*6*6+6*6*7=396 ft^3

6) 8*6*10+4*3*6=552 in^3

A company makes 120 bags.
28 of the bags have buttons but no zips.
41 of the bags have zips but no buttons.
23 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?

Answers

Answer:

7/15

Step-by-step explanation:

You have 120 bags. 64 of them in total do not contain buttons.

120 - 64 = 56

You have 56 bags with buttons. The simple answer is,

56/120

You can simplify this down to 7/15

If you're looking for percent, the answer is 46.67%

What do () mean in math?

Answers

Parentheses are employed to indicate changes to the usual order of operations.

Define round brackets.

The well-known () symbols, often known as "round brackets," are used in pairs to group things together or designate the order of operations in an equation. You will frequently need to employ brackets in math when forming or resolving equations. They support number grouping and operation definition.

Mention other brackets as well.

{}, [] are other type of brackets.

In mathematical expressions, parentheses are employed to indicate changes to the usual order of operations (precedence rules). In an expression like, the portion of the expression enclosed in parentheses,, is first assessed, and the outcome is then incorporated into the remaining portions of the expression.

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How do you write 5 more than a number?

Answers

x+5 is the way we can write 5 more than a number.

In a formula or equation involving mathematical operations, the representation of numbers by alphabet is referred to as algebra.

Using the knowledge provided above, we must translate the mathematical statement provided in the question into an algebraic expression. Let's say that number is "x". The result of adding 5 to the provided number is a number that is 5 greater than this number. Thus, a number that is 5 more than x is equal to x+5. As a result, "5 more than a number" is represented by the algebraic expression "x+5".

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In ΔABC, M∠A = 56°and M∠B = 73°. what is M∠C?

Answers

Answer:

51

Step-by-step explanation:

triangles equal to 180, 56+73+51 equals 180 :)

brainliest pls

Answer:

m∠C  = 51°

Step-by-step explanation:

By definition of interior angles of a triangle, the ∑ΔABC's interior angles = 180°.

It is given that m∠A = 56° & m∠B = 73°. Set the equation:

56 + 73 + m∠C = 180

First, combine like terms:

(56 + 73) + m∠C = 180

m∠C + 129 = 180

Next, isolate the term, m∠C. Note the equal sign, what you do to one side, you do to the other. Subtract 129 from both sides:

m∠C + 129 (-129) = 180 (-129)

m∠C = 180 - 129

m∠C  = 51°

51° is your answer for m∠C.

~

A rectangle frame needs to be constructed so that its width and length are in a ratio of 3:4 and its diagonal is 25 inches. What is the perimeter of the frame?

Answers

Answer:

70 inches

Step-by-step explanation:

From the diagram attached,

Assuming the width, lenght and diagonal of the rectangle forms a right angle triangle.

Applying pythagoras theorem,

a² = b²+c²................... Equation 1

Where a = diagonal =  25 inches, b = width = 3x inches, c = length = 4x inches

Substitute these values into equation 1 and solve for x

25² = (4x)²+(3x)²

625 = 14x²+9x²

625 = 25x²

25x² = 625

x² = 625/25

x² = 25

x = √25

x = 5 inches.

Therefore,

Width(w) = 3×5 = 15 inches

Length(l) = 4×5 = 20 inches

Perimeter (P) = 2(l+b)

P = 2(15+20)

P = 2(35)

P = 70 inches

Hence the perimeter of the frame is 70 inches

Write a rule to calculate 1% of any number

Answers

If you are doing algebra the answer is most likely:

0.01 times x

0.01 is 1% and x is a variable that represents any number
0.01(x)

where x is the number

find the area of the shaded regions below. give your answer as a completely simplified exact value in terms of π (no approximations)

Answers

Answer:

Step-by-step explanation:

the area of the hemisphere is  1/2 [tex]\pi[/tex][tex]r^{2}[/tex]

the radius is 1/2 the diameter,

the diameter is also the hypotenuse of the isosceles triangle

[tex]d^{2}[/tex] = [tex]4^{2}[/tex]+[tex]4^{2}[/tex]

[tex]d^{2}[/tex] = 32

d =[tex]\sqrt{32}[/tex]

r = 1/2[tex]\sqrt{32}[/tex]

1/2[tex]\pi[/tex](1/2[tex]\sqrt{32}[/tex])^2

1/2[tex]\pi[/tex](1/4*32)

(32/8 )*[tex]\pi[/tex]

4[tex]\pi[/tex] ( the entire upper hemisphere )

area of the triangle is  1/2* 4 *4 = 8

then the exact area of the parts of the circle would be

4[tex]\pi[/tex] - 8    

How do you choose which variable to eliminate when doing elimination method?

Answers

Choose the variable whose numerical coefficients are smaller or have a smaller common multiple.

What is Elimination Method ?

In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

Elimination Method for a System of EquationsPut the two equations in standard form.Alternate the coefficients of one variable.To remove one variable, add the equations produced by Step 2.Find the solution for the last variable.Fill in one of the original equations with the solution from Step 4.Elimination has less steps than substitution. Elimination reduces the possibilities of mistakes as compared to other methods. Elimination is quicker.

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helppp PLEASEE !!! lol

Answers

Answer:

3.14 x 3.8^2 = 45.3416

* find the surface area

hope this helped

Step-by-step explanation:

Answer:

if your going by 3 as pie you would do this:

Step-by-step explanation:

3*3.8*3.8=43.32

)8th grade math, Pls help, will mark Brainliest (For the FIRST AND CORRECT answer)

Answers

The answer is W=-7/6
The answer is W= -7/6
Explanation : it’s just is

5. Name all the angles that correspond to angle 6 in the drawing
below.

Answers

It would be 2 and 14 because they are on the same side of the transversal

Please help me with this homework question. No silly answers please and no bots, links, etc! I will mark brainliest to whoever gets this right. Thank you!​

Answers

Answer:

T = (m × 20) + 25

(2.5 × 20) + 25 = 75

75 minutes

110 - 25 = 85

85 ÷ 20 = 4.25

4.25 kilograms

ine segment SU is dilated to create S'U' using point Q as the center of dilation. The scale factor of the dilation is

Answers

The scale factor of the dilation is 2. An expansion happens when the scaling factor's absolute value exceeds one.

What does a scale factor mean when defining dilation?

The scale factor is defined as the proportion of the new image's size to that of the previous image. A fixed location in the plane serves as the center of dilatation. The scale factor and the center of dilation are used to determine the dilation transformation. The image stretches if the scaling factor is greater than 1.

As per the rule of scale factor

Q'U'/QU = SF

SF= Scale factor

=    (5+5)/5= Scale factor

=      10/5= 2

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What is the sum of the measures of the exterior angles of the polygon shown below if necessary round to the nearest 10th

Answers

Answer:

24

Step-by-step explanation:

Number of sides = 15 (counted and it was a pain the a*s)

The total measure of the exterior angle = 360

= 360/15

= 24 degree

Each angle is measured 24 degree

The sum of the exterior angles of the polygon shown in the image is: 360°.

What is the Sum of Exterior Angles of a Polygon?

Regardless of the number of sides or angles a polygon has, the sum of exterior angles of any polygon is always 360 degrees.

Thus, the polygon given has 15 sides, however, the sum of all its exterior angles will still give 360 degrees.

Therefore, the sum of the exterior angles of the polygon shown in the image is: 360°.

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The reputation of a city has been decreasing exponentially since 1990. In 1990, the population was 1,000,000. In 2010, the population was 560,000. If t represents time in years since 1990, which of the following equations
best models the decay of the population?

Answers

Answer:

i think you have to soleve that srry

Determine the missing angle measure.

Answers

Answer:

Step-by-step explanation:

Since you already know that one of the angles is 21 degrees, this helps you A LOT. In total the line is 180 degrees so to find x you just do 180-21 which equals 159

x+ 159 degrees

The density function of the continuous random variable x, the total number of hours, in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is given below: f(x) = { x, 0 < x < 1 8 − x, 1 ≤ x < 2 0, otherwise Find the average number of hours per year that families run their vacuum cleaners?

Answers

Answer:

1000 hours

Step-by-step explanation:

∫xf(x)dx = ∫x*xdx (1,0) + ∫x*(8-x)dx (2,1)

∫xf(x)dx = ∫x²dx (1,0) + ∫8x - x²dx (2,1)

∫xf(x)dx = ∫x²dx (1,0) + ∫8xdx (2,1) - ∫x²dx (2,1)

∫xf(x)dx = x³/3(1,0) + 8x²/2 (2,1) - x³/3(2,1)

∫xf(x)dx = 1/3 + 8(4/2 - 1/2) - (8/3 - 1/3)

∫xf(x)dx = 1/3 + 8(2-0.5) - (7/3)

∫xf(x)dx = 1/3 + 8(1.5) - 7/3

∫xf(x)dx = 1/3 + 12 - 7/3

∫xf(x)dx = - 6/3 + 12

∫xf(x)dx = - 2 + 12

∫xf(x)dx = 10

The average number of hours the family runs their vacuum cleaner in units of 100 hours

100 * 10 hours = 1000 hours

What is the value calculator?

Answers

A value calculator is a tool used to help assess the worth of an asset or investment.

The value calculator is designed to help individuals and businesses determine whether an asset or investment is a good value. The calculator takes into account various types of data, such as the current market value, expected future value, and any associated risk factors.

This data is then used to calculate the present value, which is the amount of money an asset or investment is worth today. The calculator also takes into account inflation and other factors that could affect the current value of the asset or investment.

The value calculator can be used to help individuals and businesses make informed decisions about their financial investments.

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For what value of n is n-2] + 2 equal to 0?

Answers

Answer:

n=0

Step-by-step explanation:

0 - 2 = -2

-2 + 2 = 0

On a negatively skewed curve, which is true?

Answers

The statistical model is not good, and this is true for a negatively skewed curve.

What means negatively skewed curve?

It is a statistical term implies that a curve is skewed at the left side.

In a statistical data for a certain distribution, we can get a negatively skewed curve when most of the data values are located on the right side of the distribution graph. The high concentration of values on the right side of distribution curve forms a long tail in the negative direction.

Which is true for negatively skewed curve?

In general, negatively skewed curve is not good because it expresses the tendency of left tail events. Negatively skewed curves indicate a poor return from an investment. That means a person might be earn lower or no profit from his business. In case of an exam scores, negative skewed data value implies the question was too easy to perform better than usual.

In a word, left skewed or negatively skewed curve or data values inform us to be aware about the current statistical model and inspire us to take proper steps for wellbeing.

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The integral 1 π(y2−y4) dy 0 represents the volume of a solid. Describe the solid.
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y2 and x = y4 around the x axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y2 and x = y4 around the y axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the x axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the y axis

Answers

The correct option is (d). The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the y axis

The difference between the areas beneath the two curves that form a boundary is the area between the curves. You will then have the area between the two curves, or the difference, between them.

In the cartesian coordinate system, a plane is divided into four areas by the X-axis, a horizontal line, and the Y-axis, a vertical line. The term "quadrant" refers to these four areas.Use washer method:

The washer method enables us to use cylindrical discs with holes to compute the volume of solids in a rotation.

As we have mentioned, the washer method is an extension of the disk method. This technique is established so that we can also calculate for the volume of the solid returned by rotating the region bounded by two curves over the x and y axis.

[tex]$$\begin{aligned}& V=\int_a^b \pi\left(x_1^2-x_2^2\right) d y \\& =\int_0^1 \pi\left(y^2-\left(y^2\right)^2\right) d y \\& =\int_0^1 \pi\left(y^2-y^4\right) d y\end{aligned}$$[/tex]

Therefore, the solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y² around the y axis.

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The absolute value function graphed below can also be represented by a piecewise function.

Determine which function is represented by the graph.

please help!!!

Answers

Answer:

Step-by-step explanation:

Trust me

Find the missing side lengths. Leave your answers as radicals is simplest form.

Answers

a = 13 and b = 13 root 2 over 2

Terry is making 5 hat and scarf sets. Each scarf requires 3 yards of material and each hat requires 18 inches of material. How many feet of material does he need for all 5 hat and scarf sets?

Answers

5*18 = 90
5*3= 15

90+15= 105

Rewrite the radical by extracting all possible roots and write your answer in radical form 75x4y7−−−−−−√

Answers

Answer:

[tex]\sqrt{75x^4y^7} = 5x^2y^3\sqrt{3y}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{75x^4y^7[/tex]

Required

Rewrite

Express 75 as 25 * 3

[tex]\sqrt{75x^4y^7} = \sqrt{25 * 3x^4y^7}[/tex]

Split

[tex]\sqrt{75x^4y^7} = \sqrt{25} * \sqrt{3x^4y^7}[/tex]

This gives:

[tex]\sqrt{75x^4y^7} = 5 * \sqrt{3x^4y^7}[/tex]

Express y^7 as y^6 * y

[tex]\sqrt{75x^4y^7} = 5 * \sqrt{3*x^4 * y^6 * y}[/tex]

Split

[tex]\sqrt{75x^4y^7} = 5 * \sqrt{3} *\sqrt{x^4} * \sqrt{y^6} * \sqrt{y}[/tex]

Express square roots as exponents

[tex]\sqrt{75x^4y^7} = 5 * \sqrt{3} * x^{(4 * \frac{1}{2})} * y^{(6* \frac{1}{2})} * \sqrt{y}[/tex]

[tex]\sqrt{75x^4y^7} = 5 * \sqrt{3} * x^2 * y^3 * \sqrt{y}[/tex]

Rewrite the factors

[tex]\sqrt{75x^4y^7} = 5 * x^2 * y^3* \sqrt{3} * \sqrt{y}[/tex]

[tex]\sqrt{75x^4y^7} = 5x^2y^3* \sqrt{3} * \sqrt{y}[/tex]

Combine roots

[tex]\sqrt{75x^4y^7} = 5x^2y^3* \sqrt{3y}[/tex]

[tex]\sqrt{75x^4y^7} = 5x^2y^3\sqrt{3y}[/tex]

How many minutes after Caylan puts the tray in the oven will he first remove the scones, muffins, and cookies at the same time

Answers

Answer:

60 minutes

Step-by-step explanation:

Here is the complete question

Caylan is making baked goods for a charity bake sale. He places a tray of scones, a tray of muffins, and a tray of cookies in the oven. The scones bake for 15 minutes, the muffins bake for 12 minutes, and the cookies bake for 10 minutes. When one tray is done, he removes it and replaces it with another tray of the same item. How many minutes after Caylan puts the trays in the oven will he first remove the scones, muffins, and cookies at the same time? ? minutes​

The multiples for scones = 15 = 3,5

The multiples for muffins = 12 =2, 2,2,3

The multiples for cookies = 2, 5

Lowest common multiple = 2 x 2 x 3 x 5 = 60 minutes

to determine the time , calculate the lowest common multiple of 12, 15 and 10

Answer:

60 - This is due to the times of each and what time you would take them out.

Can someone help me with section b please and thank you ​

Answers

y=3x
It costs $3 per movie (x)

4r= -36
-72
-40
-9
9

Answers

Answer:

4r=-36

-36/4=r

-9=r

Therefore

r=-9

Answer: r=−9

Step-by-step explanation: Hope this help :D

Let's solve your equation step-by-step.

4r=−36

Step 1: Divide both sides by 4.

4r/4=−36/4r

=−9

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