I need the value of x please?????????????

Answers

Answer 1

Based on the triangle sum theorem, the value of x is: 45.

What is the Triangle Sum Theorem?

The Triangle Sum Theorem states that in any triangle, the sum of the measures of the interior angles is always equal to 180 degrees. This is true for all triangles, regardless of their size or shape.

The theorem can be proven using Euclidean geometry, which states that the sum of the angles in a triangle is always 180 degrees. This theorem is also known as the "angle sum property" of a triangle.

Therefore:

2x + 10 + 30 + 50 = 180 (based on the triangle sum theorem).

Combine like terms:

2x + 90 = 180

2x = 180 - 90

2x = 90

2x/2 = 90/2

x = 45.

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Related Questions

Astronomers often measure large distances using astronomical units (AU) where 1 AU is the average distance from Earth to the Sun. In the image, d
represents the distance from a start to the Sun. Using a technique called "stellar parallax," astronomers determined θ
is 0.00001389 degrees.

b) Write an equation to calculate d
for any star.

(Your response must include an equal sign, and the variables d
and θ.)

Answers

The trigonometric function can be used to calculate the distance (4124966.128 AU) between the star and also the sun.

d = 4124966.128

Define the term "stellar parallax"?Astronomers can determine the apparent shift in location of a star by measuring its position once, then again six months later. Stellar parallax refers to the apparent motion of the star.

Given:

Astronomers frequently use astronomical units (AU), where 1 AU represents the typical distance between the Earth and the Sun.The graphic depicts the separation between the Sun and a star.Astronomers discovered that using a method known as "stellar parallax," is 0.00001389 degrees.The steps listed below can be used to calculate the astronomical unit distance between star and the Sun:

Step 1: To calculate the distance in astronomical units here between star and the Sun, apply the trigonometric function.

The sine function is used to calculate the distance in step two.

sin Ф = P/ H

where H is the hypotenuse and P is the perpendicular.

Step 3: Replace the above expression with the known terms.

sin (0.00001389 ) = 1/d

Step 4: Condense the previous expression.

d = 4124966.128

Thus, the distance of star from the sun is found as d = 4124966.128.

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Sixty three is the product of nine and a number

Answers

Sixty three is the product of nine and a number which is seven

What is multiplication?

Multiplying in math is the same as adding equal groups.

The number of items in the group grows as we multiply. Parts of a multiplication problem include the product, the two components, and the answer.

In the multiplication problem involving 63 as the product of 9 and another number

let the number be x

9 * x = 63

9x = 63

isolating x by dividing both sides by 9

9x / 9 = 63 / 9

x = 7

the number is 7

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The polygons are similar, but not necessarily drawn to scale. Find the value of x.

Answers

The value of x is 5.5

What is a polygon?

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

Given;

The two polygons are similar

So,

x-1/6=16/21

x/6-1/6=16/21

x/6=16/21+1/6

x=5.5

y+1/32=21/24

y/32+1/32=7/8

y=3

Therefore, the value of x in polygon will be 5.5

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Point A(-3, 5) is first reflected over the line y =x, then reflected over the line with equation y = -4. What are the coordinates of the image of A after the two reflections?

Answers

The two coordinate values are simply swapped in the reflection over the line y=x: A'' = (4, 1) (4, 1)

What are the positions of A's reflections after the two?

The x-coordinate and y-coordinate of a point change positions when it is reflected across the line y = x.

The x- and y-coordinates shift positions and are negated when a point is mirrored across the line y = -x.

In light of this, the reflection of the point (x, y) across the line y = x is (y, x).

The first reflection's location across the vertical line x=-3 ensures that the y-coordinate is constant.

The point (-3, 4) on the line of reflection will become the halfway point between A and A' thanks to the x-coordinate of A':

(-3, 4) = (A +A')/2

2(-3, 4) (-3, 4)

-A = A' = (-6-(-7), 8 -4) = (1, 4) (1, 4)

The two coordinate values are simply swapped in the reflection over the line y=x: A'' = (4, 1) (4, 1)

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15. Use the given degree of confidence and sample data to find a confidence interval for the

population standard deviation c. Assume that the population has a normal distribution.

Round the confidence interval limits to the same number of decimal places as the sample

standard deviation.

College students' annual earnings: 98% confidence; n = 9, x = $3959, s = $886

Answers

Confidence interval will be between $831.57 and $1040.67.

To find a confidence interval for the population standard deviation, we can use the formula:

(sample standard deviation / square root of sample size) x t-multiplier

where t-multiplier is based on the degree of confidence and the sample size.

For a 98% confidence interval and a sample size of 9, the t-multiplier is 2.821 (from a t-table or a calculator with a t-distribution function).

So the confidence interval for the population standard deviation is:

(886 / sqrt(9)) x 2.821 = (886 / 3) x 2.821 = 295.33 x 2.821

= 831.57 to 1040.67

Therefore, we can be 98% confident that the population standard deviation of the annual earnings of college students falls between $831.57 and $1040.67.

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Solve for x. Express your answer in simplest radical form if necessary.
81 = x²

Answers

Answer:

Step-by-step explanation:√81 = √x²

9 = square root cancel square = x

Help me please thhhannkkk youuu

Answers

Answer:

25 . 3 %

Step-by-step explanation:

it has the circuits of the brain

how to solve this equation?

Answers

Answer: 1

Step-by-step explanation:

Explanation and steps in photo

A 6 ft. tall man flies a kite and lets out 100 feet of string. The angle of elevation of the string is 52° . How high off the ground is the kite?

Answers

The kite is 84.8 feet off the ground.

What is an angle of elevation?

The angle produced whenever an object if viewed above the horizontal plane is termed the angle of elevation.

To determine how high off the ground is the kite, we have;

let the altitude of the kite from the man's head be represented by s,

Sin θ = opposite/ hypotenuse

Sin 52 = s/ 100

s = Sin 52*100

= 0.7880*100

s = 78.8 feet

The height of the kite off the ground = 78.8 + 6

= 84.8

The height of the kite off the ground is 84.8 feet.

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What is the value of f(150)?

Answers

Answer:

Step-by-step explanation:So make sure you learn this in fifth grade so basically whatever your line go to let's say if it lands on 79 I mean 70 and that's like I mean 150 it depends on what you're using

2x^2-5x-2=0 quadratic formula

Answers

Step-by-step explanation:

First add you two numbers in parethese and then subtract thhat and dit =0

A chemistry class has learned how to read a sensitive high-caliber balance scale (this is not a digital scale). Since most students are very good at reading the scale, the instructor decides it’s time to test their skills. The instructor asks each student to weigh the same 1. 6 ounce bag of Peanut M&Ms, and then records each student’s reading of the balance scale. Which histogram shows the distribution of the students’ balance-scale readings?

Answers

Histogram II shows the distribution of the students’ balance-scale readings, so the correct answer is option (b).

It is stated that most students are very good at reading the scale. Thus, most of the students will read the scale accurately around the actual weight (i.e., around 1.6 ounces), and very few will read far below or far above the accurate weight of 1.6 ounces.

As a large portion of the understudy score tremendous and ought to have rough equivalent aptitude; in this manner, the histogram ought to be around symmetrical.

Therefore, histogram II (symmetrical distribution) shows the perfect distribution of the students' balance-scale readings.

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The complete question is:

(a) Histogram I

(b) Histogram II

(d) Histogram IV

Light travels at a speed of 3 x 10 8 metres per second

Answers

According to the universe in which light only moves at 3x10^8 meters/sec, it would take 3.333 x 10^-6 seconds to go 1 meter.

How does scientific notations work?

The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

According to the universe in which light only moves at 3x10^8 meters/sec, it would take 3.333 x 10^-6 seconds to go 1 meter.

Given that light travels 3x10^8 m/s. So there . . .

The speed of light is in units of meters/sec.

If it is 3x10^8 meters/sec, we can also write the inverse:

1 sec/3x10^8 meters

Do the division to find seconds per 1 meter:

3.333 x 10^-9 seconds.

For Milky Way inhabitants,

It only requires 3.33 x 10^-9 second.

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The complete question is;

Light travels about 3 x 10^8 metres per second. Find the time it takes to travel 1 metre.

HELP ME PLEASE THIS IS HALF MY GRADE

Answers

Answer: 2/7

Step-by-step explanation:

Go from point A to D by moving up 2 units and right 7 units. Since it slopes up it's a positive number.

of the 900 students at columbia middle school, there are 324 7th graders. If one student is chosen at random to lead the pledge at a school assembly, what is the probability the person chosen will be a 7th grader? Use prime factorization to reduce the answer.

Answers

Answer:

Step-by-step explanation:

im am sorry but i dont understand so i cant answer this question see you later!

a number increased by 7 given 20

Answers

Answer:

Step-by-step explanation:

what is the greatest two-digit prime number with the property that the product of its digits is also a prime number?

Answers

The greatest two-digit prime number with the property that the product of its digits is also a prime number is 37, since 3 x 7 = 21.

The greatest two-digit prime number with the property that the product of its digits is also a prime number is 37, since 3 x 7 = 21. Prime numbers are those numbers greater than 1 that are divisible only by 1 and itself. Two-digit prime numbers are those number between 10 and 99. The prime numbers between 10 and 99 are 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. The product of the digits of 37 is 3 x 7 = 21, which is also a prime number. Therefore, the greatest two-digit prime number with the property that the product of its digits is also a prime number is 37.

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to classify fossils of an insect, archeologists measure the length of the body. the body length of a type a insect is distributed as and the body length of a type b insect is distributed as (in millimeters). the fossil is classified as type a if the length is less than millimeters and classified as type b if the length is larger than or equal to millimeters. find the value of that the probability of correctly classifying a type a insect equals the probability of correctly classifying a type b insect (round off to first decimal place).

Answers

The value that the probability of correctly classifying a type an insect equals the probability of correctly classifying a type b insect is 4.5 millimeters.

To find the value that the probability of correctly classifying a type A insect equals the probability of correctly classifying a type B insect, we need to find the point where the probability density functions of the two types of insects intersect.

For type A insects, the probability density function is given as -

f(x) = [tex](1/2)e^{-{x-3}^{2/2}}[/tex]

For type B insects, the probability density function is given as-

f(x) = [tex](1/4)e^{-{x-5}^{2/2}}[/tex]

We can set these two probability density functions equal to each other and solve for x as follows -

[tex](1/2)e^{-{x-3}^{2/2}}[/tex] = [tex](1/4)e^{-{x-5}^{2/2}}[/tex]

Solving for x, we get:

x = 4.5

So the value that the probability of correctly classifying a type A insect equals the probability of correctly classifying a type B insect and is 4.5 millimeters. This means that if the length of the insect is 4.5 millimeters or less, it will be classified as type A, and if it is greater than 4.5 millimeters, it will be classified as type B.

Answers

The measure of the angle m∠HEF = 64°, for the diagonals of rectangular room.

Define the term linear pair?A linear pair is just a pair of neighboring angles created by the intersection of two lines. 1 and 2 create a linear pair in the illustration. The same holds true for pairs 1, 2, 3, and 4. A linear pair's two angles are always supplementary, that means that the sum of their measurements is 180 degrees.

The given data:

DH=44.5 feet, EF=39 feet, and m∠GHF=128°

As, GE is the straight line.

Thus,

m∠EHF = 180 - 128 (sum of all angles of line is 180, linear pair)

= 52°

Now,

m∠HEF = 180 - 52 / 2 (isosceles triangle)

m∠HEF = 64°

Thus, the measure of the angle m∠HEF = 64°, for the diagonals of rectangular room.

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The diagram for the question is attached.

enter the value of n for the eqation 5 n = 5 11 times 5 3

Answers

For the equation 5^n = 5^11 × 5³ the value of n using the exponents rule is obtained as n = 14.

What is an exponent?

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

The given equation is 5^n = 5^11 × 5³

Since, the base of the exponents is same, so apply the operations on the powers of the base.

The value of n can be found by following the exponent rule.

The exponent rule is - a^(b) × a^(c) = a^(b + c)

Write the equation according to the rule -

5^n = 5^(11 + 3)

Use the arithmetic operation of addition -

5^n = 5^(14)

n = 14

Therefore, the value of n is obtained as 14.

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Shane invested $3,500 in a savings account that pays 4% interest

semiannually (every 6 months). How much money will he have in his

account in 5 years?

Answers

The money in Shane's account after five years will be $4900.

The formula for simple interest is -

S.I. = PRT/100, where P is principal, R is rate of interest, T is time and SI is simple interest. Interest is calculated semi-annually then t will be 5×2 years.

Keep the values in formula -

S.I. = 3500 × 4 × 5 × 2/100

Performing multiplication in numerator on Right Hand Side of the equation

S.I. = 1,40,000/100

Cancelling common zero on Right Hand Side of the equation

S.I. = $1400

Total amount = Principal + Interest

Keep the values in formula -

Total amount = 3500 + 1400

Performing addition

Total amount = $4900

The total money in account will be $4900.

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Arabella wants to buy 42 dresses.
Each dress costs £8.70.
Estimate the cost of Arabella's 42 dresses

Answers

Answer:

378 Euros

Step-by-step explanation:

A good way to estimate is to round to the nearest whole number or 10th and then multiply:

8.70 --> 9.00 (since 7 > 5 you round up to the nearest whole number, in this case 9)

then you multiply. A good way to do this in your head is doing:

split 42 into 2 numbers:
40, 2

then multiply by nine:

9 * 4 = 36 (9 * 40 = 360) added a zero since we multiplied by 40, its just easier to multiply by smaller numbers

9 * 2 = 18

then add the two numbers together:

360 + 18 = 378 Euros

The actual answer with a calculator is 365.4 Euros, so for an estimation its fairly close.

Another way you could solve it is to just round 8.70 --> 10 (rounding to the nearest 10th)

then:

10 * 42 = 420 (nice)

I don't recommend it since its way too off from the original value, but could be good for quick estimations.

hope this helped you :)

Systems of Equations and Inequalities 2020-2021 / 5 of 18

Two students were shopping for school supplies. They need spirals which cost x dollars and pens which cost y dollars. One student bought

2 spirals and 3 pens for $8. 66. Another student bought 4 spirals and 5 pens for $15. 20. Find the unit cost of a spiral.

1

Answers

Each notebook is $5 and each thumb drive is $12.

To Locate:

The price per notebook and per flash drive

Explain x and y:

Let's say a notebook costs x dollars.

I'll pay whatever a thumb drive costs.

Form equations:

4x + y = 32 ------------------------ [ 1 ]

3x + 2y = 39 ---------------------- [ 2 ]

Equation [ 1 ] x 2:

8x + 2y = 64 ---------------------- [ 3 ]

[ 3 ] - [ 2 ] :

5x = 25

x = 5

Substitute x = 5 into [ 1 ]:

4(5) + y = 32

20 + y = 32

y = 32 - 20

y = 12

Find the cost of each notebook and each thumb drive:

notebook = x

notebook = $5

thumb-drive = y

thumb-drive = $12

Each notebook is $5 and each thumb drive is $12.

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the value of
3(2x+3) when x=5

Answers

Answer:

Step-by-step explanation:

3(2x + 3) = 6x + 9 = 6(5) + 9 = 39

[tex]3(2x+3)[/tex] when x is 5

Substitute for x with the given value:

[tex]3(2(5)+3)[/tex]

[tex]3(10+3)[/tex]

[tex]3(13)[/tex]

[tex]=\fbox{39}[/tex]

suppose that the student scores on a test follow a bell-shaped distribution with mean 50 and standard deviation 10. using the empirical rule, what percent of students scored scored above 60?

Answers

Approximately 99.7% falls within three standard deviations.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.

Since the mean score is 50 and the standard deviation is 10, this means that approximately 68% of the students scored between 40 and 60, approximately 95% scored between 30 and 70, and approximately 99.7% scored between 20 and 80. Therefore, approximately 32% of students scored above 60.

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remember that we don't consider degenerate triangles unless specially instructed otherwise. two side lengths of a triangle are and . what is the longest possible integer length of the third side of the triangle?

Answers

The minimum value of the third side is 9 cm, and The maximum value of the third side is 6.7 cm.

The minimum value of the third side is when the triangle is a degenerate triangle, meaning that the third side is a line segment joining the two endpoints of the first two sides, which is equal to 3 cm + 6 cm = 9 cm.

The maximum value of the third side is when the triangle is a right triangle, and the two sides are the legs. According to the Pythagorean theorem, the third side (the hypotenuse) should be equal to the square root of 3² + 6² = 9 + 36 = 45, which is equal to 6.7 cm.

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--The given question is incorrect; the correct question is

"The length of two sides of a triangle are 3cm and 6cm. What could be the minimum and maximum value of its third side?"--

I need help with this question please and thank you

Answers

The type of transformation and scale factor as required are;

16) Rotation

17) Reflection

18) Dilation

19) n = 5

20)P = r = 4

What is the type of transformation?

There are different types of transformation as follows;

1) Translation: This type of translation is defined as moving the object in space by keeping its size, shape or orientation constant. In a translation, each point of the shape must be moved in the same direction and for the same distance

2) Dilation: This type of translation expands or contracts the object by keeping its orientation or shape the same. This is also known as resizing.

3) Rotation: This type of transformation has an object about a fixed point without changing its size or shape.

4) Reflection: This type of translation is called reflection because it flips the object across a line by keeping its shape or size constant.

16) This transformation is rotation based on the definitions above.

17) This type of transformation is a reflection as it is like the image was flipped across a line more like a mirror image.

18) This called dilation as the scale factor was adjusted to produce the new image.

19) Scale Factor = 6/3 = 2

Thus;

n = 10/2 = 5

20) Scale factor = 12/9 = 4/3

Thus;

P = r = 3 * 4/3

= 4

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please help me find angle m< 4 (geometry)

Answers

Assuming the horizontal lines are parallel, we will see that the measure of angle 4 is m∠4 = 39°

How to find the measure of angle 4?

First, we assume that the two horizontal lines are parallel, that will mean that the measures of angle 4 and 7 are equal, beacause both of them are on the same quadrant.

Also, notice that angle 7 and 141° should add up to 180° (a plane angle) thus, we will get:

m∠7 + 141° = 180°

m∠7 = 180° - 141°

m∠7 = 39°

The measure of angle 4 is also that, so we conclude that:

m∠4 = 39°

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a numerical measure of linear association between two variables is the . a. standard deviation b. covariance c. coefficient of variation d. variance

Answers

option b is correct - covariance

The correlation coefficient (r ) is a numerical measure that measures the strength and direction of a linear relationship between two quantitative variables.

Covariance

A numerical measure of linear association between two variables.

Covariance is a measure of how changes in one variable are associated with changes in a second variable. Specifically, covariance measures the degree to which two variables are linearly associated. However, it is also often used informally as a general measure of how monotonically related two variables are. It is similar to variance, but where variance tells you how a single variable varies, covariance tells you how two variables vary together.

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A company produces a range of 5 computers models which bring in high volume

Assuming that the factory works equally to produce models for 9 hours days 7 days per week, which monitor bring in the highest revenue

Answers

The model with the highest revenue is model D

How to determine the model with the highest revenue

From the question, we have the following parameters that can be used in our computation:

Model A Model B Model C Model D Model E

Time to manufacture (mins) (t) 15 18 13 20 17

% Of monitors sold (s) 75% 73% 84% 95% 81%

Cost per monitor (c) $175 $188 $145 $198 $170

The factor works 9 hours for 7 days

So, the total duration per unit time is

D = 9 hours * 7/t

D = 63/t

Convert t to hours

D = 63 * 60/t

D = 3780/t

The total revenue is then calculated as

R = c * D * s

So, we have

Model A = 175 * 3780/15 * 75% = 33075

Model B = 188 * 3780/18 * 73% = 28820

Model C = 145 * 3780/13 * 84% = 35444

Model D = 198 * 3780/20 * 95% = 35551

Model E = 170 * 3780/17 * 81% = 30569

The highest value above is 35551

Hence, the model is model D