What are the angles of a triange if the sides are 11, 10, 17

Answers

Answer 1

In the following question, among the conditions given, This triangle must be a non-Euclidean triangle, which is not possible to draw on a flat plane without distorting its shape. Therefore, there are no valid angles for this triangle.

To find the angles of a triangle when given the lengths of its sides, we can use the Law of Cosines, which states that:

c^2 = a^2 + b^2 - 2ab*cos(C)

where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.

Using this formula, we can find the cosine of each angle and then use the inverse cosine function (cos^-1) to find the measure of each angle.

Let's use this formula to find the angles of the triangle with sides of 11, 10, and 17:

c^2 = a^2 + b^2 - 2ab*cos(C)

For the side opposite angle C = 17:

17^2 = 10^2 + 11^2 - 2(10)(11)cos(C)

289 = 121 + 100 - 220cos(C)

cos(C) = (121 + 100 - 289)/(21011)

cos(C) = -0.4

We get a negative value for the cosine of angle C. This means that the triangle cannot be a standard triangle in the Euclidean plane, as the Law of Cosines requires that the cosine of an angle be between -1 and 1. This triangle must be a non-Euclidean triangle, which is not possible to draw on a flat plane without distorting its shape.

Therefore, there are no valid angles for this triangle.

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Related Questions

Majka company was started on january 1, year 1. During year 1, the company experienced the following accounting events: (1) issued 50,000 worth of common stock (2) earned cash revenues of $33,700, (3) paid cash expenses of $14,900, and (4) paid a $3,200 cash dividend to its stockholders. These were the only events that affected the company during year 1

Answers

(1) In General Ledger, Cash Account is $ 13900 , In revenue account The balance is $ $28600, in expense account the balance is $ $13200 and Trial balance is $28600.

(2) The income statement is $ 15400.

(3) Statement of Changes in Stockholders' Equity is $13900.

(4) Balance sheet is $ 13900.

Record the effects of each accounting event under the appropriate general ledger account headings.

Using the accounting equation, we have:

Asset = Shareholder's equity + Liabilities

Cash = Retained earning + Common stock

Cash = $28,600 - $13,200 - $1,500 = $13,900 = Assets

Retained earning = $28,600 - $13,200 - $1,500 = $13,900

Common stock = 0

Retained earning + Common stock = $13,900 + 0 = Shareholder's equity

Liabilities = 0

Therefore, we have:

(1) Majka Company

Accounting Equation for Year 1

Asset ($) = Shareholder's equity + Liabilities

13,900    =      13,900                    +        0

(2) Prepare an income statement

Details                                 Amount ($)

Revenue                                28,600

Expenses                               (13,200)

Net Profit                                15,400

Dividend                                (1,500)  

Retained earning                   13,900  

(3) Statement of changes in stockholders’ equity

Details                                      Amount ($)                        

Common stock                                0

Beginning retained earning           0

Retained earning for the year     13,900  

Stockholders’ equity                   13,900

(4) Mijka Company, Balance sheet as at December 31, Year 1,

Details                                      Amount ($)    

Assets:

Cash                                            13,900

Liabilities:  

Current and Long terms                  0      

Net total assets                           13,900  

Stockholders’ equity:

Common stock                                0

Retained earning                         13,900  

Stockholders’ equity                   13,900

Complete Question:

Majka Company was started on January 1, Year 1. During Year 1, the company experienced the following three accounting events: (1) earned cash revenues of $28,600, (2) paid cash expenses of $13,200, and (3) paid a $1,500 cash dividend to its stockholders. These were the only events that affected the company during Year 1. Required Record the effects of each accounting event under the appropriate general ledger account headings. Prepare an income statement, statement of changes in stockholders’ equity, and a balance sheet dated December 31, Year 1, for Mijka Company.

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Henry is planning a party for his daughter, Rebecca. The party has a beach theme. Henry plans to fill a sandbox with fresh sand so the kids can build sandcastles. The sandbox is twelve feet long and two feet tall. The width of the sandbox is half of its length. What is the volume of sand needed to fill the sandbox?

Answers

Answer:144 ft³

Step-by-step explanation:

The width of the sandbox is half of its length, so we can start by finding the length:

Length = 12 feet

Width = 1/2 * Length = 1/2 * 12 feet = 6 feet

Height = 2 feet

The volume of sand needed to fill the sandbox is the product of its length, width, and height:

Volume = Length * Width * Height

Volume = 12 feet * 6 feet * 2 feet

Volume = 144 cubic feet

The sun orbits the Milky Way galaxy at about 135 miles per second. Write your answers to the following in scientific notation.

A. How far does the sun travel in an hour?

B. How far does the sun travel in a week?

Answers

Expressing this in scientific notation, we get: Distance traveled in a week = 3.77 x [tex]10^7[/tex] miles/week

What is speed?

Speed is a measure of how fast an object is moving, usually expressed in units of distance per unit time. It is defined as the distance traveled by an object divided by the time it takes to travel that distance.

According to question:

The speed of the sun orbiting the Milky Way galaxy is 135 miles per second.

A. To find how far the sun travels in an hour, we need to multiply its speed by the number of seconds in an hour:

Distance traveled in an hour = 135 miles/second x 60 seconds/minute x 60 minutes/hour

Distance traveled in an hour = 486,000 miles/hour

Expressing this in scientific notation, we get:

Distance traveled in an hour = 4.86 x [tex]10^5[/tex] miles/hour

B. To find how far the sun travels in a week, we need to multiply its speed by the number of seconds in a week:

Distance traveled in a week = 135 miles/second x 60 seconds/minute x 60 minutes/hour x 24 hours/day x 7 days/week

Distance traveled in a week = 37,656,000 miles/week

Expressing this in scientific notation, we get:

Distance traveled in a week = 3.77 x [tex]10^7[/tex] miles/week

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151.8% of £613.71
Give your answer rounded to 2 DP.

Answers

1.518 x 613.71 comes out to 931.61

Answer: £931.61

The length of human pregnancies is approximately normal with mean μ=266days and standard deviation σ=16days.
(a) What is the probability that a randomly selected pregnancy lasts less than 262 days?
(b) Suppose a random sample of 51 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.
(c) What is the probability that a random sample of 51 pregnancies has a mean gestation period of 262 days or less?
(d) What is the probability that a random sample of 106 pregnancies has a mean gestation period of 262 days or less?

Answers

The probability that a random sample of 106 pregnancies has a mean gestation period of 262 days or less is 0.00003.

What is probability?

Probability is a measure of the likelihood that an event will occur. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probabilities are usually expressed as fractions, decimals, or percentages.

(a) To find the probability that a randomly selected pregnancy lasts less than 262 days, we need to standardize the value using the formula z = (x - μ) / σ, where x is the value we're interested in, μ is the mean, and σ is the standard deviation.

z = (262 - 266) / 16 = -0.25

Using a standard normal distribution table or calculator, we find that the probability of getting a z-score of -0.25 or less is 0.4013. Therefore, the probability that a randomly selected pregnancy lasts less than 262 days is 0.4013.

(b) The sampling distribution of the sample mean length of pregnancies is approximately normal with mean μ = 266 and standard deviation σ = 16 / sqrt(51) = 2.2449. This is known as the central limit theorem.

Using a standard normal distribution table or calculator, we find that the probability of getting a z-score of -2.8304 or less is 0.0023. Therefore, the probability that a random sample of 51 pregnancies has a mean gestation period of 262 days or less is 0.0023.

(d) Using the same formula as in part (c), we have:

z = (262 - 266) / (16 / sqrt(106)) = -4.0077

Using a standard normal distribution table or calculator, we find that the probability of getting a z-score of -4.0077 or less is 0.00003.

Therefore, the probability that a random sample of 106 pregnancies has a mean gestation period of 262 days or less is 0.00003.

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How many days can the baby drink the juice if no one else drinks more

Answers

The baby will drink 45 liters of milk in 30 days when baby drink 3 liters of milk in 2 days.

To solve this problem, we can set up a proportion using the fact that the amount of milk the baby drinks is directly proportional to the number of days:

milk consumed / number of days = constant

Let's call the constant of proportionality k. Then we can write:

3 liters / 2 days = k

To find the value of k, we can solve for it:

k = 3 liters / 2 days = 1.5 liters/day

Now we can use this value of k to find how much milk the baby will drink in 30 days:

milk consumed / 30 days = 1.5 liters/day

Multiplying both sides by 30, we get:

milk consumed = 1.5 liters/day x 30 days = 45 liters

Therefore, the baby will drink 45 liters of milk in 30 days.

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The complete question is :

A baby drink 3 liters of milk in 2 days . How much milk will baby drink in 30 days.

Pls help me I only have 1 day lefhelp pls!​ ITS Prediction from line of best Fit

Answers

Answer: 64

The function of the graph 2(l+w)=64
As a result, 5, 10, and 15 make the reasonable domain of the function

Hope im correct

Answer:79

Step-by-step explanation:

y=12+91=79

HELP!



A rectangular fish tank has a width w inches, length w+ 8 inches, and height 18 - w inches. All dimensions are greater than 6 inches. The volume of the tank is 1440 cubic inches. How many inches is the height of the fish tank?

Answers

As per the volume, the height of the fish tank is 0.4 inches.

First, we are given that the width of the tank is w inches, the length is w+8 inches, and the height is 18-w inches. We also know that all dimensions are greater than 6 inches. Using the formula for the volume of a rectangular prism, we can write:

V = lwh

Substituting the given values, we get:

1440 = (w+8)(w)(18-w)

Now, we can simplify this equation by expanding the product on the right-hand side:

1440 = 18w² + 8w(18-w)

Simplifying further, we get:

1440 = 18w² + 144w - 8w²

Combining like terms, we get:

10w² + 144w - 1440 = 0

Dividing both sides by 10, we get:

w² + 14.4w - 144 = 0

Now we can solve for w using the quadratic formula:

w = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = 14.4, and c = -144. Plugging in these values, we get:

w = (-14.4 ± √(14.4² - 4(1)(-144))) / 2(1)

Simplifying, we get:

w = (-14.4 ± √(432.16)) / 2

w = (-14.4 ± 20.8) / 2

w = -17.6 or w = 3.6

Since we know that all dimensions are greater than 6 inches, we can eliminate the negative solution and conclude that w = 3.6 inches is not valid. Therefore, the width of the tank is w = 17.6 inches.

Now we can use this value to find the height of the tank. Substituting w = 17.6 into the expression for the height, we get:

h = 18 - w

h = 18 - 17.6

h = 0.4

Therefore, the height of the tank is h = 0.4 inches, or equivalently, 4/10 of an inch.

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PLEASE HELPP I NEED THISS
Kiana rides her skateboard with a constant speed of 6 km/h. How long will she take to travel a distance of 10 kilometers?

Answers

Answer:

100 minutes

Step-by-step explanation:

we take 6/km an hour and make it 1 km per 10 minutes and then multiply it by 100

A coffee pot holds 2 quarts of coffee. How much is this in cups?

Answers

A coffee pot that holds 2 quarts is equal to 8 cups. To determine the number of cups in a coffee pot that holds 2 quarts, multiply 2 quarts by 4 cups.

A quart is a unit of measurement that is equal to 4 cups of liquid. This means that a coffee pot that holds 2 quarts is equal to 8 cups. To figure out how many cups are in a quart, use the following equation: 1 quart = 4 cups. To determine the number of cups in a coffee pot that holds 2 quarts, multiply 2 quarts by 4 cups. The result is 8 cups. In other words, a coffee pot that holds 2 quarts is equal to 8 cups of liquid.

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help pleaseeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

yea

Step-by-step explanation:

u need more details

how do i solve 7/9 +8 1/4 fraction​

Answers

Answer:

9 1/36

Step-by-step explanation:

set 7/9 and 1/4 to a common denominator

so lets do 36,

7 x 4 = 28

9 x 4 = 36

1 x 9 =9

4 x 9 =36

28/36 + 9/36 = 1 1/36

1+8 = 9

The answer is 9 1/36. I will attach an image explaining why. Hope this helps.

identify the area of the figure

Answers

Answer: 184 cm^2

Step-by-step explanation:

1st: separate the figure into smaller shapes

-> one large rectangle (20 cm x 7 cm) =140 cm

-> one triangle ( (15-7)= 1/2 (8 cm x 3 cm ) = (20-13-4) = 12 cm

-> one rectangle (4 cm x 8 cm ) = 32 cm

140 + 32 + 12 = 184 cm

Answer: 184 cm2

Step-by-step explanation: Break the shape into common shapes. If you continue the line of 13 cm you now have a rectangle and trapezoid.

The rectangle area is 140

20 x 7 = 140

The trapezoid area is 44

The 15 cm line is cut into 7 and 8

the height of the shape is now 8

Base A ( the top ) is 4 cm

Base B (the bottom) is 7

A = a+b over 2h = 4+7 over 2·8 = 44

now add the numbers

The length of Anna's square pencil case is 6 in and the width is 4 1/2 in what is the area of the pencil case?

Answers

If the length of Anna's square pencil case is 6 in and the width is 4 1/2 in, then the area of the pencil case is 27 square inches

The area of a rectangle can be calculated by multiplying its length by its width.

In this case, Anna's pencil case is a square, which means that its length and width are equal. The length of the pencil case is given as 6 inches, so its width is also 6 inches.

Therefore, the area of the pencil case is:

Area = length x width

Substitute the values in the equation

Area = 6 in x 4.5 in

Area = 27 square inches

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rewrite the following into the stnadard from of a quadratic equation
[tex]2x^{2} -1[/tex]

Answers

Answer:

[tex]2x^{2} +0x+-1=0[/tex]

Step-by-step explanation:

The standard form of a quadratic equation is:

[tex]ax^{2} +bx+c=0[/tex]

The expression provided ([tex]2x^{2} -1[/tex]), can be rewritten in standard form by setting it to equal zero:

[tex]2x^{2} -1 = 0[/tex]

In this case, a would be equal to 2, b equal to 0, and c equal to -1.

Find the volume generated by rotating the region in the first quadrant bounded by y =e" and the X-axis from = 0 to x = ln(3) about the y-axis. Express your answer in exact form. Volume =

Answers

The volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis is (πln(3)3)/3.

To find the volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis, we can use the disk method. The disk method involves slicing the region into thin disks and adding up their volumes.

The volume of each disk is πr2h, where r is the radius of the disk and h is the thickness of the disk. In this case, the radius of each disk is x and the thickness is dx.

So, the volume of the region is:

V = ∫0ln(3)πx2dx

We can use the power rule for integration to solve this integral:

V = π∫0ln(3)x2dx = π[(x3)/3]0ln(3) = π[(ln(3)3)/3 - (03)/3] = (πln(3)3)/3

Therefore, the volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis is (πln(3)3)/3. This is the exact form of the volume.

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Sam invests $500 for two years at an interest rate of 12%, compounded twice a year. How much will his total investment be worth after 2 years?

Answers

Answer:

The formula for compound interest is:

A = P(1 + r/n)^(nt)

Where:

A = the final amount

P = the principal (initial amount)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the time the money is invested (in years)

In this case, P = $500, r = 0.12, n = 2 (compounded twice a year), and t = 2.

So, A = 500(1 + 0.12/2)^(2*2) = $673.01

Therefore, Sam's total investment will be worth $673.01 after 2 years.

Step-by-step explanation:

Who no the answer to this

Answers

Answer: 5/6

Step-by-step explanation:

First, you find the common denominator of the two:

3/6 + 2/6

Now you can easily add the two:

5/6

Answer:

See below.

Step-by-step explanation:

We are asked to Add Fractions.

What are Fractions?

Fractions are parts of a single whole number.

To make adding these fractions similar, we should have a common denominator.

[tex]\frac{Numerator}{Denominator}[/tex]

When we add common denominators, they remain the same. This makes adding fractions much easier.

Let's identify the common denominator by finding the Least Common Multiple. (LCM)

What is the LCM?

The LCM is the smallest common multiple that 2 numbers have. A multiple is the product of that number.

An Example of Multiples:

[tex]4; 4 \times 1, 4 \times 2, 4 \times 3, 4 \times 4, 4 \times 5, 4 \times 6.\\4; 4, 8, 12, 16, 20, 24.[/tex]

An Example of the LCM:

[tex]4; 4, 8, 12, 16, 20, [24], 28\\6; 6, 12, 18, [24], 30, 36, 42. \\The \ LCM \ is \ 24.[/tex]

Let's use the example above as a guide, but for our values in the denominator.

[tex]2; 2, 4, [6], 8, 10, 12, 14.\\3; 3, [6], 9, 12, 15, 18, 21.\\The \ LCM \ is \ 6.[/tex]

Our Denominators will be 6.

Multiply both the Numerator and the Denominator by the number needed to make the denominator 6.

[tex]\frac{1 \times 3}{2 \times 3}=\frac{3}{6} \\\frac{1 \times 2}{3 \times 2} = \frac{2}{6}[/tex]

Add:

[tex]\frac{3}{6} + \frac{2}{6} = \frac{5}{6} \\[/tex]

Our final answer is [tex]\frac{5}{6} .[/tex]

Can someone pls answer this
How do these numbers compare?

Drag the correct comparison symbol to the box.

10.09 10.9
< = >

Answers

Addressing issue at hand, we can state that the correct linear equation comparison symbol to the box. 10.09 10.9 f < = > is => 10.09 < 10.9

What is a linear equation?

The algebraic equation y=mx+b is known as a linear equation. M serves as the y-intercept, and B serves as the slope. The previous clause has two variables, y and x, and is sometimes referred to as a "linear equation with two variables". Bivariate linear equations are those with two independent variables. The following are a few examples of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation takes the form y=mx+b, with m denoting the slope and b denoting the y-intercept, it is referred to as being linear. The term "linear" refers to an equation having the form y=mx+b, where m stands for the slope and b for the y-intercept.

the correct comparison symbol to the box.

10.09 10.9

< = >

10.09 < 10.9

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write 3/4 5/7 19/25 11/5 smallest to largest

Answers

Answer:[tex]\frac{5}{7} \\\\ \\\\\frac{3}{4} \\\\\frac{19}{25} \\\\\frac{11}{5}[/tex]

Step-by-step explanation:

can yall help me pls???????

Answers

Answer:45%

Step-by-step explanation:

:))))

Answer:

45%

Step-by-step explanation:

99/180 = 55%

100% - 55% = 45% decrease

Answer: 45%

192192 is what percent of 600600600?192192 is what percent of 600600600?

Answers

Answer:

0.032%

Step-by-step explanation:

192192/600600600 x 100% = 0.00032 x 100%

0.032%

three brothers shared a sum in the ratio of 3:4:5 . If the highest got 37500 how much did they share​

Answers

The amount of they share altogether is 90000

What is ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

For example if two boys are to share 10 mangoes with ratio 1:4. The first boy will get 1/5 × 10 = 2 mangoes and the other boy will get 4/5 × 10 = 4×2 = 8 mangoes.

Three brothers are to share in ratio 3:4:5. The highest ratio is 5. And the the highest ratio gets 37500. The total ratio is 12 i.e 3+4+5 = 12

Represent the total money by x

Then, 5/12 × x = 37500

5x = 37500 × 12

5x = 450000

divide both sides by 5

x = 450000/5

x = 90000

therefore the amount they shared is 90000.

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A tissue box is shaped like a rectangular prism the tissue box measures 5. 2cm wide 9. 6cm long and 6 cm tall approximately what is the volume of the tissue box

Answers

the approximate volume of the tissue box to the nearest whole number is 300 cubic centimeters.

The volume of a rectangular prism is given by the formula V = lwh, where l, w, and h are the length, width, and height of the prism, respectively.

Substituting the given values, we get:

V = (5.2 cm)(9.6 cm)(6 cm)

Simplifying, we get:

V = 299.52 cubic centimeters

Therefore, the approximate volume of the tissue box is 299.52 cubic centimeters.

Since the dimensions of the tissue box are given to only two decimal places, we can reasonably assume that the answer accurate to two decimal places is a good approximation. If we want to express the answer to the nearest whole number, we would round it to the nearest integer.

Rounding 299.52 to the nearest integer, we get:

V ≈ 300 cubic centimeters

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Every year, Johnathan the lumberjack cuts down all the trees on his farm. He finds that %60 of the trees die, but the rest grow again from the stumps that remain. What percent of the original trees are still alive after 3 years?

Answers

After answering the presented question, we can conclude that As a equation result, approximately 44.4% of the original trees are still living after three years.

What is equation?

An equation is a mathematical statement that proves the equality of two expressions connected by the equal symbol '='. 2x - 5 Equals 13, for example. Expressions include 2x-5 and 13. The character '=' joins the two expressions. A mathematical formula with two algebraic expressions on either side of an equal sign (=) is known as an equation. It demonstrates the relationship of equivalence between the left and right formulas. In every formula, LHS = RHS (left side = right side).

Assuming that all of the trees on the farm are cut down each year, the percentage of trees that survive after three years is as follows:

60% of the trees die after the first year, leaving only 40% of the original trees.

Following the first year, 40% of the original trees are still standing.

Following the second year, 40% of the original trees remain + (40% of the original trees * 100% - 60% = 40% stump growth) = 64% of the original trees remain.

Following the third year, 40% of the original trees remain + (64% of the original trees * 100% - 60% = 4.4% stump growth) = 44.4% of the original trees remain.

As a result, approximately 44.4% of the original trees are still living after three years.

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Find the surface area of the sphere. Round your answer to the nearest hundredth.

Answers

Rοunding tο the nearest hundredth, the surface area οf the sphere is apprοximately 50.27 square feet.

What is surface area ?

Surface area is the measure οf the tοtal area that the surface οf an οbject οccupies. It is a twο-dimensiοnal measurement, typically expressed in square units, such as square meters (m²) οr square feet (ft²).

Tο find the surface area (A) οf a sphere with a given circumference (C), we first need tο find the diameter (d) οf the sphere.

The fοrmula fοr the circumference (C) οf a sphere is:

C = 2πr

where r is the radius οf the sphere.

Given that the circumference is 4π ft, we have:

4π = 2πr

Sοlving fοr r, we get:

r = 2 ft

Nοw we can use the fοrmula fοr the surface area οf a sphere with diameter d:

A = 4π(d/2)²

Substituting d = 4 ft (since diameter = 2r), we get:

A = 4π(4/2)²

A = 4π(2)²

A = 4π(4)

A = 16π

A ≈ 50.27

Therefοre, rοunding tο the nearest hundredth, the surface area οf the sphere is apprοximately 50.27 square feet.

A ≈ 50.27

Therefοre, rοunding tο the nearest hundredth, the surface area οf the sphere is apprοximately 50.27 square feet.

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i need help on these questions

Answers

The value of x which would make GHJK a rhombus would be 42 degrees.

Nora can construct a kite with diagonals that bisect each other if the kite is in the shape of a rhombus.

How to find the value of x ?

The way that a Rhombus is drawn is such that ∠ GKJ and ∠ HGK would add up to 180 degrees. If these angles are bisected as shown, then the corresponding angles would add up to 90 degrees as a result.

If this shape is to be a rhombus then the value of x would be :

= 90 - 48

= 42 degrees

What kind of kite has diagonals that bisect  ?

A kite is a quadrilateral with two pairs of adjacent congruent sides. The diagonals of a kite intersect at a right angle, but they do not necessarily bisect each other.

If the diagonals of a kite bisect each other, it means that they cut each other into two equal parts. This can only happen if the kite is a rhombus, which is a special type of kite where all four sides are congruent.

Therefore, if Nora wants to construct a kite with diagonals that bisect each other, she would need to ensure that the kite is a rhombus.

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In a group of 15 children, 5 said they are an only child, 3 said they have 1 sibling only, 4 said they have exactly 2 siblings, and 3 said they have exactly 3 siblings.

What is the average number of siblings for this group?

Enter your answer as a decimal, rounded to the nearest tenth, in the blank.

Answers

the average number should be 32

Please help me I tried I got a 60

Answers

Answer:

X = 90 , Y = 37 and Z = 53 Degrees.

Step-by-step explanation:

Z = 53 as opposite angles of a parallelogram are equal

Therefore, Z + Y + 90 = 180 ( Angle sum Property of a triangle)

= 53 + Y + 90 = 180
Y = 180 - 143
Y = 37

Now to find x , we know Y is the Alternate Interior angle of the angle adjacent to the 90*

Keeping that angle as "o"

Angle O = Angle Y by Alternate Interior Angle Therom

Therefore , Angle X + Angle O + 53 = 180 (ASP of triangle)

Angle X + 37 + 53 = 180

Angle X = 180 - 90
Angle X = 90*


In summary , X = 90 , Y = 37 and Z = 53.

Hope it helps.

Choose the correct item from each drop-down menu to factor the trinomial 3x2 + 13x – 10 by grouping

Answers

The factored form of 3x^2 + 13x - 10 is (3x - 2)(x + 5).

To factor 3x^2 + 13x – 10 by grouping, we need to find two numbers whose product is 3(-10) = -30 and whose sum is 13.

Let's list all the factor pairs of -30:

-1, 30

-2, 15

-3, 10

-5, 6

Out of these pairs, the pair that adds up to 13 is -2 and 15.

We can use these numbers to rewrite the middle term:

3x^2 - 2x + 15x - 10

Now, we can group the first two terms and the last two terms:

(3x^2 - 2x) + (15x - 10)

We can factor out the greatest common factor from each group:

x(3x - 2) + 5(3x - 2)

Now, we can see that we have a common factor of (3x - 2):

(3x - 2)(x + 5)

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The given question is incomplete, the complete question is:

What is the factored form of 3x^2 + 13x - 10?

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