Need this for a math lesson

The measure of <E= 60, <F= 95 and <G= 25 degree.

In geometry, two similar forms are those whose dimensions are identical or have a same ratio but the size or length of their sides differ. Examples include similar triangles, similar rectangles, and similar squares. The scale factor is another name for the common ratio. Additionally, the equivalent angles have the same magnitude.

Given:

The two triangles are similar.

In triangle JKL using Angle Sum Property

<J + <K + <L = 180

95 + 60 + <K = 180

155 + <K = 180

<K = 180- 155

<K = 25 degree

Thus, the measure <E= 60

and, the measure <F= 95

and, the measure of <G= 25.

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Answer:  His average is 85 now.

Step-by-step explanation:

Average is the sum of all his math tests divided by the number of the math tests he took, so we get:

[tex]\frac{sum }{11}=80[/tex]

sum = 11 x 80

sum = 880

880 - 30, we get 850, which becomes the new sum of the 10 math test scores, because he eliminated one test score.

[tex]\frac{850}{10} =85[/tex]

His average is 85 now.

Answer:

y = 4n + 5

Step-by-step explanation:

y is your output and n in your input

y = 4n + 5

When the input is 1, the out put is 9

y = 4n + 5

y = 4(1) + 5

y = 4 + 5

y = 9

When the input is 2, the output is 13

y = 4n + 5

y = 4(2) + 5

y  = 8 + 5

y = 13

And so on and so on....

Answer:

x = 4

Step-by-step explanation:

2x - 3 = 5   Add 3 to each side

2x - 3 + 3 = 5 + 3

2x = 8  Divide both sides by 2

[tex]\frac{2x}{2}[/tex] = [tex]\frac{8}{2}[/tex]

x = 4

Answer:

The radical approximations of 7.07, 7.21, and 7.93 to the nearest whole number are:

2.65

2.68

2.82

Step-by-step explanation:

Sure, here's a step-by-step explanation of finding the approximate square root of 7.07, 7.21, and 7.93 to the nearest whole number:

Start by finding an approximate square root by making an educated guess or by using a calculator.

Use the initial guess to determine if the number is closer to the actual square root or to a smaller or larger value.

Refine the estimate by averaging the guess and the number divided by the guess.

Repeat the process of refining the estimate until a satisfactory level of accuracy is reached.

Here's an example for 7.07:

An educated guess for the square root of 7.07 could be 2.7

Dividing 7.07 by 2.7 gives an estimated value of 2.61, which is closer to the actual value.

To get a more accurate estimate, the average of 2.7 and 2.61 (2.655) is taken as the new estimate.

Repeat steps 2 and 3 until the desired level of accuracy is achieved.

After several iterations, the square root of 7.07 is approximately equal to 2.65.

Similarly, you can find the approximate square roots of 7.21 and 7.93.

Answer:

C) E = 118°; T = 118°

-----------------------------------

The given figure is a kite since it has two pairs of congruent sides as marked.

Its one pair of opposite angles are congruent. That is:

Sum of all interior angles of a quadrilateral is 360°:

Both the missing angles are 118°.

The distance between these two points (2,0) and (2,−5) is 5 unit.

The distance between two points is the length of the line segment connecting the two points on the plane. The formula for finding the distance between two points is usually d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on the coordinate or x-y plane.

d=√((2 – 2)² + (-5 – 0)²)

d = √(0+25)

d = 5 unit

if the coordinates of two points P and Q are such that, (x1, 0) and (x2, 0), the distance between PQ will be given by:

PQ = |x2 – x1|

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The mean, also known as the average, is a central value that represents the typical value of a set of data.

To calculate the mean, you add up all the values in the data set and divide by the number of values. The mean provides a general sense of the distribution of the data and helps to identify any patterns or trends. In the stem-and-leaf plot, the mean can be calculated by adding up all the values and dividing by the number of throws. The mean in this case is 4.62 feet, which indicates that a typical throw of the ball results in 4.62 feet. This value can be used to gain a better understanding of the overall performance of the ball thrower and provide insight into how far the ball is typically thrown.

It is important to note that the mean is sensitive to outliers or extreme values, so it may not accurately reflect the typical value of the data in all cases. However, in this particular case, the mean provides a useful representation of the typical performance of the ball thrower.

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Answer:d

Step-by-step explanation:

The hybrid car will consume approximately 21.65 liters of gasoline to travel 132 km.To convert the hybrid car's fuel consumption rate from miles/gallon to kilometers/liter, we need to multiply by a conversion factor of 0.425 (1 mile = 1.609 kilometers, 1 gallon = 3.785 liters).

So the car's fuel consumption rate is 54.1 miles/gallon x 0.425 km/mile ÷ 3.785 liters/gallon = 6.09 km/liter.To find how many liters of gasoline the car will consume traveling 132 km, we can use the formula:

Gasoline consumed = distance traveled ÷ fuel consumption rate

Gasoline consumed = 132 km ÷ 6.09 km/liter = 21.65 liters (rounded to two decimal places).Therefore, the hybrid car will consume approximately 21.65 liters of gasoline to travel 132 km.

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If radius of circle is tripled then area of circle will be increased by:9 times.

If the radius of a circle is tripled, then the new radius is three times the original radius, or R' = 3R, where R is the original radius and R' is the new radius. The area of a circle is given by the formula A = πR^2, where A is the area and R is the radius.

Substituting R' = 3R into the formula for the area of a circle, we get:

A' = πR'^2

= π(3R)^2

= 9πR^2

Therefore, the new area A' is 9 times the original area A. In other words, if the radius of a circle is tripled, the area of the circle will be increased by a factor of 9. This is because the area of a circle is proportional to the square of its radius.

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Answer: 1.25 and 1.33

Step-by-step explanation:

question 3:

both sides of 24 became sides that measure 30.

24 times x = 30

therefore x, the scale factor, is 1.25

question 4:

3 increases to 4 and 15 increases to 20 (you have to rotate these shape before anything else to see the corresponding changes)

15 times x = 20

20 divided by 15 is 1.33 repeating, so 4/3

If u ever had a side getting smaller in the second shape, the scale factor would be less than 1.

Answer:

Step-by-step explanation:

first, write down on paper 3 5/12 - 8/12 then convert the mixed fraction into a more straightforward form. so 3 5/12 equals 37/12. then you do 37 - 8 = 29 so then change it into a fraction and the answer is 29/12. if you what it as a mixed fraction then it would be 2 5/12

Answer: the initial points is 30.
and per pair of shoes is 15.

Step-by-step explanation:

Answer:

50 kg of green tea leaves and 50 kg of assam black tea leaves.

Step-by-step explanation:

Let x kg be the amount of green tea and y kg be the amount of Assam tea.

x+y=100 (1) [mass]

price for 1 kg of assam tea= 7.20/600×1000g

= $12/kg

total cost= 100×10

= $1000

8x+12y= 1000 (2) [cost]

(1)×8: 8x+8y= 800 (3)

(2)-(3): (8x+12y)-(8x+8y)= 1000-800

4y= 200

y= 50 (4)

sub (4) into (1):

x+50= 100

x= 50

Answer:

x = 4

Step-by-step explanation:

2x(x) + 28 = (2x + 2)(x + 2) ← expand factors using FOIL

2x² + 28 = 2x² + 6x + 4 ( subtract 2x² from both sides )

28 = 6x + 4 ( subtract 4 from both sides )

24 = 6x ( divide both sides by 6 )

4 = x

The wooden artifact was made approximately 3,183 years ago. The amount of carbon-14 present in an artifact can be used to determine how long ago the organism that the artifact came from died.

The half-life of carbon-14 is 5730 years, which means that every 5730 years, half of the carbon-14 in a sample will decay. Let's call the amount of carbon-14 in the living tree sample 100%. Since the artifact contains 35% of that amount, we can write:

0.35 x 100% = 100% x (1/2)^(t/5730)

where t is the number of years since the artifact was made.

Simplifying this equation, we get the following:

0.35 = 0.5^(t/5730)

Taking the logarithm of both sides, we get:

log(0.35) = (t/5730) x log(0.5)

Solving for t, we get:

t = (5730 x log(0.35)) / log(0.5)

Using a calculator, we get:

t ≈ 3,183 years

Therefore, the wooden artifact was made approximately 3,183 years ago.

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Answer: Just to get your attention (don't mind rating this)

Step-by-step explanation:

I'm sorry, but there's no table or information about the sample provided for me to estimate the mean speed of the sample. Can you please provide more information or clarify your question?

The minimum number of hours life guarding that Daniel must work to meet his requirements = 12 hours

To the nearest whole number approximately:

If the digit following the decimal is less than 5, only the number preceding the decimal should remain unchanged.

Add one to the number before the decimal and eliminate the decimal part if the digit following the decimal is five or greater.

Given the information,

Babysitting pays Daniel $8 per hour, and life guarding pays him $15 per hour.

Daniel can only work a total of 18 hours per week and must make at least $200.

Daniel has been babysitting for three hours.

Daniel thus makes 3 x 8 = 24 dollars.

He has earned $200 - 24 = 176 dollars from the original $200.

Let's say Daniel was a lifeguard for m hours.

He therefore made m x 15 = 176.

15 × m = 176

m = 11.73

m ≈ 12 hours

So, the minimum number of whole hours = 12

This means, Daniel must work 12 hours lifeguarding to meet his requirements.

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The length of the garden which is in the shape of a rectangle with a perimeter of 18 meters and whose length is 3 meters more than twice the width, is 7 metres.

Let's name the width "w" and the length "l" of the rectangle.

We know from the problem description that the rectangle's perimeter is 18 metres, thus we can formulate an equation:

2l + 2w = 18

We also know that the length is 3 metres longer than the breadth, thus we can solve the following equation:

l = 2w + 3

We may plug the second equation into the first to remove the letter "l" and get an equation with only one variable:

2(2w + 3) + 2w = 18

When we simplify this equation, we get:

6w + 6 = 18

When we subtract 6 from both sides, we get:

6w = 12

When we divide both sides by 6, we get:

w = 2

We can use the second equation to get the length now that we know the width is 2 metres:

l = 2w + 3 = 2(2) + 3 = 7

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The formula to calculate the new value after an increase is to multiply the original value by the percentage of the increase.

The formula to calculate the new value after an increase is to multiply the original value by the percent of the increase. For example, if the original value is $100 and the increase is 10%, the new value would be $100 x 1.10 = $110. This formula can be applied to any original value and any percentage increase. It is useful for calculating the new value after applying a percentage increase, such as when calculating a pay raise or the cost of goods after a price increase. The formula can also be applied to calculate the new value after a percentage decrease, by multiplying the original value by 1 minus the percentage of the decrease.

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The complete question is

the formula for calculating the value after an increase by multiplying the original value by the percent for a new value is: value after increase  by multiplying the original value by the percent for a new value?

The account would contain 10,230.00 after 1 year.the amount in the account after 1 year, we can use the formula: [tex]P (1 + r/n)^nt[/tex]

To find the amount in the account after 1 year, we can use the formula:[tex]P (1 + r/n)^nt[/tex]

Where,

P = Principal Amount

r = Rate of Interest

n = Number of times the interest is compounded per year

t = Time in years

For this question,

P = 10,000

r = 2.3%

n = 1

t = 1

Therefore,

[tex]10,000 (1 + 0.023/1)^1*1\\10,000 (1.023)^1[/tex]

10,000 x 1.023

= 10,230.00

The complete question is:

If 10,000 is deposited into a savings account that pays 2.3% annual interest, how much more would the account contain after 1 year?

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Answer:

256

Step-by-step explanation:

65% is 208

15% is 48

15% + 65% is 80%

So, just add 48 and 208 together:

48 + 208 = 256

Therefore, 80% of that number is 256.

Answer:

256

Step-by-step explanation:

We know that 65% of a number is 208 and 15% is 48, so we can simply add 208 + 48 to get 256.

a) Since Todd and Amani started with the same initial deposit, they will never have the same amount in their accounts if they keep to their weekly savings plans because Todd's weekly savings are two times that of Amani.

b) An equation to represent the total amount in each of their accounts at any given time or weeks is as follows:

An equation is a statement of equality or equivalence of two or more mathematical expressions.

Mathematical expressions combine values, variables, and numbers or constants without the equation symbol (=), which differentiates them from equations.

                                        Todd     Amani

Initial deposit in account  $10       $10

Weekly deposits               $4         $2

Let the number of weeks of deposits = w

Let the total deposit in Todd's account in w weeks = t

t = 10 + 4w

Let the total deposit in Amani's account in w weeks = a

a = 10 + 2w

For Todd's and Amani's account to be equal, 10 + 4w = 10 + 2w

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From the given choices, we get:

No. People generally favor some numbers over others so that they don't select numbers with a process that is truly random.

The correct option is D.

A computer experiment in which you can select a random sample from the given probability distributions is called a simulation.

Given:

A student wants to simulate 28 birthdays,

but she does not have a calculator or software program available,

so she makes up 28 numbers between 1 and 365.

By comparing with the definition:

From the given choices, we get,

D. No. People generally favor some numbers over others so that they don't select numbers with a process that is truly random.

Hence, D is the correct option.

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The probability that all marbles chosen are red is obtained using the hypergeometric distribution, which is presented during the answer.

The mass probability formula is presented as follows:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

The meaning of each parameter for this problem is given as follows:

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Answer:

In 6 seconds: 180 m

20 m: in 2 seconds

Step-by-step explanation:

y = distance

x = time

y is proportional to x:

y = kx

y is proportional to the square of x:

y = kx²

We are given: (3, 45)

45 = k × 3²

45 = 9k

k = 5

The equation is:

y = 5x²

When x = 6,

y = 5(6²)

y = 180

180 m in 6 seconds

When y = 20,

20 = 5x²

x² = 4

x = 2

2 seconds for 20 m

Answer: hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

Answer:

2673+$&$&#7635+62578

The final mixture contains 7 quarts.

What is Mixture?

A mixture is generated when more than one chemical is mixed. A mixture can be created in a variety of ways, including using a liquid, solid, or gaseous medium.

First, let's add up the amount of the three ingredients to find the total volume of the mixture:

144 fl oz + 24 fl oz + 56 fl oz = 224 fl oz

Now, we can convert fluid ounces to quarts:

1 quart = 32 fluid ounces

So, we can divide the total volume in fluid ounces by 32 to find the total volume in quarts:

224 fl oz / 32 fl oz/quart = 7 quarts

Therefore, The final mixture contains 7 quarts.

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