Which triangle congruence postulate or theorem proves that these triangles are
congruent?
Pls help

Answer:

6.57m i think

Step-by-step explanation:

The mode will not change.

Given data,

58,60,53,54,60,35,58,60

Outlier is the value in a set of data that much higher or lower than other values in data.

from given data, outlier is 35.

Mode is the value in a set of data that occurs more frequently in set of data.

from given data, 60 occurs more frequently.

Hence, 60 is the mode of data.

If outlier is removed from the data set then it will not affect the mode of the data

Thus, the mode will not change.

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Proportionately, if each kilogram of rice needs ¹/₅ th of the total amount of raw paddy or 60 kg, to manufacture 3 kg of rice, the rice factory needs 180 kg of raw paddy.

The quantity of raw paddy required to manufacture 3 kg of rice can be determined by proportions.

Proportion is the equation of two ratios.

The quantity of raw paddy required by each kg of rice = ¹/₅

The total raw paddy available = 300 kg

¹/₅ of 300 kg = 60 (300 x ¹/₅)

Proportionately, the quantity of raw paddy required for 3 kg of rice = 180 (60 x 3).

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Answer:

x ≈ 24.4

Step-by-step explanation:

Given

tan18° = \(\frac{x}{75}\) ( multiply both sides by 75 )

75 × tan18° = x , then

x ≈ 24.4 ( to 1 dec. place )

The equation of the line passing through A and B is y = (4/5)x - (2/5).

A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. The y-axis intercept is denoted by the number c. A straight line with gradient m and intercept c on the y-axis has the equation y = mx + c.

The point-slope form of a linear equation can be used to find the equation of the line passing through points A and B:

y - y1 = m(x - x1) (x - x1)

where m denotes the slope of the line, (x1, y1) denotes the coordinates of point A or B, and (x, y) denotes the coordinates of any other point on the line.

To calculate the slope, we can use points A (3, 2) and B (8, 6).

m = (y2 - y1) / (x2 - x1) = (6 - 2) / (8 - 3)\s= 4 / 5

So the equation for the line connecting A and B is:

y - 2 = (4/5)(x - 3) (x - 3)

This equation can be simplified by multiplying both sides by 5:

5y - 10 = 4x - 12

Then we can rearrange it to form the slope-intercept equation, y = mx + b:

5y = 4x - 2

y = (4/5)x - (2/5)

As a result, the equation for the line connecting A and B is y = (4/5)x - (2/5).

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Answer:

\( \frac {1}{3}x - 5 \)

Step-by-step explanation:

Let the unknown number be x.

Translating the word problem into an algebraic expression, we have;

\( \frac {1}{3}x - 5 \)

Or

\( \frac {x}{3} - 5 \)

Simplifying further, we have;

\( \frac {x}{3} = 5 \)

Cross-multiplying, we have;

x = 15

Therefore, the above algebraic expression is five less a third of a number.

The total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

Given:

Court lines are 50 mm wide.

Court paint covers 7 m² per litre of paint.

The centre circle is a complete circle, so the circumference is given by the formula: Circumference = 2πr

Radius of the entire circle = 9 m / 2 = 4.5 m

Radius of the centre circle = 4.5 m - 0.05 m (converted 50 mm to meters) = 4.45 m

Circumference of the centre circle = 2π(4.45 m) = 27.94 m

Next, let's calculate the circumference of the semicircles:

The semicircles are half circles, so the circumference is given by the formula: Circumference = πr

The radius (r) of the semicircles is the same as the radius of the entire circle, which is 4.5 m.

Circumference of a semicircle = π(4.5 m) = 14.14 m

Total length = Circumference of the centre circle + 2 x Circumference of a semicircle

Total length = 27.94 m + 2(14.14 m)

Total length = 56.22 m

Therefore, the total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

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Answer:

Shorter leg = 20 cm.

Longer leg = 21cm.

Hypotenuse = 29 cm

Step-by-step explanation:

Let the shorter leg be x cm long

Then longer leg = x + 1 and hypotenuse = x + 9 cm long

So by Pythagoras:

x^2 + (x + 1)^2 = (x + 9)^2

0 = x^2 + 18x + 81 - x^2 - (x^2 + 2x + 1)

x^2 + 18x + 81 - x^2 - x^2 - 2x - 1 = 0

-x^2 + 16x + 80 = 0

x^2 - 16x - 80 = 0

(x - 20)(x + 4) = 0

So x = 20   (we ignore the negative root).

So longer leg = 20 + 1 and hypotenuse = 20 + 9.

a) The relations is classified as a linear relation.

b) The relation is classified as a quadratic relation.

For item a, we have that when x is increased by one, the first differences are always of -2, meaning that the output y decreases by 2.

Hence in item a we have a linear relation with an slope of -2.

For item b, the first differences are given as follows:

7, 5, 3, 1.

Then the second differences are given as follows:

-2, -2, -2.

As the second differences are constant, the relation is a quadratic relation.

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Normal good

There are 3 basic types of commodities or goods;

i. The normal good

ii. The luxury good

iii. The inferior good

Relative to income and demand, when an increase in income causes an increase in the demand for a good, then the good is a normal good. For a normal good, the measure of the responsiveness of demand to a change in income (known as income elasticity of demand) is always greater than 0. In other words, it is positive.

If instead, an increase in income causes a decrease in the demand for a good, then the good is an inferior good. The income elasticity of demand for an inferior good is less than 0. In other words, it is negative.

When the increase in income causes a larger percentage in the demand for a good, then the good is a luxury good. Luxury goods are a special type of normal goods. The income elasticity of demand for a luxury good is greater than 1 since their is a larger percentage increase in the demand.

Income elasticity of demand is calculated by finding the ratio of the percentage increase in the demand to the percentage increase in income.

In the illustration given, the consumer's income increases by 50% causing the demand for good Y to increase by 25%. This is an example of a normal group. i.e increase in income causes an increase in the demand for good Y.

The income elasticity of demand for good Y is given as the ratio of the percentage increase in demand (25%) to the percentage increase in income (50%). Therefore, the income elasticity of demand for good Y is;

25% / 50% = 0.5

Since the income of elasticity of demand for good Y is 0.5 which is greater than 0, good Y is a normal good.

The correct statement is that for each hour, the earnings go up by $7. Option A

If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.

We can find the slope of the graph to know as said above;

m = y2 - y1/x2 - x1

m = 14 - 0/2 - 0

m = 7

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Answer:

69.53 or 70(depending on rounding)

Step-by-step explanation:

The squares area is (9*2)^2 which is 324.

The circles area is 9^2 pi or 254.47 approx.

Subtract and you get 69.53 or 70

Answer:

Step-by-step explanation:

Since a total of 96 people have entered the store and 32 of them have bought 2 or more items, it is clear that the next person entering the store has a probability of 32/96 or 1/3 that he/she will buy 2 or more items.

Answer:

3

Step-by-step explanation:

27^1/3

= 3√27

=3 is the collect option

Answer:

$40.00 is the answer

Step-by-step explanation:

also can you mark me as a brainlist if you get a chance

Answer: $40.00

Step-by-step explanation:

12 is 30% of 40

Answer:

the two values that are a distance of 5 from 0 are -5 and 5.

Step-by-step explanation:

if you look at a number line, you will see that the number 0 is in the middle. if you count 5 from each side, it's -5 and 5. any other number would have a greater distance than 5 from 0. hope this helps.

Answer:

Step-by-step explanation:

Have a good grades and study well sweetie

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Answer:

40

\(38 \div 95 \times 100\%\)

The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.

To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.

The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.

The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -A and b = 250. Plugging in these values, we get:

x = -250 / (2 * (-A))

= 125 / A

To find the maximum revenue, we substitute this value of x into the revenue equation:

R = -A * (125 / A)^2 + 250 * (125 / A)

= -A * (15625 / A^2) + (31250 / A)

= -15625 / A + 31250 / A

= 15625 / A

The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.

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Answer:

the answer is -4

Step-by-step explanation:

Answer:

$0.64 per cup

Step-by-step explanation:

There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:

1 gallon: 16 cups

2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups

So we need to find the price of each cup:

1 cup = ($20.48 / 32 cups) = $0.64 per cup.

Answer:

the stock will sell for $59.16

Step-by-step explanation:

P0 =  2 * (1+0.2) / (1+0.105)  +  2 * (1+0.2) * (1+0.12)  /  (1+0.105)^2  +  

2*(1+0.2)*(1+0.12)^2 / (1+0.105)^3 +

[(2 * (1+0.2) * (1+0.12)^2 * (1+0.06) / (0.105-0.06))  /  (1+0.105)^3 ]

P0 = $59.16

Answer:

360 cm^2

Step-by-step explanation:

The length of the rectangle can be found using the formula for perimeter:

Perimeter = 2 * (length + width)

Rearranging the equation, we can solve for the length:

length = (Perimeter - 2 * width) / 2

Plugging in the given values:

length = (78 - 2 * 15) / 2 = (78 - 30) / 2 = 48 / 2 = 24 cm

Next, the area of the rectangle can be found using the formula:

Area = length * width

Plugging in the given values:

Area = 24 * 15 = 360 cm^2

Answer:

\(x^4-12x^3+54x^2-108x+81\)

Step-by-step explanation:

We have been given the following binomial expansion for (a + b)⁴:

\(\boxed{(a+b)^4=a^4+4a^3b+6a^2b^2+4ab^3+b^4}\)

To use this to expand and simplify (x - 3)⁴, first identity the values of a and b:

Substitute the values of a and b into the expansion, and simplify:

\(\begin{aligned}(x-3)^4&=x^4+4x^3(-3)+6x^2(-3)^2+4x(-3)^3+(-3)^4\\\\&=x^4+4x^3(-3)+6x^2(9)+4x(-27)+81\\\\&=x^4-12x^3+54x^2-108x+81\end{aligned}\)

Answer:

16

Step-by-step explanation:

When we substitute -24 for b in the given expression, we have:

\(10 - \frac{ - 24}{4} = 10 + \frac{24}{4} = 10 + 6 = 16\)

The equation is y = 300x + 1,750. And the total cost after 1 hour and 20 hours of work will be $2,050 and $7,750, respectively.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A lawyer charges a proper expense for an underlying gathering and an hourly charge for the entire hours worked after this gathering. She charges $1750 for an underlying gathering and $300 consistently worked.

Let 'x' be the number of hours and 'y' be the total cost. Then the equation is given as,

y = 300x + 1750

The total cost after 1 hour of work will be

y = 300 (1) + 1,750

y = 2,050

The total cost after 20 hours of work will be

y = 300 (20) + 1,750

y = 7,750

The equation is y = 300x + 1,750. And the total cost after 1 hour and 20 hours of work will be $2,050 and $7,750, respectively.

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Answer:

6) a) 15 inches

7) b) 4 cm

The side of the square 4 cm

8) C)

Area of the square = side ×side

Step-by-step explanation:

Step(i):-

Given that the perimeter of the square is twice the perimeter of the triangle

we know that the perimeter of the square = 4a and

The perimeter of the triangle = a+b+c

Given that the perimeter of the square is twice the perimeter of the triangle

             4a = 2( a+b+c)

             2a = 11 +9+10

             2a = 30

               a =15

The side of the square = 15 inches

Step(ii):-

7)

Given that the area of the square is equal to the area of the rectangle

         a² = length × breadth

        a²  = 8×2 =16

       a= √16

      a = 4cm

8)

Area of the square = side ×side