Suppose △ITH≅△APG.

Which congruency statement is true?

To find the function rule for the line ,

we pick two points from the graph

Lets pick (-2,1)  and (0,-2)

We find the slope using two given points

[tex]slope = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

(-2,1) is (x1,y1)  and (0,-2) is (x2,y2)

Plug in the values in the slope formula

[tex]slope = \frac{-2 - 1}{0 - (-2)}[/tex]

[tex]slope = \frac{-3}{2}[/tex]

To frame equation we use equation y = mx + b

Here y intercept is -2 that is our b

So equation becomes [tex]y=\frac{-3}{2} x -2[/tex]

Answer:

The answer is f(x) = -3/2x - 2

good luck!

The correct equation for Marco to determine the price of each floral arrangement is 'C = 11r + 4', which represents the total cost of the arrangement 'C' calculated by summing the cost of 11 orchids (11 times 'r') and the cost of one vase ($4.00).

To determine the total cost of each floral arrangement that Marco is selling, the cost of the vase and the cost of the orchids used in the arrangement must be added together. As per the question, each arrangement uses one vase that costs $4.00 and 11 orchids. However, the cost of individual orchids is not mentioned and represented by 'r' in the question.

Therefore, the equation Marco should use to find the total cost of each floral arrangement is D. C = 11r + 4. This equation denotes that the total cost of the arrangement 'C' is the sum of the cost of 11 orchids (11 times 'r', where 'r' is the cost of one orchid), and the cost of the vase which is $4.00.

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Every odd whole number can indeed be written as the difference of two squares, leveraging the fact that the difference between the squares of consecutive integers is an odd number.

The question whether every odd whole number can be written as the difference of two squares is of arithmetical and algebraic interest. The answer is yes, every odd whole number can be expressed as such. For example, consider the odd whole number 7. This number can be expressed as 4^2 - 3^2, which simplifies to 16 - 9, giving us 7. Generally, for any odd whole number n, we can find whole numbers x and y such that n = x^2 - y^2. This is because we can write n = (m+1)^2 - m^2, where m is an integer. Essentially, m can be taken as (n-1)/2 which ensures that m and m+1 are consecutive integers, hence their squares differ by an odd number, which is n.

Answer:

At the end of the 5 days week, the number cups of oatmeal left are 59/18.

Step-by-step explanation:

Given that the container has 5 and half or 11/2 cup of oatmeal. Every morning Liam at 4/9 cups of oatmeal and this took place for 5 days. So, multiply it with 5. The total cups of oatmeal for 5 days will be 20/9.

The cups of oatmeal left after 5 days are

(11 / 2) - (20 / 9)

(99 - 40) / 18

59 / 18

So, 59/18 number of cups of oatmeal are left at the end of 5 days.

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Answer:

Its c

Step-by-step explanation:

The table is:

Number of washes denoted by x: 0, 8, 12

Amount left on card denoted by y: 30, 18, 12

a.       Write an equation that shows the amount of dollars left on the card

Solution:

18 – 30 divided by 8 – 0 = -12/8

On simplest form is -3/2

The equation is y = -3/2x + 30

b.      Explain the meaning of the negative slope above.

As the number of car washes increase, the dollars left on the card decreases.

c.       What is the maximum value of x?

0 = -3/2x + 30

2/3 x 3/2 x = 30/1 x 2/3

Cancel 2/3 x 3/2 and reduce 30 by 3 we get 10, 10 x 2

x = 20

Answer:

my friend here justin and he is carck at fortnite my guy

Step-by-step explanation:

Answer:

the product using the distributive property. (4h+6)(4h-7) is, [tex]16h^2-4h-42[/tex]

Step-by-step explanation:

The distributive property says that:

[tex]a \cdot (b+c) =a\cdot b+ a\cdot c[/tex]

To find the product:

[tex](4h+6)(4h-7)[/tex]

then;

[tex]4h(4h-7)+6(4h-7)[/tex]

Apply the distributive property we have;

[tex]16h^2-28h+24h-42[/tex]

Combine like terms we have;

[tex]16h^2-4h-42[/tex]

therefore, the product using the distributive property. (4h+6)(4h-7) is, [tex]16h^2-4h-42[/tex]

40-10=30

30/2 = 15

 one is 15 meters

 the other is 25 meters

40-10=30

30/2 = 15

One of them is 15 meters and the other is 25 meters.

Answer:

You spelled grandparents wrong.

Step-by-step explanation:

To find the fraction of people who chose the fourth drink, we subtract the fractions of people who chose the other three drinks from 1. The fraction is 3/30.

To determine the fraction of people who chose the fourth drink, we need to subtract the fractions of people who chose the other three drinks from 1.

The fraction of people who chose Orange Crush is 1/3, the fraction of people who chose Killa Kola is 2/5, and the fraction of people who chose Lime Sublime is 1/6.

To find the fraction of people who chose the fourth drink, we subtract the sum of these three fractions from 1: 1 - 1/3 - 2/5 - 1/6.

To simplify this calculation, we can find a common denominator for the fractions. The least common multiple of 3, 5, and 6 is 30.

Converting the fractions to have a denominator of 30, we get: 30/30 - 10/30 - 12/30 - 5/30 = 3/30.

Therefore, the fraction of people who chose the fourth drink is 3/30.