What is the measure of angle 7?
The measure of angle 1 is (3x + 10) and the measure of angle 4 is (4x -
15)
24
68
57
13

The equation of the line in slope-point form is:

y - 7 = -4/5(x + 6)

The equation of a line in slope-point form is given by:

y - y₁ = m(x - x₁)

where:

(x₁, y₁) represents the coordinates of a point on the line.

m represents the slope of the line.

m = (y₂ - y₁)/(x₂ - x₁)

(x₁, y₁) represents the coordinates of the 1st point on the line

where (x₂, y₂) represents the coordinates of the 2nd point on the line

We have

(x₁, y₁) = (-6, 7)

(x₂, y₂) = (4, -1)

m = (y₂ - y₁)/(x₂ - x₁)

m = (-1 - 7) / (4 - (-6))

m = -8/10

m = -4/5

Using y - y₁ = m(x - x₁):

y - 7 = -4/5(x - (-6))

y - 7 = -4/5(x + 6)

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Answer: 16%

Step-by-step explanation:

The equation for the line of best fit is given as follows:

y = 50x/3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

The parameters of the definition of the linear function are given as follows:

From the graph, when x = 0, y = 0, hence the intercept b is given as follows:

b = 0.

Hence:

y = mx.

When x = 3, y = 50, hence the slope m is given as follows:

3m = 50

m = 50/3.

Hence the equation is:

y = 50x/3.

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Answer:

I just guessed random numbers until I got 66 and 130.

Answer:

Step-by-step explanation:

Hi there!

Let one of the number be "x" then the next number is x+64.

According to the question,

The sum of two numbers is 196.

i.e x + (x+64) = 196

or, 2x +64 = 196

Subtract 64 from both sides,

2x +64-64 = 196 - 64

2x = 132

Divide both sides by 2,

\(\frac{2x}{2}\) = \(\frac{132}{2}\)

x = 66

And x+64 = 66+64 = 130

Therefore, the one number was 66 and another was 130.

Hope it helps!

Answer:37

Step-by-step explanation: it’s

Step-by-step explanation:

Water filled in 20 second = 200 liters

Water filled in 1 second = 200 / 20 = 10 liters

The flow rate of the pump is 10 liters per second.

Hope it will help :)

Based on the water the pump supplies in 20 seconds, we can find that the flow rate of the pump is 10 liters per second.

The flow rate is essentially the amount of water the pump supplies per unit amount of time which in this case is seconds.

It can be calculated as:

= Amount of water supplied / Time supplied

= 200 / 20

= 10 liters per second

In conclusion, the pump has a flow rate of 10 liters per second.

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Answer:

in explanation

Step-by-step explanation:

angle rules say that those angles respond to each other meaning

they will equal each other

so 6x-4=4x+14

now solve for x

x=9

the top angle will be

6(9)-4=50

bottom angle will be 50

4(9)+14=50

The required proof that (x + 4)(x + 2) is equivalent to x² + 6x + 8 for all values of x is explained in the solution part.

We can use the graph of the function y = x² + 6x + 8 to show that (x + 4)(x + 2) is equivalent to x² + 6x + 8.

First, let's graph the function of parabola y = x² + 6x + 8.

The graph of y = x² + 6x + 8 is shown below.

Next, let's consider the expression (x + 4)(x + 2).

We can simplify this expression by using the distributive property:

(x + 4)(x + 2) = x(x + 2) + 4(x + 2)

= x² + 2x + 4x + 8

= x² + 6x + 8

This shows that (x + 4)(x + 2) is equivalent to x² + 6x + 8 for all values of x.

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The probability of observing an 85°F temperature or higher in Los Angeles during a randomly chosen day in June is 0.266.

We are given information about the temperatures in Los Angeles for the month of June. The average daily high temperature in June in LA is 80°F. The standard deviation in the temperature values is 8°F. The temperatures in June closely followed a normal distribution. We need to find the probability of observing an 85°F temperature or higher in Los Angeles during a randomly chosen day in June. Let the mean, standard deviation, value, z-score, and probability be represented by the variables M, S, X, Z, and P. First of all, we will find the z-score for the given temperature value.

Z = (X - M)/S = (85 - 80)/8 = 5/8 = 0.625

We want to find the probability for Z-values greater than or equal to the calculated z-score. We need to use the z-score table to find the corresponding probability.

P(z ≥ 0.625) = 0.26599

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The quantity of candy that Eric ate would be = 14/15

The quantity of Candy Kim had = 2⅓ pounds.

The quantity of Kims candy that Eric ate = 2/5

That is 2/5 of 2⅓.

The actual quantity of candy that Eric ate = 2/5× 7/3 = 14/15

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The total number of terra-cotta tiles needed is 220 tiles.

The total number of blue tiles needed is 4428 tiles.

The cost of all the tiles would be  $3,092.60.

The first step is to determine the area of the entryway and the kitchen.

Area of the entryway = length x width

(22 - 18) x 10 = 40 ft²

Area of the kitchen = 10 x 18 = 180ft²

Sum of the areas of the entryway and the kitchen = 180 + 40 = 220 ft² = 220 tiles

Total cost = 220 x $5 = $1100

Areas of the bathroom floors = (10 x 6) + (7 x 9) = 123ft²

Convert ft² to in²

1 ft² = 144in²

123 x 144 = 17,712 in²

Number of tiles needed = 17,712 / 4 = 4428 tiles

Total cost = 4428 x 0.45 = $1992.60

Total cost = $1992.60 + $1100 = $3,092.60

Here is the complete question:  Dareen's family now wants to Install 1-foot-square terra-cotta tiles in the entryway and kitchen, and 4-inch-square blue tiles on each bathroom floor. The

terra-cotta tiles cost $5 each, and the bathroom tiles cost 45€ cach. How many of each kind will they need? What will all the tiles cost?

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Answer:

domain: {3,6,9}

range: {1,4,9}

Step-by-step explanation: take the x values in increasing order for domain and the y values in increasing order for range. Do not repeat values.

Answer: The square root of 283 lies between the square roots of 256 and 324, which are 16 and 18, respectively. Therefore, an estimate for the square root of 283 is between 16 and 18, and we can round to the nearest whole number, which is 16.

Step-by-step explanation:

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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

\(\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)

Given that x varies inversely with y, x=6 when y=-4, find y when x=8.

\(\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)

If x varies inversely with y, we divide.

So the formula looks as follows:-

\(\bold{x=\displaystyle\frac{k}{y} }\)

where k = constant of proportionality

Plug in the values:-

\(\bold{6=\displaystyle\frac{k}{-4}}\)

Multiply both sides by -4:-

\(\bold{-24=k}\)

Now find y when x=8:-

\(\bold{8=\displaystyle\frac{-24}{y}}\)

Multiply both sides by y:-

\(\bold{8y=-24}\)

Divide by 8 on both sides:-

\(\dashrightarrow\bigstar{\boxed{\boxed{\underline{\bold{y=-3}}}}\dashleftarrow\)

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

Step-by-step explanation:

sin²x = 2 - 2cosx

1 - cos²x = 2 - 2cosx (because sin²x + cos²x = 1)

cos²x - 2cosx + 1 = 0

(cosx - 1)² = 0

cosx - 1 = 0

cosx = 1

Hence x = 0.

The theoretical probability exceeds the Experimental probability. Then the correct option is D.

The occurrence of the event is given as,

P = (Favorable event) / (Total event)

For the theoretical probability, the total number of events will be 6.

Total event = 6 {1, 2,3, 4, 5, 6}

The theoretical probability of getting the number 6 is given as,

P = 1/6

P = 0.1667

For the Experimental probability, the total number of events will be 150.

The Experimental probability of getting the number 6 which landed 22 times is given as,

P = 22 / 150

P = 0.1467

The theoretical probability exceeds the Experimental probability. Then the correct option is D.

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The complete question is attached below.

Answer:

a four-sided plane rectilinear figure with opposite sides parallel.

Step-by-step explanation:

Answer:

Parallelograms are a type of quadrilateral, which is a polygon with four sides. A parallelogram is a specific type of quadrilateral that has two pairs of parallel sides. This means that the opposite sides of a parallelogram are parallel and equal in length.

In addition to having parallel sides, parallelograms also have some other notable properties:

Opposite angles are congruent: The opposite angles of a parallelogram are equal in measure. This means that if you label the angles A, B, C, and D, then angle A is congruent to angle C, and angle B is congruent to angle D.

Step-by-step explanation:

A credit score is a number indicating your creditworthiness, and a credit rating is a measurement of how your credit score compares to others.

A credit score is a number indicating your creditworthiness. A credit score usually lies between 300 and 850. A credit score is used to estimate how likely it is that you would pay your credit.

A credit rating is a measure of in letters that expresses the credit worthiness of an individual.

Answer:

c

Step-by-step explanation:

Answer:

$880

Step-by-step explanation:

Use the equation:

\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.

220=(1-0.75)x

simplify parenthesis terms

220=0.25x

divide both sides by 0.25

880=x

So, the original price was $880.

Hope this helps! :)

Answer:$31,500

Step-by-step explanation:

To calculate the total amount Mario will pay, including the loan amount and interest, for the loan from First Bank of Trust, we need to calculate the interest and add it to the loan amount.

The formula to calculate simple interest is:

Interest = (Loan Amount) x (Interest Rate) x (Loan Length)

Let's plug in the values given:

Loan Amount = $25,000

Interest Rate = 6.5% (or 0.065 as a decimal)

Loan Length = 4 years

Interest = $25,000 x 0.065 x 4 = $6,500

Now, let's calculate the total amount Mario will pay:

Total Amount = Loan Amount + Interest = $25,000 + $6,500 = $31,500

Therefore, the total amount Mario will pay, including the loan amount and interest, for the First Bank of Trust loan is $31,500.

Answer:

2x+6

Step-by-step explanation:

tax will be = 50 x 5% = $2.5

Answer: A: It will cost $936.00 to carpet the floor.

B: It will cost $297.00 to wallpaper all four walls.

C: It will cost $33.25 to paint the ceiling.

D: The cost of the entire project will be $1266.25.

Step-by-step explanation:

To calculate the costs for carpeting, wallpapering, painting, and the overall cost of the project, we need to determine the areas that need to be covered and the corresponding prices for each material.

Given dimensions:

Room length: 26 feet

Room width: 18 feet

Room height: 9 feet

Door dimensions:

Height: 6 feet 6 inches

Width: 4 feet

Window dimensions (each):

Width: 2 feet

Height: 2 feet 6 inches

A: Carpeting the floor:

To find the area of the floor, we multiply the length and width of the room:

Floor area = Length × Width = 26 feet × 18 feet = 468 square feet.

To convert to square yards (since the carpet is sold per square yard), we divide by 9:

Floor area in square yards = 468 square feet / 9 = 52 square yards.

Cost to carpet the floor = Floor area in square yards × Cost per square yard = 52 square yards × $18.00 = $936.00.

B: Wallpapering the walls:

To find the area of the walls, we calculate the perimeter of the room (2 × (Length + Width)) and multiply it by the height of the room:

Wall area = Perimeter × Height = 2 × (26 feet + 18 feet) × 9 feet = 396 square feet.

Cost to wallpaper the walls = Wall area × Cost per square foot = 396 square feet × $0.75 = $297.00.

C: Painting the ceiling:

To find the area of the ceiling, we multiply the length and width of the room:

Ceiling area = Length × Width = 26 feet × 18 feet = 468 square feet.

Since a quart of paint covers 88 square feet, we need to determine the number of quarts required:

Number of quarts = Ceiling area / Coverage per quart = 468 square feet / 88 square feet = 5.32 quarts.

Since a gallon contains 4 quarts, the number of gallons required is 5.32 quarts / 4 quarts = 1.33 gallons.

Cost to paint the ceiling = Number of gallons × Cost per gallon = 1.33 gallons × $25.00 = $33.25.

D: Cost of the entire project:

Total cost = Cost to carpet the floor + Cost to wallpaper the walls + Cost to paint the ceiling

= $936.00 + $297.00 + $33.25 = $1266.25.

Therefore:

A: It will cost $936.00 to carpet the floor.

B: It will cost $297.00 to wallpaper all four walls.

C: It will cost $33.25 to paint the ceiling.

D: The cost of the entire project will be $1266.25.

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A loss of biodiversity due to human activity.

Answer:

C. A loss of biodiversity due to human activity

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

she only has $60 to spend therefore, she has the option of spending all of it, or less. However she cannot spend money she doesn't have.

Answer:

I think it's B

Step-by-step explanation:

(So far she has spent $45.95, plus the extra gift, and that has to equal less than or equal to $60) =

45.95 + extra gift (x) ≤ 60