Quadrilateral EFGH is inscribed inside a circle as shown below. Write a proof showing that angles H and F are supplementary.

Answer:

Step-by-step explanation:

there are 10 milliliters and 1 liter

Answers:

Slope intercept equation is y = -4x - 17

The point (-6, 7) is on the graph of the line.

====================================================

Explanation:

Let's solve for y

y - 7 = -4(x+6)

y - 7 = -4x - 24

y = -4x - 24 + 7

y = -4x - 17

It is now in slope intercept form y = mx+b

m = -4 = slope

b = -17 = y intercept

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Compare the equation y - 7 = -4(x+6) with the point-slope form of y-y1 = m(x-x1)

The (x1,y1) is a point the line goes through.

Rewriting x+6 into x-(-6) has us get y - 7 = -4(x-(-6))

We can see that x1 = -6 and y1 = 7

Therefore, the point (x1,y1) = (-6,7) is on the line.

We may determine the value of candy costs by solving a linear equation in which the answer is given as

x = $4.00.

We are aware that a shop owner blends two pounds of candy priced at x dollars per pound with three pounds of candy priced at $1.50 per pound. She asks $2.50 for the mixture.

Since the entire cost at the start must equal the total cost at the end, we can express the equation as 2lb + 3lb = 5lb.

2*x + 3*$1.50 = 5*$2.50

This linear equation for x may now be solved:

2*x = 5*$2.50 - 3*$1.50 = $8.00

x = $8.00/2 = $4.00

The sweet has a $4 price tag.

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The side x = 104 unit and angle y = 74 °

A quadrilateral is referred to as a parallelogram in geometry.

The opposite sides of a parallelogram are parallel and of equal length.

Rhombus, rectangle, and square are a few instances of parallelograms.

The special properties of a parallelogram is that the two opposing sides are both equal and parallel. Also the opposite angles are equal. And the angles inside the parallelogram on the same side , their sum is 180 degrees .

Given : A parallelogram ABCD.

Now in a parallelogram opposite sides are both equal and parallel.

So in this parallelogram ;

97 = x - 7

⇒ x = 97 + 7

⇒ x = 104 .

Also opposite angles of a parallelogram are equal.

⇒ y = 74 °

Thus the required solution is x= 104 degree and y= 74 degrees

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Answer:

  4.  (d)

  5.  (b)

Step-by-step explanation:

You want to apply the secant and chord rules to the circles given in the diagram.

The secant rule is "the product of distances from the point of intersection of secants to the two points of intersection of the secant with the circle is the same for both secants." A tangent can be considered to be a secant that has both points of intersection with the circle in the same place.

The chord rule is similar to the secant rule: "The product of distances from the point of intersection of the chords to their intersection with the circle is the same for both chords."

The diagram shows a tangent of length 12, so the product of distances to the two points of intersection with the circle is 12(12).

The secant has length 8 to the near point of intersection, and (x+8) to the far point of intersection. That product is the same as for the tangent:

  8(x +8) = 12(12) . . . . . . matches choice D

One chord has lengths of 14 and x, so the product of those is 14x.

The other chord has lengths of 12 and 21, so the product of those is 12(21).

The product is the same for both chords, meaning ...

  14x = 12(21) . . . . . . matches choice B

__

Additional comment

We have purposely tried to write the rules in "parallel" fashion, because we find them easier to remember that way. Considering a tangent to be a secant with the points of intersection with the circle merged means the same rule can be used for all three cases:

Answer: True, It it the same as any other function, it just has more numbers than a two number function

Step-by-step explanation:

The rate of change of what the cab company  charges is; $3.3 per mile

The rate of change is simply the slope of the graph which is the change in y-values per change in corresponding x-values. Thus;

Rate of change here is;

Slope = (y₂ - y₁)/(x₂ - x₁)

We are told that the cab company charges a one time pick up fee of $2 for every ride as well as a $1.10 charge for each mile travelled.

Thus;

Base fee = $2

Rate of change = 2 + 1.1

Rate of change = $3.3 per mile

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Answer:

23 miles is 37 kilometers

The value of x = [tex]\frac{2b-5d}{3c}[/tex] .

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.

The given equation is

[tex]5d^{3}=d^{2}(2b-3cx)[/tex]

5[tex]d^{3}= d^{2}2b-3cd^{2}x[/tex]

3c[tex]d^{2}x = d^{2}2b-5d^{3}[/tex]

x = [tex]\frac{d^{2}(2b-5d) }{3cd^{2} }[/tex]

x = [tex]\frac{2b-5d}{3c}[/tex]

Hence, The value of x = [tex]\frac{2b-5d}{3c}[/tex] .

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The US GDP for the first quarter of 2020 was 21.54 trillion dollars, and the US GDP for the second quarter of 2020 was 19.49 trillion dollars.

The personal consumption expenditures for the first quarter of 2020 are 13.02 trillion dollars.

the personal consumption expenditures for the second quarter of 2020 are 11.82 trillion dollars.

What are the personal consumption expenditures?

Personal consumption expenditures are the price that citizens of the US pay for goods and services. This is a crucial index that indicates inflation or deflation and consumer behavior over some time.

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Answer:

A,  n = (8 - 7p)/m.

Step-by-step explanation:

mn + 7p = 8

mn = 8 - 7p

n = (8 - 7p)/m.

Answer:

Step-by-step explanation:

Given:

Required:

We need to find f(b).

Explanation:

Replace x =b in the given equation to find the value of f(b).

Final answer:

For a linear equation the solutions are on the line, while for inequalities the solutions are above or below the line (sometimes the line is also included).

When we have a linear equation of the form:

y = line

The solutions on the graph of this equation are the points on the line.

Now, for inequalities like:

y > line

or

y < line.

The solutions are all the points above (or below) the line itself.

Finally, for inequalities like:

y ≥ line

y ≤ line

The solutions are above (below) the line and the line itself.

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Answer:

Inverse Function = 4x -8

Step-by-step explanation:

replace x with y and replace x with y

solve for y (meaning isolate y)

y=(1/4x) +2

x= (1/4y) +2

x-2 = 1/4y

multiply by 4 on each side to remove 1/4 from the right side

4(x-2) = y

y= 4(x-2)

y= 4x -8

Inverse Function = 4x -8

Answer:

-4/5

Step-by-step explanation:

2/3 * -6/5  = -4/5

:]

Answer:

[tex]\frac{41}{100}[/tex]

Step-by-step explanation:

It cannot be simplified.

Ex: 50% can be simplified to [tex]\frac{1}{2}[/tex]

y=-1/3-4

Step-by-step explanation:

point slope form!

y-y=m(x-x)

with the point (-6,-2) and the slope (-1/3) replace the 2nd variables of each variable and replace m with the slope

y-(-2)=-1/3(x-(-6))

then solve that normally

y-(-2)=-1/3(x-(-6))

y+2=-1/3x -2

y=-1/3x-4

I didnt use officially math symbols but i hope you can still read it!

(x - 2)² = 25

24 = x² - 4x + 3

rewritting:

x² - 4x = 24 - 3

x² - 4x = 21

using the completing the square:

coefficient of x = -4

square half the coefficient of x = (-4/2)² = (-2)²

Add the square half the cofficient of x to both sides of the equation

x² - 4x + (-2)² = 21 + (-2)²

taking out -4x:

(x - 2)² = 21 + 4

(x - 2)² = 25

The equation above is in the form (x + c)^2 = d or (x – c)^2 = d

The equation of the graph after the translation is h(x)=f(x)+6

The process of transforming an equation or existing graph into a new graph is known as graph translation.

Since the graph for h(x) has moved to the left by 6 units as we can see in the graph. Hence the co-ordinates will also change by 6 units . hence the graph is translated to the left by 6 units.

Therefore the equation after the translation is given by h(x)=f(x)+6 .

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The unit price per ounce at Price-Club is $0.29 per ounce and the unit price per ounce at Shop Mart is $0.21 per ounce.

The unit price can be determined by dividing the total cost by the total ounce that is purchased.

Division is the process of putting a number into  equal groups using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations. The result of the division process is known as the quotient. Other mathematical operations include addition, subtraction and multiplication.

Unit price = total cost / total ounce sold

Unit price of Price-Club = $3.44 / 12 = $0.29 per ounce

In order to determine the unit price of Shop Mart, pounds have to be converted to ounces

1 pound = 16 ounces

To convert 2 1/2 pounds to ounces, multiply 2 1/2 by 16. Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

16 x 2 1/2

16 x 5/2 = 40 ounces

Unit price of Shop Mart = $8.35 ÷ 40 = $0.21 per ounce

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The value of x is 4.

When two parallel lines are intersected by a transversal, the exterior angles created on either side of the transversal are equal, according to the alternate exterior angle theorem.

The given angles are 2x + 19° and x + 23°.

As these pair of angles are created on the outer side of the parallel lines but on the other side of the transversal, they are alternate exterior angles.

Using the Alternate Exterior Angles Theorem,

2x + 19° = x + 23°

2x - x = 23° - 19°

x = 4

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-15° = C is  a given temperature in degrees Fahrenheit by finding the function's.

What is the purpose of Fahrenheit?

we have a value for F, and so we use that to find C. Insert F's value into the equation:

5 = 9/5 C + 32

Subtract 32 from both sides:

5 - 32 = 9/5 C + 32 - 32

-27 =  9/5 C

Now we multiply both sides by 5/9

-27 *  5/9 = 9/5 C  5/9

-27 is divisible by 9:

-3 * 5 = C

-15° = C

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Answer:

1. Inverse

2. 5/9 and 160/9

3. All of them

Step-by-step explanation:

The equation of the scatter plot is y = 5/3x + 2 and the tree will be 18.7 feet in ten years

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The information that completes the question is added as an attachment

From the scatter plot, we have the following points

(x, y) = (0, 2) and (6, 12)

The equation of the line is calculated as

y = (y2 - y1)/(x2 - x1) * (x - x1) + y1

Substitute the known values in the above equation

So, we have

y = (12 - 2)/(6 - 0) * (x - 0) + 2

So, we have

y = 5/3x + 2

In ten years, the value of x is

x = 10

So, we have

y = 5/3 x 10 + 2

Evaluate

y = 18.7

Hence, the height of the tree is 18.7 feet

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Answer:

[tex]\textsf{When the \boxed{\sf numerator} of a fraction is equal to \boxed{0} the value of the fraction is 0.}[/tex]

Step-by-step explanation:

Fraction

[tex]\boxed{\large\begin{array}{ccl}1 & \leftarrow & \sf numerator\\\cline{1-1}2 & \leftarrow & \sf denominator \\\end{array}}[/tex]

The numerator of a fraction is the number (or expression) above the fraction bar.

The denominator of a fraction is the number (or expression) below the fraction bar.

[tex]\large{\boxed{\dfrac{n}{0}=\textsf{und\:\!efined} \quad \quad \dfrac{0}{n}=0}[/tex]

If a number (or expression) is divided by zero, the quotient is undefined.

If zero is divided by a number or expression, the quotient is zero.

Therefore:

[tex]\textsf{When the \boxed{\sf numerator} of a fraction is equal to \boxed{0} the value of the fraction is 0.}[/tex]

Answer:

39 dollars

Step-by-step explanation: 20 perrcent of 52

The cost of each lemon meringue pie is $7.5 and the cost of each blueberry pie is $4.5.

Given that, Estelle and Carlos will be hosting a party and will buy 6 pies for their guests.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the cost of lemon meringue pies be L and the cost of blueberry pies be B.

Now, 2L = 4B - 3 and 3L= 3B + 9

Multiply the equation 2L = 4B - 3 by 3

6L = 12B - 9 --------(I)

Multiply the equation 3L= 3B + 9 by -2

-6L = -6B - 18 --------(II)

Add equation (I) and (II)

6L+(-6L) = 12B - 9 + (-6B-18)

⇒ 0 = 6B - 27

⇒ 6B = 27

⇒ B = $4.5

So, cost of lemon meringue = 2L = 4×4.5 - 3

⇒ 2L = 18 - 3

⇒ 2L = 15

⇒ L = $7.5

Therefore, the cost of each lemon meringue pie is $7.5 and the cost of each blueberry pie is $4.5.

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The intersection's two opposing corners are 91.40 feet apart.

Since the given data are:

Width of the Hillsboro Street = 73 feet

Width of Manchester Avenue = 55 feet

When Hillsboro Street and Manchester Avenue cross, calculate the distance between the intersection's two opposing corners,

Because the junction of Hillsboro Street and Manchester Avenue created a right-angled triangle:

Using Pythagoras's Theorem,

H² = B² + P²

H² = (55)² + (73)²

H² = 3025 + 5329

H² = 8354

H = √8354

H = 91.40

As a result, the distance between the intersection's two opposing corners is 91.40 feet.

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architecture, invest money so that I can pay fr fees

With 350 gram of ingredients Hamza can make 3.36 wich is equivalent to 3 biscuits or [tex]3\frac{9}{25}[/tex] biscuits.

Given : To make 12 biscuits Hamza needs ;  375g of butter

200 g of sugar and 675g of flour .

thus the total amount of ingredients = 375 + 200 + 675

= 1,250 g

Thus to make 12 biscuits 1250 g is required.

By using unitary method we get :

1g will make 0.0096 biscuits

However to work out the greatest number of biscuits with 125 g of butter

50g of sugar and 175g of flour

will be 125 + 50 + 175 = 350 g

Thus 350 g can make 0.0096 × 350 = 3.36 biscuits ≈ 3 biscuits.

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