In the figure, CA and CE are opposite rays, CH bisects

Which of the following are linear pairs involving point F? Select all that apply.

last choices are
e) f)
pls help im crying

Answer:5.50 & $6

Step-by-step explanation:

Each bag of popcorn is $5.50 and the drink is $6.

Liam went into a movie theater and bought 9 bags of popcorn and 8 drinks costing a total of $97.50. This will be:

9p + 8d = 97.50

Jacob went into the same movie theater and bought 5 bags of popcorn and 4 drinks, costing a total of $51.50. This will be:

5p + 4d = 51.50

where P = popcorn

d = drink

The equations will be:

9p + 8d = 97.50

5p + 4d = 51.50

Multiply equation i by 5

Multiply equation ii by 9

45p + 40d = 487.50

45p + 36d = 463.50

Subtract

4d = 24

Divide.

d = 24/4

d = 6

Drink = $6

Since 9p + 8d = 97.50

9p + 8(6) = 97.50

9p + 48 = 97.50

9p = 97.50 - 48

p = $5.50

Popcorn cost $5.50.

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General equation of line:

Where,

Slope of line is -2 then:

Equation of line is y=-2x+5

The expression given as [x²+ 5x + 4]/[x² + 8x + 16] - [x² - 3x - 4]/[x²-16] simplifies to 0

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

[x²+ 5x + 4]/[x² + 8x + 16] - [x² - 3x - 4]/[x²-16]

Factorize the expression

So, we have

[x²+ 5x + 4]/[x² + 8x + 16] - [x² - 3x - 4]/[x²-16] = [(x + 4)(x + 1)]/[(x + 4)(x + 4)] - [(x - 4)(x + 1)]/[(x + 4)(x - 4)]

Simplify the common factors

So, we have

[x²+ 5x + 4]/[x² + 8x + 16] - [x² - 3x - 4]/[x²-16] = [(x + 1)]/[(x + 4)] - [(x + 1)]/[(x + 4)]

The terms of the above equation are the same

So, the result of subtracting one from the other is 0

This gives

[x²+ 5x + 4]/[x² + 8x + 16] - [x² - 3x - 4]/[x²-16] = 0

Hence, the value of the expression is 0

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[tex] \sqrt{25} [/tex] ()

what's the square root ​?

√25 = 5

because 5*5= 25

________________________

Answer

√25 = 5

We are given the following two functions

Recall that the rule for reflection over the y-axis is given by

As you can see, the graph of g(x) will be a reflection over the y-axis of the graph f(x).

Recall that the rule for vertical translation (upward) is given by

The above translation will shift the graph vertically upward by d units.

For the given case, d = 1

As you can see, the graph of g(x) will be a vertical translation of the graph f(x)

Therefore, we can conclude that the graph of g(x) will be a reflection over the y-axis and a vertical translation of the graph f(x).

1st option is the correct answer.

First, let's find the measure of the third side, using the law of cosine:

Now, let's use Heron's formula to calculate the area:

Let's begin by listing out the information given to us:

To know which is greater between 0.123 To know which i3& 0.68, let's express it in tenth, hundredth & thousandth

0.123 has 3 decimal places, which means it is 123/1000

0.68 has 2 decimal places, which means it is 68/100

When you multiply by 100, we have:

0.123 * 100 = 12.3

0.68 * 100 = 68

It becomes very evident that 0.68 is greater than 0.123

In order to add these two numbers, we need to add the algarisms that are in the same position.

Since the first number has 7 zeros and the second one has 8 zeros, the numbers 2 and 3 will not be added, since they are in different positions (the number 3 has more "value", since it's in a higher position).

So, adding these two numbers, we have:

Therefore the result of this sum is 320,000,000 (three hundred and twenty million).

a = 1/2bh, solve for b

that means -----> isolate the variable b

so

therefore

the answer is

Answer: Maximum height reached is 804.88 m

Step-by-step explanation:

At maximum height velocity is zero

We have equation of motion v² = u² + 2as

    Initial velocity, u = 320 ft/s = 97.536 m/s

    Final velocity, v = 0 m/s    

    Acceleration, a = -9.81 m/s²

    Substituting

                     v² = u² + 2as

                     0² = 97.536² + 2 x  -9.81 x s

                     s = 484.88 m

   So the arrow further a height of 484.88 m

Total height = 320 + 484.88 = 804.88 m

Answer:

x=7, DF = 174

Step-by-step explanation:

18x-39=9x+24

9x=63

x=7

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The answers of the given questions are:

Given: There are 6 teaspoons of garlic powder and 15 teaspoons of salt in a triple batch of spice mix.

Let x be the teaspoons of salt.

Salt used with 8 teaspoons of garlic powder:

6/15 = 8/x

x = 20

Therefore, 20 teaspoons of salt is used with 8 teaspoons of garlic powder.

6 + 15 = 21 teaspoons of  spice mix

Salt used in 14 teaspoons of spice mix:

21/15 = 14/x

x = 10 teaspoons of salt.

Therefore, if there are 14 teaspoons of spice mix, 10 teaspoons of salt is there in it.

If 6 teaspoons of garlic powder are used then,

21-6 = 15 teaspoons of more salt is used

Therefore, 15 teaspoons of more salt is there than garlic powder if 6 teaspoons of garlic powder are used.

The answers of the given questions are:

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The Solution:

Required:

To use the three theorems of similarity:

There are 3 theorems for proving triangle similarity:

AA Theorem

SAS Theorem

SSS Theorem

SAS Theorem

What happens if we only have side measurements, and the angle measures for each triangle are unknown? If we can show that all three sides of one triangle are proportional to the three sides of another triangle, then it follows logically that the angle measurements must also be the same.

SSS Theorem

Or what if we can demonstrate that two pairs of sides of one triangle are proportional to two pairs of sides of another triangle, and their included angles are congruent?

AA Theorem

As we saw with the AA similarity postulate, it’s not necessary for us to check every single angle and side in order to tell if two triangles are similar. Thanks to the triangle sum theorem, all we have to show is that two angles of one triangle are congruent to two angles of another triangle to show similar triangles.

The solution to the given inequality would be n ≤ 1/35 which is the correct answer would be an option (C).

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We have to determine the solution of the inequality n minus three-fifths is less than or equal to negative four sevenths for n.

As per the given condition, translate the phrase into an algebraic inequality as :

⇒ n - 3/5 ≤ - (4/7)

⇒ n ≤ 3/5 - (4/7)

⇒ n ≤ (21 - 20)/35

⇒ n ≤ 1/35

Therefore, the solution to the given inequality would be n ≤ 1/35.

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The given system of equations : 6x - y = 2 and 4x - y = -8.

6x - y = 2 ( 1 )

4x - y = -8 ( 2 )

for the value of y, use substitution method:

Solve the equation (1) for y :

6x - y = 2

y = 6x - 2

Susbtitute the value of y in the equation ( 2 )

4x - y = - 8

4x - (6x - 2) = - 8

4x - 6x + 2 = - 8

4x -6x = - 8 - 2

-2x = -10

Divide both side by ( -2)

-2x/(-2) = -10/(-2)

x = 5

Substitute x = 5 in the equation ( 1 )

6x - y = 2

6( 5 ) - y = 2

30 - y = 2

y = 30 - 2

y = 28

So, the value of y is 28

Answer : y = 28

If the volume of a rectangular prism with a height of 8 inches is 200 cubic inches and the base of the prism is a square, then the width of the rectangular prism is 5  inches

The volume of the rectangular prism = 200 cubic inches

The height of the rectangular prism = 8 inches

We know the volume of the rectangular prism = l×w×h

Where ls if the length of the base

w is the width of the base

h is the height of the rectangular prism

Given that the base of the prism is a square, then the length of the base is equal to width of the base

Consider

l = w = x

Substitute the values in the equation of volume

x × x × 8 = 200

[tex]x^{2}[/tex] × 8 = 200

[tex]x^{2}[/tex]  = 25

x = 5 inches

Hence, if the volume of a rectangular prism with a height of 8 inches is 200 cubic inches and the base of the prism is a square, then the width of the rectangular prism is 5 inches

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The equation is (x+1)²-4.

Here the graph is in the form parabola, where the parabola is basically a graph for a quadratic function which is a  curve in such an order that a point on it is equidistant from a fixed point called the focus of the parabola,  and a fixed line called the directrix of the parabola. The general formula for a parabola is: y = a(x-h)² + k , where (h,k) signifies the vertex whereas the standard equation of a  parabola is y² = 4ax.

For the given graph the vertex is  (h,k)=(-1,-4)

so the equation for the parabola  is

=>y= a(x+1)^²-4 .......1

Since we can see the parabola intercept  at the x-axis at point (1,0), putting those in the above equation :

=>0=a(1+1)^2-4

=>4=a(2)^2

=>a=1

So, substituting the value of an in equation 1, we get

=>y= (x+1)^2-4

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Answer: (40, 28)

Step-by-step explanation:

(42+(-2), 33+(-5))=

(42-2, 33-5)=(40, 28)

Given:

The length of the marathon is L= 46,145 yards.

The length covered by terrence is d = 23,561 yrads.

The objective is to find the remaining distance need to cover by terrence.

To calculate the remaining distance, we will use the relation,

On plugging the values in the above relation, we get,

Hence, Terrence needs to run about 23000 yards.

The equations of the parallel and perpendicular lines are y = −x−7 and y = x−13, respectively.

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Answer:

Step-by-step explanation:

Number of yellow marbles =13

Number of teal marbles  = 13

Two marbles are drawn randomly

Probability that both marbles are teal

Hence the probability that both marbles are teal is 0.026

For a 90 degrees counterclockwise rotation of a point, (x, y) about the origin, the new position would be (- y, x)

Thus,

For A', it becomes (- - 1, 1) = (1, 1)

For B', it becomes (- - 2, 4) = (2, 4)

For C', it becomes (- - 4, 2) = (4, 2)

We will investigate how to determine the amount of money Mark started off with at the beginning off the day.

We will assume and declare a variable to Mark's bank balance at the beginning off the day:

Then mark sets out for movies and gets himself snacks to enjoy along his movies. The total receipt charged for his excursion is:

After his day expenses he will be left with a closing balance for the day. The closing balance of the day is expressed as:

We are given that mark was left with $12. This means:

Using the expression above we can write:

We will solve the above expression for initial balance ( P ) as follows:

Therefore, the answer is:

Given:

The expression given is,

Required:

To find the coefficient of the third term.

Explanation:

Let us expand the expression to find the coefficient.

Hence, the coefficient of the third term is 40.

Final Answer:

The coefficient of the third term is 40.

Option A is correct.

The required sample size, using the z-distribution, is given as follows:

n = 253.

A confidence interval of proportions has the bounds given by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

The equation for the margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The confidence level is of 95%, hence the critical value z has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The estimate and the margin of error are given as follows:

[tex]\pi = 0.22, M = 0.015[/tex]

Hence the required sample size is calculated as follows:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.015 = 1.96\sqrt{\frac{0.015(0.985)}{n}}[/tex]

[tex]0.015\sqrt{n} = 1.96\sqrt{0.015(0.985)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.015(0.985)}}{0.015}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.015(0.985)}}{0.015}\right)^2[/tex]

n = 253. (rounding up, as a sample size of 252 would result in a margin of error slightly above 1.5%).

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sin theta = -0.5 degrees

cos theta=-0.86 degrees

hope it helped

To create the abbreviated expression, combine similar terms by adding them all together. If the expression be [tex]$\sqrt{112 x^{10} y^{13}}$[/tex] then expression exists [tex]$4 \sqrt{7} x^5 y^6 \sqrt{y}$[/tex].

Solving a math problem is the same thing as simplifying an expression. You basically strive to write an expression as simply as you can when you simplify it. In the conclusion, there shouldn't be any more multiplying, dividing, adding, or removing to do.

Start by recognizing the like terms, or terms with the same variables and exponents, in algebraic formulas. Then, to create the abbreviated expression, combine similar terms by adding them all together.

Let the expression be [tex]$\sqrt{112 x^{10} y^{13}}$[/tex]

separating the roots of the expression, we get

[tex]$\sqrt{112 x^{10} y^{13}}=\sqrt{112} \sqrt{x^{10}} \sqrt{y^{13}}$[/tex]

simplifying the above equation, we get

[tex]$=\sqrt{112} \sqrt{x^{10}} \sqrt{y^{13}}$[/tex]

Simplify [tex]$\sqrt{x^{10}}= x^5$[/tex]

[tex]$=\sqrt{112} x^5 \sqrt{y^{13}}$[/tex]

Simplify [tex]$\sqrt{y^{13}}=y^6 \sqrt{y}$[/tex]

[tex]$=\sqrt{112} x^5 y^6 \sqrt{y}$[/tex]

[tex]$=\sqrt{112}=4 \sqrt{7}$[/tex]

[tex]$=4 \sqrt{7} x^5 y^6 \sqrt{y}$[/tex]

Therefore, the correct answer is [tex]$4 \sqrt{7} x^5 y^6 \sqrt{y}$[/tex].

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Given:

To Determine: The standard form equation of an ellipse

Solution