Which choice is equivalent to the fraction below when x is an appropriate
value? Hint: Rationalize the denominator and simplify.
2
2-√6x
A.
2+√6x
2-6x
B. 2+√6x
4-3x
C. 2+√6x
2-3x
D. 2+√6x
4-6x

Which Choice Is Equivalent To The Fraction Below When X Is An Appropriatevalue? Hint: Rationalize The

Answers

Answer 1

A fraction is a way to describe a part of a whole. The correct option is C.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The choice that is equivalent to the fraction  can be found by rationalizing the denominator of the fraction. Therefore, we can write,

[tex]\dfrac{2}{2-\sqrt{6x}}\\\\\\=\dfrac{2}{2-\sqrt{6x}} \times \dfrac{2+\sqrt{6x}}{2+\sqrt{6x}}\\\\\\= \dfrac{4+2\sqrt{6x}}{4-6x}\\\\\\=\dfrac{2(2+\sqrt{6x})}{2(2-3x)}\\\\\\= \dfrac{2+\sqrt{6x}}{2-3x}[/tex]

Hence, the correct option is C.

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Related Questions

What is the value of y in the equation 2(2y - 12) = 0?
04
06
07
08

Answers

Hey there!


2(2y - 12) = 0
2(2y) + 2(-12) = 0

4y - 24 = 0

ADD 24 to BOTH SIDES

4y - 24 + 24 = 0 + 24

SIMPLIFY IT!

4y = 0 + 24

4y = 24

4y/4 = 24/4

SIMPLIFY IT!

y = 24/4

y = 6


Therefore, your answer should be:

y = 06 (Option B.)


Good luck on your assignment and enjoy your day!


~Amphitrite1040:)

Answer:

y=6 (06) should be your answer

Step-by-step explanation:

4y-24=0

After you simply the first equation in the parenthesis, you then move the 24 to the 0,

4y=24

The answer becomes positive 24 because when you move things across the equal sign you switch the sign

y=6

Then divide 24 by 4 to isolate y, which then gives you the answer 6.


A carton of one dozen eggs costs $1.92. What is the unit price of each egg?

Answers

Answer:

$0.16

Step-by-step explanation:

unit price = price of carton / number of eggs

unit price = $1.92/12

unit price = $0.16

4. John has his money in a savings
account that earns 3% interest each
year. He never takes money out of the
account. The value of his account is
described by the function
Dollars (years), or D(y).
Is D(2) < D(7) true or false?

Answers

Answer:

false

Step-by-step explanation:

so D(2) is equal to how much money he has after 2 years while D(7) is after 7 years. since he earns 3% interest each year he will have more money after 7 years than 2 years

A Baker Had 1/3 Cups Of Suger . he Added 1/9 Cups To It Find The Total Number Of Sugar . ( Can Someone Help Me Out)

Answers

The total number of sugar will be 9/4.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A Baker Had 1/3 Cups Of Sugar.

he Added 1/9 Cups To It

Let the number of sugar be x

x (1/3)  + 1/9x = 1

3x + 1x = 9

4x = 9

x = 9/4

Hence, the total number of sugar will be 9/4.

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In the equation 17x2 = 12x, the value of c is:
17
12
0

Answers

Answer: 0

Detailed Explanation:

General Form of a Quadratic Equation :-

=> ax^2 + bx + c = 0

a = Coefficient of x^2
b = Coefficient of x
c = Constant Term

In the Given Equation :-

17x^2 = 12x
17x^2 - 12x = 0
=> 17x^2 - 12x + 0 = 0

Therefore,
a = 17
b = -12
c = 0

Hence, value of ‘c’ = 0

100 Points to whoever answers

The graph below shows a company's profit f(x), in dollars, depending on the price of pencils x, in dollars, sold by the company:

Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?

Part B: What is an approximate average rate of change of the graph from x = 2 to x = 5, and what does this rate represent?

Part C: Describe the constraints of the domain.

Answers

The average rate of the change from x = 2 to x = 5 is about 20 , The domain is constrained at x =0

What is a Function ?

A function is a mathematical statement used to derive a relation between a dependent variable and an independent variable.

A) The vertical axis of the graph shows a company's profit f(x), in dollars, depending on the price of pencils x, in dollars, sold by the company , i.e is the x axis .

So the x-intercepts represent prices of the pencil at which the profit is 0

and The maximum value of the graph represents the maximum profit that can be obtained for any price of the pencil.

The Profit is increasing from (x = 0 to 5) and starts decreasing from x =5 to 10

B) From the graph

(f(5) -f(2))/(5 -2) = (160-100)/3  = 20

The average rate of the change from x = 2 to x = 5 is about 20.

This indicates that the profit will increase at a an average rate of $20 for each $1 increase in price in that interval.

(C)The domain is constrained at x =0 as there it cannot be concluded that if the price is 0 , the profit will be 0 , and we are obligated to sell the pencil at x =6 , as the maximum profits are booked at that point.

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Please help, I have been trying for a while :(

question on photo​

Answers

Answer:

[tex]\frac{x-22}{(x+2)(x-4)}[/tex]

Step-by-step explanation:

multiply the numerator/denominator of the first fraction by (x - 4)

multiply the numerator/denominator of the second fraction by (x + 2)

this ensures that the fractions have a common denominator

[tex]\frac{4}{x+2}[/tex] - [tex]\frac{3}{x-4}[/tex]

= [tex]\frac{4(x-4)}{(x+2)(x-4)}[/tex] - [tex]\frac{3(x+2)}{(x+2)(x-4)}[/tex] ← subtract numerators leaving the common denominator

= [tex]\frac{4x-16-3x-6}{(x+2)(x-4)}[/tex]

=[tex]\frac{x-22}{(x+2)(x-4)}[/tex]

(Giving 40 points and brainly if correct!)
If OP=17 and QP=6, what is OQ? First, complete the Segment Addition Postulate for this problem.

OQ+QP= ?

Answers

In the given diagram, the length of OQ is 11

Calculating the length of a line segment

From the question, we are to determine the length of OQ

From the given information,

OP = 17

QP = 6

In the diagram, we can observe that

OQ + QP = OP

∴ OQ + 6 = 17

Subtract 6 from both sides

OQ + 6 - 6 = 17 - 6

OQ = 11

Hence, the length of OQ is 11

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[tex]\huge \boxed{\sf 11}\\\\\\\displaystyle \sf OP=OQ+QP\\\\OQ=OP-QP\\\\OQ=17-6\\\\OQ=11[/tex]

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?



How far would Pete walk if he went from A to B to C? yards

The direct distance from A to C is more than yards.

The inequality w < represents the distance, w, that Pete might save by taking the direct path.

Answers

The total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards.

Total distance if Pete walks from A to B to C:

= 15 + 25 = 40 yards

As we know in the triangle the sum of the two sides is greater than the third side.

25 + 15 > AC

40 > AC

or

AC < 40

The direct distance from A to C is more than 10(25-15) yards.

The inequality w < 30 represents the distance, w, that Pete might save by taking the direct path.

Thus, the total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

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Answer:

40, 10, 30
see picture

Step-by-step explanation:

Again, simple questions! asap help please!
15 points!

Answers

Answer:

3) r = 1.5

7) y = 18

11) x = -10

Step-by-step explanation:

3) Isolate the variable by dividing each side by factors that don't contain the variable.

7) Solve for y by simplifying both sides of the equation, then isolating the variable.

11) Move all terms that don't contain x to the right side and solve.

helooooooo
bnbdnndnmfmfnfncncncncnncnc.... ​

Answers

Answer: I dont really understand your questions

Step-by-step explanation: find the solution to your problem

What is The Value Of X

Answers

Answer:

X = 92 degrees

Step-by-step explanation:

the angles of a triangle all add up to 180 degrees, so 40 plus 180-132 = 88

180-88= 92 so X = 92

Which rule describes the composition of transformations that maps δjkl to δj"k"l"? 90 degree rotation about point 0 composition translation of 0 units x, negative 2 units y translation of 0 units x, negative 2 units y composition 90 degree rotation about point 0 90 degree rotation about point 0 composition translation of negative 2 units x, 0 units y translation of negative 2 units x, 0 units y composition 90 degree rotation about point 0

Answers

Triangle JKL was rotated 90 degrees about the origin and translated 2 units left to form triangle J"K"L"

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.

Triangle JKL was rotated 90 degrees about the origin and translated 2 units left to form triangle J"K"L"

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Answer:

Its actually D

Step-by-step explanation:

The graph of the function f(x) = –(x + 3)(x – 1) is shown below.

On a coordinate plane, a parabola opens down. It goes through (negative 3, 0), has a vertex at (negative 1, 4), and goes through (1, 0).

Which statement about the function is true?

The function is positive for all real values of x where
x < –1.
The function is negative for all real values of x where
x < –3 and where x > 1.
The function is positive for all real values of x where
x > 0.
The function is negative for all real values of x where
x < –3 or x > –1.

Answers

Answer:

The second statement is true.

Step-by-step explanation:

Draw the corresponding parabola and use it to verify  all statements.

Answer:

The function is negative for all real values of x where

x < –3 and where x > 1.

Step-by-step explanation:

The answer above is correct.

Prove that for all integers n ≥ 3, n+1P3 −n P3 = 3 · n P2

Answers

The permutation equation [tex]^{n+1}P_3 - ^nP_3= 3 * ^nP_2[/tex] is true for all integers n ≥ 3

How to prove the equation?

We have:

[tex]^{n+1}P_3 - ^nP_3= 3 * ^nP_2[/tex]

Apply the following permutation formula

[tex]^{n}P_r = \frac{n!}{(n- r)!}[/tex]

So, we have:

[tex]\frac{(n + 1)!}{(n + 1 - 3)!} - \frac{n!}{(n - 3)!} = 3 * \frac{n!}{(n - 2)!}[/tex]

Evaluate the difference

[tex]\frac{(n + 1)!}{(n - 2)!} - \frac{n!}{(n - 3)!} = 3 * \frac{n!}{(n - 2)!}[/tex]

Expand

[tex]\frac{(n + 1)!}{(n - 2)(n - 3)!} - \frac{n!}{(n - 3)!} = 3 * \frac{n!}{(n - 2)(n - 3)!}[/tex]

Multiply through by (n - 3)!

[tex]\frac{(n + 1)!}{(n - 2)} - n! = 3 * \frac{n!}{(n - 2)}[/tex]

Expand

[tex]\frac{(n + 1) * n!}{(n - 2)} - n! = 3 * \frac{n!}{(n - 2)}[/tex]

Divide through by n!

[tex]\frac{(n + 1)}{(n - 2)} - 1 = \frac{3}{(n - 2)}[/tex]

Take the LCM

[tex]\frac{n + 1 - n + 2}{(n - 2)} = \frac{3}{(n - 2)}[/tex]

Evaluate the like terms

[tex]\frac{3}{(n - 2)} = \frac{3}{(n - 2)}[/tex]

Both sides of the equations are the same.

Hence, the permutation equation [tex]^{n+1}P_3 - ^nP_3= 3 * ^nP_2[/tex] is true for all integers n ≥ 3

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What is the factored form of 6n⁴ - 24n³ + 18n?
a.6n(n⁴+4n³+3n)
b.6n[n⁴ -4n³ +3n]
c.6n(n³-4n²+3)
d. 6n(n³ +4n²+3)​

Answers

Answer:

answer is option C

Step-by-step explanation:

just take 6n as common and divine each value by it

The factored form of expression 6n⁴ - 24n³ + 18n is

6n (n² - 2n + 1) (n² - 2n + 3).

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

First, we can factor out the greatest common factor of the expression, which is 6n:

6n(n³ - 4n² + 3n)

Next, we can factor the expression inside the parentheses by grouping:

n³ - 4n² + 3n = n²(n-4) + 3(n-4) = (n²+3)(n-4)

Substituting this back into the original expression.

6n (n² + 3) (n - 4)

However, we can further simplify by noticing that the expressions

(n² - 2n + 1) and (n² - 2n + 3) are both equivalent to (n - 1)² + 1 and (n - 1)² + 2, respectively.

Thus,

The factored form can also be written as 6n [ (n - 1)² + 1 ] [ (n - 1)² + 2 ]

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Un cartero reparte 10.700 cartas al mes. estimar cunats cartas reparte en un semestre

Answers

Teniendo en cuenta la regla de tres simple, el cartero reparte 64.200 cartas en un semestre.

Regla de tres

La regla de tres es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y un valor desconocido, estableciendo una relación de proporcionalidad entre todos ellos.

Es decir, lo que se pretende con ella es encontrar el cuarto término de una proporción conociendo los otros tres.

Si la relación entre las magnitudes es directa, es decir, cuando una magnitud aumenta, la otra también (o cuando una magnitud disminuye, la otra también), se debe aplicar la regla de tres directa.

Para resolver una regla de tres directa se debe seguir la siguiente fórmula, siendo a, b y c datos conocidos y x la variable a calcular:

a ⇒ b

c ⇒ x

Entonces: [tex]x=\frac{cxb}{a}[/tex]

Cartas repartidas en un semestre

En este caso, se puede aplicar la regla de tres de la siguiente manera: Entonces, si el cartero en un mes reparte 10.700 cartas, ¿en 6 meses (un semestre) reparte cuántas cartas?

1 mes ⇒ 10.700 cartas

6 meses ⇒ ×

Entonces: [tex]cantidad de cartas=\frac{6 mesesx10.700 cartas}{1 mes}[/tex]

Resolviendo:

cantidad de cartas= 64.200 cartas

En resumen, el cartero reparte 64.200 cartas en un semestre.

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I REALLY NEED HELP!!

Answers

Based on the calculations on these invertible functions, f⁻¹(f(6.022)) is equal to 6.022 and f⁻¹(-10) + f(-6) is equal to -16.

What is an invertible function?

An invertible function refers to a type of function that is obtained by reversing the operation of a given function (f(x)).

In Mathematics, a function and its inverse function has the following property f⁻¹(f(x)) = x. By applying this property, we have:

f⁻¹(f(6.022)) = 6.022.

From the table, we have:

f⁻¹(-10) = -6

f(-6) = -10

Therefore, f⁻¹(-10) + f(-6) is given by:

f⁻¹(-10) + f(-6) = -6 - 10

f⁻¹(-10) + f(-6) = -16.

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The probability distribution for a
random variable x is given in the table.
-10
-5
15
20
Probability
.20
15
.05
.15
Find the probability that x ≥ 5

Answers

Answer:

Step-by-step explanation:

Comment

There is only 1 number under probability that is greater than or equal to 5. That number is 15

There are 4 possible answers. Only 1 is successful.

Answer: P(y≥5) = 1/4 or 0.25

What trigonometric ratio would you use to find the distance from the base of the tower of your keys ? Identify your choice, then calculate the distance

Answers

The choice is tangent rule and the distance from the base to the tower is 3. 98 meters

How to determine the distance

The trigonometric ratio to use is

tan α = opposite side/ adjacent side

This is so because the angle 86° is facing the side of the distance from the top to the base

The choice is tangent rule

adjacent  = x

Angle = 86°

Opposite side = 57

We have

tan 86° = 57/x

14. 300= 57/x

x = 57 ÷ 14.300

x = 3.98meters

Thus, the choice is tangent rule and the distance from the base to the tower is 3. 98 meters

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Reflection across X=1

Answers

It should be noted that a reflection is known as a flip and it's a mirror image of the shape.

How to illustrate the reflection?

An image will reflect through a line, known as the line of reflection.

Reflecting around x = 1 never touches the y coordinate, and the x coordinate transforms.

In other words, if a point were at x=π, it's distance to x=1 was π−1 so the new location is π−1 to the left of x=1.

The reflection is attached.

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simplify the equation ( 3(3) × 3 (4) ) ÷ 3 (2)​

Answers

Answer:

(3(3) × 3(4) ) ÷ 3(2)

(9 × 12) ÷ 6

108 ÷ 6

18

Answer: 18

Step-by-Step Solution:

= (3(3) * 3(4)) / 3(2)
= (9 * 3(4)) / 3(2)
= (9 * 12) / 3(2)
= (108) / 3(2)
= 108/6
=> 18

Find the nth term of
this quadratic sequence
4, 7, 12, 19, 28, … what is the nth term

Answers

Answer:

[tex]n {}^{2} + 3[/tex]

Can you answer this and explain it please! for 100 points

Answers

Answer:

D) -12

Step-by-step explanation:

[tex]3(x-4)+(2-x)-x^2[/tex]

Replace X With 5

[tex]3(5-4)+(2)(5)-5^2[/tex]

[tex]=-12[/tex]

I Hope This Helps

Please Mark Me As Brainliest :)

How many different committees
with 4 members can be formed
from a group of 8 people?

Answers

Answer:

70 is the right answer....

Answer:

70 ways

Step-by-step explanation:

8 C 4 =   8 ! / ( 4! * 4!) = 70 ways

Determine the measure of each indicated angle. Show all necessary steps!

Answers

a)

We know that a 4-sided polygon's angles add up to 360 degrees

so to find x:

360-(69+118+84)=89 degrees

b)

For a 4-sided polygon we also know that the outside angles add up to 360 degree.

so to find p:

360-(100+62+106)=92 degrees

Hope it helps!

Help me please I can’t do this and I need this for the exam tomorrow?

Answers

The value of the x will be 25. The force involved vertically to the surface of an object per unit area is pressure.

What is pressure?

The force applied perpendicular to the surface of an item per unit area across which that force is spread is known as pressure.

The given data in the problem is;

The base of the block of metal is a rectangle of 20 cm by x cm.

The block exerts a force of 1500 newtons on the ground. The pressure on the ground is 3 newtons/cm²

The area of the rectangle;

A = L × B

A=20 × x

[tex]\rm P = \frac{F}{A}\\\\ 3 N / cm^2 = \frac{1500 N}{20 \times x } \\\\ x= 25[/tex]

Hence the value of the x will be 25.

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what does parallelepiped focus on

Answers

Answer:

A parallelepiped has three sets of four parallel edges; the edges within each set are of equal length. Parallelepipeds result from linear transformations of a cube (for the non-degenerate cases: the bijective linear transformations).

Step-by-step explanation:

A parallelepiped focuses on three-dimensional figures formed by six parallelograms.

How to explain the parallelepiped?

A parallelepiped shape has the following features

They are three-dimensional figuresThey are formed by 6 parallelogramsOpposite parallelograms are congruent

Think of a cube or a cuboid.

Notice that they contain squares and rectangles

A parallelepiped is to a parallelogram as a square is to a cube and a rectangle to a cuboid

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Which solution set matches the equation on the graph?

Answers

Answer: C, {(1, -4), (4, -1)}

Step-by-step explanation: Where the two graphs meet are their solutions, and the points where they meet are {(1, -4),(4,-1)}.

C is the correct answer to this question I promise

WILL GIVE BRAINLYEST
Find measure of X and Y
X=

Y=

Part B:
Choose the correct degree measure for JKL
A. 98
B. 65.5
C. 262
D. 24.5

Answers

Part a
X=14
Y=8
Part b
C

Answer:

x = 7 y = 4 JKL = 262 degrees

Step-by-step explanation:

According to a circle theorem, sum of the opposite angles in a circle which touch its circumference must equal 180, hence:

7x + 131 = 180

x = 7

According to another theorem, a quadrilateral inside a circle must equal 360 so:

99 + 7(7) + 131 + 11(7) + y = 360

Note: remember to substitute 7 for all values of x

y = 4

The angle subtended by an arc at the centre is twice the angle subtended at the circumference

Following this rule, we can conclude that:

2(7x) or 2(2 x 7) = 2(49) which is 98

Lastly, 360 - 98 = 262

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And, of course, both armies relied on cavalry scouts, signal intercepts, visual observation, and captured correspondence.What is the best summary of this paragraph?During the Civil War, intelligence was gathered in the same ways it had been gathered in previous wars.Photography and the telegraph were some of the technological advances that were used in Civil War espionage.Most espionage during the Civil War was fieldwork that included observation, scouting, and interrogation of prisoners.Enslaved persons that ran away, as well as prisoners from the Union Army, were good sources of information during the Civil War. what evidence can you cite that the interstellar medium contains both gas and dust? (select all that apply.) Why would an author choose to use satire?A. To present the facts and evidence that provide support for the author's main argumentB. To give readers information and clues about what will happen in the later part of the storyC. To make readers with opposing viewpoints consider an issue more deeplyD. To make a direct comparison between two things that do not appear to be outwardly alike The sum of three consecutive multiples of 7 is 693. Find the no The protest of the Stamp Act of 1765 by American colonists was an example of which of the following Enlightenment ideas?People must have input into the laws they follow.People should be free to worship as they wish.Government should be separated into three branches.Members of the government must obey the same laws as its citizens. 3.2. The diagram below is divided into equal parts. Which fraction of the parts iswhite?Mark only one oval.Option 1Option 337314IOption 247Option 44/3 (b) Find the area of triangle BCD. And our only miserable consolation was that we believedthat Auschwitz and Treblinka were closely guarded secrets; that the leaders of the free world did not know what was going on behind those black gates and barbed wire; that they had no knowledge of the war against the Jews that Hitler's armies and their accomplices waged as part of the war against the Allies.If they knew, we thought, surely those leaders would have moved heaven and earth to intervene. They would have spoken out with great outrage and conviction. They would have bombed the railways leading to Birkenau, just the railways, just once.-Elie Wiesel, The Perils of Indifference, 1999Which sentence best explains how Wiesel uses pathos in this passage?A. He establishes his credibility by explaining his "great outrage and conviction."B. He uses concrete images like "black gates and barbed wire that create strong emotion.C. He gives specific examples like "Hitler's armies and their accomplices to provide evidence.D. He gives the names of "Auschwitz and Treblinka," two known concentration camps. "If you take Nia out for mexican food, have an air freshener on standby."And Nia responded, "Oh wow LOL"What happened? Why did she laugh? Read the sentence.Kazim likes to watch romantic films with happy endings, but Hannah is such a cynic that she never goes to the movies with him.What does the word cynic imply?that Hannah is negative about most thingsthat Hannah believes in romancethat Hannah thinks positively about thingsthat Hannah prefers adventure films Line mn is parallel to line pq, mp is perpendicular to mn, and nqis perpendicular to pq. consider each statement and determine whether it is true or false. circle the correct answer. options: