If MN=14, NO=11, and QR=27, find the length of PQ. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.

If MN=14, NO=11, And QR=27, Find The Length Of PQ. Round Your Answer To The Nearest Tenth If Necessary.

Answers

Answer 1

Answer:

PQ = 34.4

Step-by-step explanation:

First, we know that the angles in a triangle add up to 180 degrees. Therefore, angle M = 48 and angle R = 74

Next, because there is a corresponding angle in each triangle, they are similar. This means that the ratios between corresponding sides are the same. For example, the side opposite angle O (MN) over the side opposite angle R (PQ) is equal to the side opposite angle N (OM) over the side opposite angle Q (RP)

This can be written as MN/PQ = OM/RP. Note that both the numerators are on the same triangle, and MN and PQ correspond, as well as OM and RP.

We are given MN, NO, and QR. Because NO is opposite a 48 degree angle (angle M) as well as QR (angle P), we can say that NO/QR = another ratio of a pair of corresponding sides. Because we want to find PQ, and both PQ and MN are opposite 74 degree angles, we can say that

NO/QR = MN/PQ

Thus,

11/27 = 14/PQ

multiply both sides by PQ to remove a denominator

PQ * 11/27 = 14

multiply both sides by 27 to remove the other denominator

PQ * 11 = 14 * 27

divide both sides by 11 to isolate the PQ

PQ = 14 * 27 /11

PQ = 34.4


Related Questions

find the positive square of 7.3441​

Answers

Answer:

find the positive square root of 7.3441 Which of the following equations is equivalent to 6(3p – 2) = 20? 18p – 2 = 20 18p – 12 = 20 9p – 8 = 20 9p – 4 = 20 Three less than 3 times a number, n, is 19 more than twice the number.

Step-by-step explanation:

what is the measure of the angle formed by a side of the given angle and the given angle's bisector:27?

Answers

Answer:

Step-by-step explanation:

An angle is cut in half by the bisector.

Since the given angle is 172, its bisector creates 2 equal angles.

2x = 172                 Divide both sides by 2

x = 172/2

x = 86

Brink of tears All my points
Rhonda started a business. Her business made $30,000 in profits the first year. Her annual profits have increased by an average of 5% each year since then.

A) Write an iterative rule to model the sequence formed by the profits of Rhonda’s business each year.
B) Use the rule to determine what the annual profits of Rhondas business can be predicted to be 15 years from the start of her business. Round your answer to the nearest dollar. Do not round until the end. Show your work

Answers

Answer:

(a) $ 30000 + 1500 t

(b) $ 52500

Step-by-step explanation:

Initial profit = # 30,000

Profit increases every year by 5 %.

(a) Let the profit after t year is

P = $ 30,000 + 5% of 30,000 t  = $ 30000 + $ 1500 t

(b) t = 15 years

P = $ 30000 + $ 1500 x 15 = $ 52500  

Using exponential function concepts, it is found that:

a) The model is: [tex]A(t) = 30000(1.05)^t[/tex]

b) The prediction for her profits in 15 years is of $62,368.

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the growth rate, as a decimal.

Item a:

Her business made $30,000 in profits the first year, hence [tex]A(0) = 30000[/tex].Her annual profits have increased by an average of 5% each year since then, hence [tex]r = 0.05[/tex].

Then, the model is:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 30000(1 + 0.05)^t[/tex]

[tex]A(t) = 30000(1.05)^t[/tex]

Item b:

In 15 years, the estimate for the profits is of:

[tex]A(15) = 30000(1.05)^{15} = 62368[/tex]

The prediction for her profits in 15 years is of $62,368.

You can learn more about exponential function concepts at https://brainly.com/question/25537936

Evaluate without a calculator:
CSC -120°

Answers

Answer:

- [tex]\frac{2\sqrt{3} }{3}[/tex]

Step-by-step explanation:

Using the identity and the exact value

csc x = [tex]\frac{1}{sinx}[/tex]  and sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]

- 120° is in the third quadrant where sin < 0 , then

csc - 120° = - sin60° , then

csc - 120°

= [tex]\frac{1}{-sin60}[/tex]

= - [tex]\frac{1}{\frac{\sqrt{3} }{2} }[/tex]

= - [tex]\frac{2}{\sqrt{3} }[/tex] ( rationalise the denominator )

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

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

The equivalent value of the trigonometric relation cosec ( -120 )° = 2√3/3

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

We know that the cosecant function is defined as the reciprocal of the sine function:

cosec (θ) = 1 / sin(θ)

Therefore, to evaluate cosec(-120°), we first need to find sin(-120°).

We know that sine is an odd function, which means that sin(-θ) = -sin(θ). Therefore,

sin(-120°) = -sin(120°)

We can now use the fact that the sine function has a period of 360 degrees, which means that sin(120°) is the same as sin(120° - 360°) = sin(-240°).

Using the same logic as before, we get:

sin(-240°) = -sin(240°)

Now , from the trigonometric relations , we get

Now, we can use the fact that sin(240°) = sin(240° - 360°) = sin(-120°), which means that:

sin(-240°) = -sin(-120°)

Therefore, we have:

sin(-120°) = -sin(120°) = -sin(-240°) = sin(240°)

Now, we can use the unit circle or trigonometric identities to find sin(240°). One way to do this is to draw a 30-60-90 degree triangle in the third quadrant of the unit circle, with the angle of 240° as the reference angle:

In this triangle, the opposite side (O) has a length of √3, the adjacent side (A) has a length of -1, and the hypotenuse (H) has a length of 2.

Therefore, sin(240°) = O/H = (√3)/2.

Finally, we can use the definition of the cosecant function to find cosec(-120°):

cosec(-120°) = 1/sin(-120°) = 1/sin(240°) = 1/((√3)/2) = 2/√3 = (2√3)/3.

Hence , cosec(-120°) is equal to (2√3)/3.

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please help i have to resit math final so bare with me


help me with this equation : x^2 - 7 = 0 IN QUADRATIC EQUATION

PS. 1st one to answer gets a brainly crown :)

Answers

I hope this is the correct answer

A sequence of transformations is described below.
A dilation about a point P
A rotation about another point Q
A vertical stretch about the horizontal line PQ
A reflection over a line PQ

Here is the answer-
Neither angle measure nor segment length is preserved. Here's why-
This sequence includes a vertical stretch, which is neither a rigid transformation nor a dilation.

Answers

Answer:

I don't understand this

The outer dimensions of a closed rectangular cardboard box are 8 centimeters by 10 centimeters by 12 centimeters, and the six sides of the box are uniformly 12 centimeter thick. A closed canister in the shape of a right circular cylinder is to be placed inside the box so that it stands upright when the box rests on one of its sides. Of all such canisters that would fit, what is the outer radius, in centimeters, of the canister that occupies the maximum volume

Answers

Answer:

Vmax = 192.33 cm³

Step-by-step explanation: An error in the problem statement. The sides of the box could not be 12 cm. We assume 1.5 cm

Inside dimensions of the box:

Outer dimensions :          12          10         8

 2 *  1.5   =  3                      3            3         3

Inside dimensions:            9            7         5

The volume of a right circular cylinder is:

V(c)  =  π*r²*h              r is the radius of the base and  h the height

By simple inspection is obvious that volume maximum will occur when r is maximum, and r is maximum, only when the base of the cylinder is in the rectangle 12*10. ( Inside  dim  9*7 ) In that case r  =  7/2   r = 3.5 cm

Then the height is 5 cm.

And the maximum volume of the cylinder is:

Vmax = 3.14* ( 3.5)²*5

Vmax = 192.33 cm³

Find the value of cos H rounded to the nearest hundredth, if necessary

Answers

Answer:

0.6

Step-by-step explanation:

cos H = GH/FH

FH^2=20^2+15^2

FH^2=400+225=625

FH=25

cos H= 15/25=3/5=0.6

Answer:  0.6

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

Explanation:

Before we can apply a trig ratio, we need to find the length of the hypotenuse. Use the pythagorean theorem.

a^2 + b^2 = c^2

c^2 = a^2 + b^2

c = sqrt(a^2 + b^2)

c = sqrt(15^2 + 20^2)

c = 25

The hypotenuse is 25 units long, which is the length of segment FH.

Now we can find the cosine ratio

cos(angle) = adjacent/hypotenuse

cos(H) = GH/FH

cos(H) = 15/25

cos(H) = 3/5

cos(H) = 0.6

What is the equation of the line that is parallel to y = 6x – 1 and passes through the point (-3, 4)?
The equation will be in slope-intercept form.

Answers

Answer:

y = 6x + 22

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x - 1 ← is in slope- intercept form

with slope m = 6

Parallel lines have equal slopes, then

y = 6x + c ← is the partial equation

To find c substitute (- 3, 4 ) into the partial equation

4 = - 18 + c ⇒ c = 4 + 18 = 22

y = 6x + 22 ← equation of parallel line

the difference in the measure of two complementary angle is 28 degrees. find the measure of these angles.please answer this question.​

Answers

Answer:

Hey

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

because i said so

(100 points)


4. MIke divided the group into 5 groups. If there were 28 people in each group how big was the original group?


a. What are they asking for? __________________


b. identify all the necessary numbers. __________________


c. write the equation or problem in numeric form. ______________


d. solve the math. ______________________________


e.write the answer. ______________________________


5. If he difference is 589 and the subtrahend is 339,what is the minuend?


a. What are they asking for? __________________


b. identify all the necessary numbers. __________________


c. write the equation or problem in numeric form. ______________


d. solve the math. ______________________________


e.write the answer. ______________________________


6. If the quotient is 17 and the dividend 765, what is the divisor?


a. What are they asking for? __________________


b. identify all the necessary numbers. __________________


c. write the equation or problem in numeric form. ______________


d. solve the math. ______________________________


e.write the answer. ______________________________

Answers

4. MIke divided the group into 5 groups. If there were 28 people in each group how big was the original group?

a. What are they asking for?

how big was the original group?

b. identify all the necessary numbers.

28,5

c. write the equation or problem in numeric form.

x=28*5

d. solve the math.

x=140

e.write the answer

. the original group contains 140 people.

5. If he difference is 589 and the subtrahend is 339,what is the minuend?

a. What are they asking for?

what is the minuend?

b. identify all the necessary numbers.

589,339

c. write the equation or problem in numeric form.

x=589-339

d. solve the math.

x=250

e.write the answer.

minuend=250

6. If the quotient is 17 and the dividend 765, what is the divisor?

a. What are they asking for?

what is the divisor?

b. identify all the necessary numbers.

17,765

c. write the equation or problem in numeric form.

x=765/17

d. solve the math.

x=45

e.write the answer.

divisor is 45.

4. Solution

a. How big was the original group?

b. 28 and 5

c. x = 28×5

d. x = 140

e. There are 140 people in original group.

5. Solution

a. What is the minuend?

b. 589 and 339

c. x = 589-339

d. x = 250

e. The minuend is 250.

6. Solution

a. What is the divisor?

b. 17 and 765

c. x = 765/17

d. x = 45

e. Hence, 45 is the divisor.

Volume= 27cm3
Density =5 g/cm3
Mass=

Answers

Answer:

135g

Step-by-step explanation:

[tex]\boxed{mass = density \times volume}[/tex]

Given: density= 5g/cm³, volume= 27cm³

Mass

= 5 ×27

= 135g

Find the equation of a circle with a center at (0, -4) and a point on the circle is (6, 0).

Answers

Answer:

[tex]x^2 + ( y + 4)^2 = 52[/tex]

Step-by-step explanation:

Equation of circle with center (a , b) and radius, r is :

[tex](x -a)^2 + ( y -b)^2 = r^2[/tex]

Given :  a = 0 , b = - 4

Step 1 : Find the radius.

       Given ( 6 , 0 ) lies on the circle. Therefore the distance between the center (0 , - 4) of the circle and ( 6 , 0 ) gives the radius of the circle.

   [tex]r = \sqrt{( 0 - 6)^2 + ( -4 - 0)^2} \\\\[/tex]

     [tex]= \sqrt{ 36 + 16 } \\\\= \sqrt{52}[/tex]

Step 2 : Equation of circle.

  [tex](x - 0)^2 + (y -( - 4))^2 = (\sqrt{52})^2\\\\x^2 + ( y+ 4)^2 = 52[/tex]

Which represents the inverse of the function f(x) = 4x?
O
h(x) = x + 4
h(x) = X- 4
h(x)
3,
4
h(x) = =x

Answers

Good luck I am not sure

The solution is n = –2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification?

0.8 = 0.8
–0.8 = –0.8
3 = 3
–3 = –3

Answers

Hello,

Answer B : -0.8=-0.8

[tex]n=-2\\1.4*n+2=2*n+3.2\\\\so:\\1.4*(-2)+2=?\ 2*(-2)+3.2\\\\-2.8+2=\ ? -4+3.2\\\\-0.8=-0.8\\[/tex]

The last line of the justification is –0.8 = –0.8

Solving equations

Given the following equation

1.4n + 2 = 2n + 3.2.

Collect the like terms

1.4n - 2n = 3.2 - 2

Substitute n = -2 into the expression

1.4(-2) + 2 = 2(-2) + 3.2
-2.8 + 2 = -4 + 3.2
-0.8 = -0.8

Hence the last line of the justification is –0.8 = –0.8

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Can someone help me with this math homework please!

Answers

Answer:

same after 3 years

because .............................

Answer:

The populations of orangutans will be same after 3 years

Step-by-step explanation:

Let the populations or orangutans is the same after n years

Decrease in population of oragnutans in the first study

=784-25n=784−25n

Decrease in population of oragnutans in the second study

=817-36n=817−36n

According to the question

784-25n=817-36n784−25n=817−36n

\implies 36n-25n=817-784⟹36n−25n=817−784

\implies 11n=33⟹11n=33

\implies 11n=33⟹11n=33

\implies n=\frac{33}{11}⟹n=

11

33

\implies n=3\text{ years}⟹n=3 years

Therefore, the populations of orangutans will be equal after 3 years

Hope this is helpful.

What is the reason for statement 3 in this proof?

Answers

Answer:

A. Definition of angle bisector

Step-by-step explanation:

Given that ΔABC is an isosceles triangle where AB = BC, and that BD bisects ∠ABC, then by the definition of angle bisection of ∠ABC, we have;

m∠ABD = m∠CBD

The correct option is option A. Definition of angle bisector

Also, given that ΔABC is an isosceles triangle and BD is the angle bisector of ∠ABC, we get;

AD = CD and BD = BD

We can therefore, also find that ΔABD ≅ ΔCBD by Side Side Side (SSS) rule of congruency

What is the value of x?



Enter your answer in the box.

Answers

Answer:

solution

Step-by-step explanation:

ADC = Sum of triangle

AD+ AC = 2.25+3 =5.25

Step 2:

BCD = Sum of acute angled triangle = a+b+

c

BCD= 2.25+4+3

BCD = 9.25

The value of x =ADC+BCD

= 5.25+ 9.25

= 14.5

Answer is 2.75
Using the rule of Pitágoras saying that the hyp=square root of a(squared)+b(squared)
It’s gonna be 5 and then you just subtract it from 2.25 and that is the answer of x

what is 0.7dm to nm is? please help asap​

Answers

Step-by-step explanation:

0.7 decimeter =

70,000,000 nanometers

The answer is 70,00,000 hope this helps you out :)

Choose the correct answer from the given four options:In an AP if a = –7.2, d = 3.6, an = 7.2, then n

2

4

3

5​

Answers

Answer:

n=5

Step-by-step explanation:

by using

n=(an-a)/a+1

substituting values

n= 7.2-(-7.2)/3.6 +1

n=5

Help me please guys

Answers

Answer:

m = 5, n = - 1

Step-by-step explanation:

Given

x² + 4x - 5

Consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (+ 4)

The factors are + 5 and - 1 , since

5 × - 1 = - 5 and 5 - 1 = + 4 , then

x² + 4x - 5 = (x + 5)(x - 1)

with m = 5 and n = - 1

In right ΔDEF, DF = 20, m∠ F = 90˚, EF = 17. Which of the following is true? Does option 5 apply

Answers

Answer:

Step-by-step explanation:

From the picture attached,

ΔDEF is a right triangle with two sides,

EF = 17 units

DF = 20 units

By applying Pythagoras theorem in the given triangle,

DE² = DF² + EF²

(20)² = DF² + (17)²

DF² = 400 - 289

DF = √111

Trigonometric ratios for the ∠F,

sin(F) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\text{sin}F=\frac{\sqrt{111}}{20}[/tex]

[tex]\text{cosF}=\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\text{cos}F=\frac{17}{20}[/tex]

[tex]\text{tan}F=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

[tex]\text{tan}F=\frac{\sqrt{111}}{17}[/tex]

Choose the correct option.

A boat is heading towards a lighthouse, where Riley is watching from a vertical distance of 120 feet above the water. Riley measures an angle of depression to the boat at point A to be 18 degrees . At some later time , Riley takes another measurement and finds the angle of depression to the boat (now at point B) to be 65 degrees . Find the distance from point A to point B. Round your answer to the nearest foot if necessary .

Answers

Answer:

313 ft

Step-by-step explanation:

It's hard to explain because its geometry, but there will be a right triangle with angle of 72 and another with angle of 25. do tan72 * 120 - tan25 * 120

The distance from point A to point B is given by the trigonometric relations and d = 313 feet

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the first triangle be represented as ΔAOD

Let the second triangle be represented as ΔBOD

where the distance from point A to point B = d

And , Riley is watching from a vertical distance of 120 feet above the water

Riley measures an angle of depression to the boat at point A to be 18 degrees

Riley takes another measurement and finds the angle of depression to the boat (now at point B) to be 65 degrees

So , ∠BOD = 25° and ∠AOD = 72°

From the trigonometric relations ,

tan θ = opposite / adjacent

tan AOD = AD / OD = tan 72°

tan 72° = 3.087

tan BOD = tan 25° = 0.47

Now , the measure of AD = 120 x 3.087 = 369.6 feet

And , the measure of BD = 120 x 0.74 = 56.4 feet

Therefore , the distance from A to B = 369.6 feet - 56.4 feet

d = 313 feet

Hence , the distance is 313 feet

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Help!!!!!!!!!!!!!!!!!!

Answers

I think it’s the third one if not I apologize

Write the equation of the line from the graph(serious answers only pls)

Answers

Answer:

x = -3

Step-by-step explanation:

Here, this is a vertical line

What this mean here is that the x-value remains constant irrespective of the y value

For all the y values, we have a single x-value

so what this mean is to simply locate the x-axis. value and equate it to x

We have this as;

x = -3

Please help! Find the length of side CD.

Answers

Answer:

The answer should be 6.63

Bd and bc form a right triangle with cd

Use the Pythagorean theorem

Cd = sqrt( 12^2 - 10^2)

Cd = sqrt( 144-100)

Cd = sqrt(44) = 2sqrt(11)

Find the TWO integers whos product is -12 and whose sum is 1

Answers

Answer:

[tex] \rm Numbers = 4 \ and \ -3.[/tex]

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]

Hence the numbers are 4 and -3

Step-by-step explanation:

[tex]numbers \: = x \: and \: y \\ x \times y = - 12......(1) \\ x + y = 1..... ..(2) \\y = 1 - x \\ put \: this \: in \: (1) \\ x(1 - x) = - 12 \\ x - {x}^{2} = - 12 \\ - x + {x}^{2} - 12 = 0 \\ factorise \\ {x}^{2} - 4x + 3x - 12 = 0 \\ x(x - 4) + 3(x - 4) = 0 \\ (x - 4)(x + 3) = 0 \\ x = + 4 \: or \: - 3 \\ thank \: you[/tex]

PLS HELP FAST! I NEED THIS FAST :((

Answers

Answer:

In order:

Distributive Property

Subtraction Property of Equality

Division Property of Equality or Reciprocal Property

Step-by-step explanation:

Find d:
d=| 5 1 |
|-1 10 |
D= 51

[2 4 ]
[-3 9]
the determinant of the above matrix: 30

Answers

Answer:

D = 51, other = 30

Step-by-step explanation:

d = | 5  1 |

     |-1  10|

D = (5 x 10) - ( 1 x -1) = 50 + 1 = 51

| 2   4|

|-3   9|

(2 x 9) - (4 x -3) = 18 + 12 = 30

Find the probability of rolling a three first and then a six when a pair of dice is rolled twice.


a. 1/18

b. 5/648

c. 1/54

d. 5/324

Plz help me

Answers

Answer:

5 / 648

Step-by-step explanation:

Given tbe sample space for a pair of dice attached below :

Sample space for a pair of dice = 6² = 36

Rolling a 3 first :

Recall, probability = required outcome / Total possible outcomes

P(rolling a 3). = 2 / 36 = 1 /18

Probability of rolling a 6 (second roll)

P(rolling a 6) = 5 / 36

Hence,

P(3) then P(6) ;

1 / 18 * 5/36 = 5 / 648

Other Questions
Which details did you include in your paraphrase? Check all that apply o the use of the derrick to transport materials Sample response: Thinking ahead allowed builders to construct the Empire State Building very quickly. Every day, workers were given instructions that showed what had to be done and where each delivery needed to go. Individual materials were marked to make sure they went to the right place in the building.the use of the derrick to transport materials how much skill the planning torokthe organization of the projectthe speed of the project assertion: empty milk pouches are biodegradable Reason: they cannot be used in biogas formation explain two reasons why forgiveness is important to christians, in ReligiousEducation 6. An object is fired from the gound at 275 m/s at an angle of 55 N of E. a. How far away did the object first hit the ground?b. what is the maximum height that the object reaches? where were you going when I called you?1. I went to the bus stop 2. I was heading downtown 3. I stood on the bus 3. I sat on the bus Select from the drop-down menu to correctly complete this statement.Inside the chromosomes are molecules that contain all information an organism needs to grow and reproduce. This is its __________. Which action is part of a scientific investigation?A. Gather opinions about which natural events to observe.B. Record useful data gathered through observation.C. Analyze the total cost of conducting an experiment.D. Interview scientists from many areas of study. A motel in New Orleans charges $90 per day for double occupancy and $80 per day for single occupancy during off-season. If 80 rooms are occupied for a total of $6,930, how many rooms of each kind are occupied? Suppose the figure KLMN is dilated using a scale factor of 1/3 with the center of dilation at the origin. Which are the ordered pairs for the image?1. K(-1,3), L(-3,0), M(, -8/3), N(2, 4/3)2. K(-9,27), L(-27,0), M(6, -24), N(18, 12)3. K(0,6), L(-6,-3), M(-1, -5), N(3, 1)4. K(3,-1), L(0,-3), M(-8/3, ), N(4/3,2) pls help me with thisExpress 0.0065184 in 3 significant figures help me plsssssssss:( Solve the inequality x^2+7x+10< 0 Which form of communication is preferred if only an overview of a subject needs to be told? PLEASE ANYONE definition of a percent increase? Que cantidad se obtiene al resolver la siguiente operacion: [4+{(2-5)2-4(7-5)3+2(15/3)}]- Raiz cuadrada de 16 the pressure of a sample of helium in a 0.150 L container is 1520 torr. if the helium is compressed to the volume of 0.012 L without changing the temperature what would be the pressure of the gas Individuals can differentiate themselves by making human capital investments, just as a firm can differentiate itself by paying higher wages.A. TrueB. False Tracey Sales Co. has predicted the following costs for this year for 500,000 units: Manufacturing Selling and Administrative Variable $ 800,000 $250,000 Fixed 1,200,000 300,000 Total $2,000,000 $550,000 What is the markup on variable manufacturing costs needed to break even what is the formula for finding the length of a line on the cartesian plane. Exactly how many planes contain points J, K, and N?a - 0b - 1c - 2d - 3