In parallelogram M NOP, PK = 5x and K N = n2 – 14.
What is PN?
A. 7
B. 36
C. 70
D. 100

In Parallelogram M NOP, PK = 5x And K N = N2 14.What Is PN?A. 7B. 36C. 70D. 100

Answers

Answer 1

Answer:

C.) 70

Step-by-step explanation:

The line PN is made up of PK and KN (PN = PK + KN). We also know that PK must equal KN (definition of a parallelogram). Therefore, you can set the value of both lines equal to each other, solve for x, then add them together to find PN.

PN = ?    
PK = 5x    
KN = n² - 14

PK = KN                                  <----- Both lines must equal one another

5x = n² - 14                             <----- Substitute values in

0 = n² - 5x - 14                        <----- Subtract 5x from both sides

0 = (x - 7)(x + 2)                      <----- Factor

x = 7    x = -2                          <----- Set both parentheses equal to 0

The value for "x" can be 7 and -2. However, it does not make sense to use a negative value in this situation. If we were to plug -2 into the equations, it would result in lines with a negative value. Therefore,  "x" must be 7. Next, plug this value in for "x" to find the numerical value of PK and KN.

PK = 5x  ----->  5(7) = 35

KN = n² - 14  ----->  (7)² - 14 = 35

The fact that these are equal makes sense. Now, add these two numbers to find the value of the overall line.

PK + KN = PN

35 + 35 = 70

Therefore, C.) 70 is the value of PN.


Related Questions

Answer answer please

Answers

Answer:

c

Step-by-step explanation:

dont trust me but it seems like c

6. Clark wants to transform a shape on the
coordinate plane by using a rigid transformation.
Of the choices below, list any that Clark can use.
I.
Dilation
II. Rotation
III. Translation
IV. Reflection

Answers

Answer = 2,3,and 4

a rigid transformation is a geometric transformation that preserves the distance between every pair of points. The rigid transformations include rotations, translations, reflections, or any sequence of these (dilation changes the points for a bigger or smaller shape so it is NOT rigid)

Triangle x y z is reflected over its hypotenuse to form kite x y z y prime. hypotenuse x z has a length of 13, x y is 5, and y z is 12. triangle xyz is reflected over its hypotenuse to create a kite. what is the approximate distance from y to y’? round to the nearest tenth. 4.6 units 5.4 units 8.0 units 9.2 units

Answers

The approximate distance from y to y’ in the given triangle x y z reflected over its hypotenuse to form kite x y z y is  9.2 units.

Value of angle X

The value of angle X in ΔXYZ is calculated as follows;

tanx = 12/5

tanx = 2.4

x = tan⁻¹(.24)

x = 67.38⁰

Vertical height

The height from vertex Y to horizontal line XZ is calculated as follows;

sinx = h/5

h = 5(sinx)

h = 5(sin67.38)

h = 4.62

Distance between Y and Y'

YY' = 4.62 + 4.62 = 9.24 units

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Answer:

A ✔️

Step-by-step explanation:

"4.6"

I need this answered please

Answers

Answer:

see the attachment!

i hope this can help you!

36.4 divided by 109 1/5

Answers

Answer:

0.33

Step-by-step explanation:

36.4 divided by 109 1/5 is 0.33.

Given f(x)=x^2, write the equation of the transformed function if g(x)=f(x-1)

Answers

Answer:

1. g(x) = (x - 1)²; translation of 1 unit to the right.

2. g(x) = 3^(x + 1) - 2; translation to the left of 1 unit and translation of 2 units down.

Step-by-step explanation:

1.

f(x) = x²

g(x) = f(x - 1)

g(x) = (x - 1)²

Since x was replaced by x - 1, g(x) is similar to f(x) with a translation of 1 unit to the right.

2.

f(x) = 3^x

g(x) = f(x + 1) - 2

g(x) = 3^(x + 1) - 2

Since x was replaced by x + 1, which is the same as x - (-1), there is a translation to the left of 1 unit. In addition, the -2 causes a translation of 2 units down.

Find the mass of a thin triangular plate bounded by the coordinate axes and the line if

Answers

The mass of a thin triangular plate bounded by the coordinate axes is 3 3/4.

How to calculate the mass?

It should be noted that mass simply means a quantity of matter that's in a body. It's the meaure of the inertia in the body.

In this case, from the complete question, the mass will be:

= 3/1000[1/24x⁴ - 25x² + 1000/3x]

= 15/4

= 3 3/4

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Beginning with the graph of f(x) = x2, what transformations are needed to form g(x) = 3(x + 2)2 – 1?

Answers

Answer:

g(x)=(x+3)2 we must find x? so x+3=0 x=-3 we transformation -3 on left

Step-by-step explanation:

can u answer my queston pleas on my acc

The transformations applied to f(x)=x² to form g(x)=3(x+2)² −1 are: Horizontal shift left by 2 units.

Vertical stretch by a factor of 3.

Vertical shift down by 1 unit.

To transform the graph of  f(x)=x² into g(x)=3(x+2)² −1, we can identify a series of transformations that have been applied to the original function.

The term (x+2)² inside the function g(x) indicates a horizontal shift to the left by 2 units compared to f(x).

This is a shift in the negative direction on the x-axis.

The coefficient 3 in front of (x+2)² indicates that the graph is vertically stretched by a factor of 3 compared to the graph of f(x).

The term −1 subtracted at the end of the function g(x) indicates a vertical shift downward by 1 unit compared to f(x).

This is a shift in the negative direction on the y-axis.

Hence, the transformations applied to f(x)=x² to obtain g(x)=3(x+2)² −1 are horizontal shift to the left by 2 units, vertical stretch by a factor of 3 and vertical shift downward by 1 unit.

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To put money into a savings account, CDs, and stocks is to
A. be risk-adverse
B. invest
OC. secure assets
OD. diversity

Answers

I think the answer should be invest

Find the volume of the composite solid. Round your answer to the nearest hundredth.
The volume is about _____ cubic meters.
(5.1)

Answers

Answer:

97.92 m³ (nearest hundredth)

Step-by-step explanation:

The composite solid is a cube with a cone cut out.

Therefore, to find the volume of the solid, subtract the volume of the cone from the volume of the cube.

Volume of Cube

[tex]\textsf{Volume of a cube}=\sf s^3 \quad\textsf{(where s is the side length)}[/tex]

Given:

s = 5.1 m

Substitute given value into the formula:

[tex]\begin{aligned}\implies \sf V_{cube} & = \sf 5.1^3\\& = \sf 132.651\: m^3\end{aligned}[/tex]

Volume of Cone

[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

[tex]\sf r=\dfrac{1}{2}(5.1)=2.55\:m[/tex][tex]\sf h = 5.1\:m[/tex]

Substitute given values into the formula:

[tex]\begin{aligned}\sf \implies V_{cone} & = \sf \dfrac{1}{3} \pi (2.55^2)(5.1)\\& = \sf 11.05425 \pi \: m^3\end{aligned}[/tex]

Volume of Composite Solid

[tex]\begin{aligned}\sf V_{solid} & = \sf V_{cube}-V_{cone}\\& = \sf 132.651-11.05425 \pi \\& = \sf 97.92304941...\\& = \sf 97.92 \: m^3 \: (nearest\:hundredth)\end{aligned}[/tex]

Volume of the cube

Side³(5.1)³132.65m³

For the cone

Radius of base=r=5.1/2=2.55mHeight=h=5.1m

Volume

1/3πr²h1/3(π)(2.55)²(5.1)34.71m³

Total volume of the figure

132.65-34.7197.94m³

There are 13 buttons in a bag 9 buttons are white. 4 buttons are black Carol takes a button at random from the bag, and keeps it She now takes another button from the bag. Work out the probability that Carol takes a button of each colour.​

Answers

Step-by-step explanation:

Answer is case 1st:

P(of white button) = 9/13

P(of black button) = 4/12

Case 2nd

P(of black button) = 4/13

P(of white button) = 9/12

Explanation

Given: A Question

To find: Probability

Solution :Case 1st

If carol takes the first button is white

P(of picking a white button) = 9/13

And

P(of picking a black button) = 4/12

Case 2nd

If carol takes the first button is black

So, P(of picking a black button) = 4/13

And P( of picking a white button) = 9/12

Answer is Case 1st
P(of white button) = 9/13
P(of black button) = 4/12
Case 2nd
P(of black button) = 4/13
P(of white button) = 9/12

Explanation: Given : A Question
To find : Probability
Solution : Case 1st
If carol takes the first button is white
P(of picking a white button) = 9/13
And
P(of picking a black button) = 4/12
Case 2nd
If carol takes the first button is black
So, P(of picking a black button) = 4/13
And P(of picking a white button) = 9/12

I hope this helps.

What is the domain and range for the following function and its inverse?

Answers

Answer:

I have recently learned about this and maybe I could help you if you have given the function but also let explain it.

Step-by-step explanation:

Domain is also known as pre image and also 'x' I.e first element.

Range is also known image and also y I.e second element .

And about inverse we just have to write second element at first and first element at second.

Hope it helps

please help, much appreciated!!!! (will mark brainliest)

Answers

Answer:

16 years

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Find the surface area of the rectangular prism

Answers

Answer:

82 inches squared

Step-by-step explanation:

7*3*2 = 42

7*2*2 = 28

3*2*2 = 12

42 + 28 + 12 = 82

Ali is 5 years older than salifu, If Salifu is y years.
how find Ali's age. Write answer in an equation

Answers

Ali’s age is Salifu’s age plus 5.

y+5=Salifu age

What is the slope of the line passing through (9,-6) and (5, 10)?

Answers

Answer:

-4

Step-by-step explanation:

m=y2-y1/x2-x1

m=10+6/5-9

m=16/-4

m=-4

Answer: 4/-4

Step-by-step explanation:

Slope Formula= (y2-y1/x2-x1)

10-6/5-9

4/-4

DIRECTIONS: Use the numbers 0 through 9 (once and only once) in each blank space. Your goal is to form a way to say the target number.

Answers

The answers are 9, 6, 7, 0, 2, 5, 7, 1, 7, and 2 which makes the target value by putting in the blank box.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

The target number is 54

= 9×6 = 54

= 8×7 - 02

= 5×7 + 19

= 27×2 = 54

Thus, the answers are 9, 6, 7, 0, 2, 5, 7, 1, 7, and 2 which makes the target value by putting in the blank box.

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Suppose you are running in a marathon for charity, looking to raise at least $1500. People may sponsor you by donating either $15 or $25 for every mile you run. However, you cannot have more than 100 people sponsoring you for this marathon.
Now, create a system of inequalities using the above information (use x and y as the variables).

Answers

Answer:

See below ~

Step-by-step explanation:

Let :

x = people donating $15 when you runy = people donating $25 when you run

Two inequalities created are :

15x + 25y ≥ 15003x + 5y ≥ 300 [Simplified] ⇒ Inequality 1x + y ≤ 100 ⇒ Inequality 2

Solving

x + y ≤ 10015(x) + 25(x) ⩾ $1500

Let the people paying $15 be "x" and $25 be "y"

1st inequality

15(x) + 25(x) ⩾ $1500

2nd inequality

x + y ≤ 100

what is the difference between -4-(-13)

Answers

Answer:

9

Step-by-step explanation:

- 4 - ( - 13 )

= - 4 + 13

= 13 - 4

= 9

Which picture shows 1/4?

Answers

Answer:

The bottom left picture is the answer. It contains 4 equally sized parts and only has 1 shaded part, so that's 1 shaded part / 4 parts, or 1/4. The top left picture have 5 parts instead of 4 (1/5), the parts in the top right picture aren't equally sized, and the bottom right picture has 2 parts shaded instead of 1 (1/2)

Hope this helps!

Answer:

1

Step-by-step explanation:

because in 1 there is 1 dark box and 4 light box while others are irregular

A triangle has sides with lengths of 8 meters, 12 meters, and 13 meters. is it a right triangle?

yes or no ?

Answers

Answer:

no

Step-by-step explanation:

sides of right triangle are in Pythagorean Theory  ex 3,4,5 or 5,12,13  0r 8,15,17

A mass attached to a spring is pulled toward the floor so that its height above the floor is 10 mm (millimeters). The mass is then released and starts moving up and down reaching maximum and minimum heights of 20 and 10 mm , respectively, with a cycle of 0.8 seconds.
a) Assume that the height h(t) of the mass is a sinusoidal function, where t is the time in seconds, sketch a graph of h from t = 0 to t = 0.8 seconds. t = 0 is the time at which the mass is released.
b) Find a sinusoidal function for the height h(t).
c) For how many seconds is the height of the mass above 17 mm over one cycle?

(would anyone like to talk not to be weird or anything lol)

Answers

The answer would be C second height mass

i ready 3 5/3 x (-8 1/3)=

Answers

Answer:

-350/9 (improper fraction)

-38 8/9 (mixed number)

Step-by-step explanation:

Converting to improper fractions :

3 5/33 x 3/3 + 5/39/3 + 5/314/3

    2. -8 1/3

-(8 x 3/3 + 1/3)-(24/3 + 1/3)-25/3

Multiplying them :

14/3 x -25/3-350/9 (improper fraction)-38 8/9 (mixed number)

Answer:

[tex]-38 \frac{8}{9}[/tex]

Step-by-step explanation:

[tex]3 \frac{5}{3} \times -8 \frac{1}{3}[/tex]

Convert to improper fractions:

[tex]\implies \dfrac{3 \times 3 +5}{3} \times -\dfrac{8 \times 3 +1}{3}[/tex]

[tex]\implies \dfrac{14}{3} \times -\dfrac{25}{3}[/tex]

Multiply the numerators and denominators:

[tex]\implies \dfrac {14 \times (-25)}{3 \times 3}[/tex]

[tex]\implies -\dfrac{350}{9}[/tex]

Convert back into a mixed number:

[tex]\implies -38 \frac{8}{9}[/tex]

A ticket resale service sells sports championship tickets at a markup of 250%. If a ticket originally costs $150, how much does the resale service charge after adding its markup to the price?

Answers

333 dollars I believe would be the answer.

With the metal  detector we find 70 Roman coins underground,30 are Etruscan,15 are Greek. What is the probability   ,that I draw a Greek coin?​

Answers

Answer:

30*100/70= 42.85% chances that you will draw a Etruscan coin and same way 42.85-100= 57%

Answer:

3/23

Step-by-step explanation:

Probability (Greek) :

Number of Greek coins / Total coins15 / 70 + 30 + 1515/1153/23

2. Triangle ABC has side lengths of
5 units, 13 units, and 12 units.
Use the Converse of the Pythagorean
Theorem to prove that ABC is a right
triangle. Write numbers 1-4 to order
the steps.
52 + 122 = 132
a²+ 62=c²
169 = 169
25 + 144 = 169
Therefore, triangle ABC is a right
triangle.

Answers

Answer:

1- a²+b²=c²

2- 5²+12²=13²

3- 25+144=169

4- 169=169

What is a nonagon with a perimeter of 144 inches?

Answers

Answer: Regular nonagon

Step-by-step explanation: In image

a date in march is chosen at random, then the spinner below is spun once. find the probability of an odd number, then blue?

Answers

Answer:

The probability of an odd number is 17/31 and the probabilty of blue is 1/3

Step-by-step explanation:

a bookstore carries 50 magazines. 34% of the magazines are womens magazines. how many woman’s magazines does the bookstore carry?

Answers

Answer:

50 * 34%

50 * 34/100

34 / 2 = 17

David currently earns $25.00 per hour. He receives a 5% raise each year. He
wants to know how many years it will be until he is earning more than $30.00
per hour.

Answers

Answer:

4 years

Step-by-step explanation:

30 = 25 ( 1.05)^n

1.2 = 1.05^n

log 1.2  / log 1.05   = n years = 3.73    ~ 4 years

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