Find the value of x in the parallelogram below

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.

Answer:

A. The initial amount of medicine.

Step-by-step explanation:

Same explanation as the one I answered before. The 250 is the original value.

Answer:

Right triangle

Step-by-step explanation:

If the triangle has one angle that measures 50 degrees and another angle that measures 40 degrees, then the last angle must measure 90 degrees because the 3 angles of any triangle add up to 180, so we can set up the following:

180 - (50 + 40) = 90 degrees.

Any triangle that has a 90 degree angle is automatically a right triangle.

Hope this helps!

________________________________________________________

As we know, a triangle has 180° in total and has three angles.

⇒ Angle 1 + Angle 2 + Angle 3 = 180

We are given the following:

Let the 3rd angle be known as "x".

For the triangle to be classified as an isoceles triangle, two angles must be of same measure. Thus, there are two possibilities.

⇒ 50 + 40 + 40 = 180                                                   [Angle 2 = Angle 3]

-------------- Or -------------

⇒ 50 + 40 + 50 = 180                                                   [Angle 1 = Angle 3]

Possibility-1:

Possibility-2:

Therefore, the triangle cannot be an isoceles triangle.

________________________________________________________

As we know, a triangle has 180° in total and has three angles.

⇒ Angle 1 + Angle 2 + Angle 3 = 180

We are given the following:

Let the 3rd angle be known as "x".

For the triangle to be classified as an obtuse triangle, the third angle must be a measure greater than 90°. Therefore,

This is false because 90 is not greater than 90. Therefore, the triangle is not an obtuse triangle.

________________________________________________________

As we know, a triangle has 180° in total and has three angles.

⇒ Angle 1 + Angle 2 + Angle 3 = 180

We are given the following:

Let the 3rd angle be known as "x".

For the triangle to be classified as a right triangle, the third angle must be a measure equivalent to 90°. Therefore,

Therefore, this triangle is a right triangle.

________________________________________________________

As we know, a triangle has 180° in total and has three angles.

⇒ Angle 1 + Angle 2 + Angle 3 = 180

We are given the following:

Let the 3rd angle be known as "x".

For the triangle to be classified as an equiangular triangle, all the angles must be equivalent (60°). Therefore,

Therefore, this triangle is not an equiangular triangle.

________________________________________________________

In conclusion, we can conclude that Option C (Right triangle) is correct.

Answer:

Step-by-step explanation:

   8) AC = DC              Given

       BC  = EC              Given

      ∠ACB ≅ ∠DCB    Vertically opposite angles are congruent

9)  RS = TS                              Given

     SU =SU                              Reflexive property

     ∠RSU = ∠TSU                    Given

Answer:

BELOW

Step-by-step explanation:

DO I HEAR 100 POINTS? Yes.

For the first image, that answer is A.

For the second image, I'm a bit confused on which problems you want me to do, so I'll do number 10, 11, and 14.

10) Yeah, you're correct, it is J.

11) (1,-6), (-2,-5), (8,2) (4,0) and I can't see the last point so..

14)  Can't see the question :(

#1

Put (0,0)

Shading will be away from origin.

y inetercept

Check the direction of line by taking 4 and -4

The graph should bend down on left side while rise up in right side

Option A

#2

Putting origin in it

Shading away from origin

And

Putting origin

Shading towards origin

Step-by-step explanation:

Given,

[tex]x = {3}^{m} [/tex]

[tex]y = {3}^{n} [/tex]

Now

Consider

[tex] {3}^{4m - 1} [/tex]

We know that

[tex] \frac{ {a}^{p} }{ {a}^{q} } = {a}^{p- q} [/tex]

Using this we can write

[tex] {3}^{4m - 1} = \frac{ {3}^{4m} }{ {3}^{1} } [/tex]

[tex] = \frac{ {3}^{4m} }{3} [/tex]

We know that

[tex] ({a}^{p}) ^{q} = {a}^{pq} [/tex]

Using this we get

[tex] \frac{ {3}^{4m} }{3} = \frac{ ({3}^{m})^{4} }{3} [/tex]

Since we know that

[tex] {3}^{m} =x [/tex]

We get

[tex]= \frac{ {x}^{4} }{3} [/tex]

3x² + 4

3.-3.-3 + 4

27 + 4

31

hope it helps...!!!

Answer:

31

EXPLANATION

[tex] = 3 \times { - 3}^{2} + 4 \\ = 3 \times 9 + 4 \\ = 27 + 4 \\ = 31[/tex]

Answer:

Equation: 2x + x = 180

x = 60

∠GFH = 120

∠CBD = 60

Step by step:

Use 2x + x = 180 because the angles are on a straight line meaning they have a sum of 180:

2x + x = 180

3x = 180

3x/3 = 180/3

x = 60

Now just substitute:

∠CBD = x = 60

∠GFH = 2x = 120

Step-by-step explanation:

u didn't showed me but I will help u

here is your answer

Answer:

  a. dimpled: 4 < 7 < 2·4

  b. not symmetrical about θ = π/2

  c. r2: smaller, cardioid

Step-by-step explanation:

The general form of the equation for a limaçon can be written ...

  r = a·cos(θ) +b

This equation gives rise to 4 types of limaçon based on the relationship between a and b:

__

We have a=4, b=7, so a < b < 2a. The limaçon is dimpled.

The equation is not the same if θ is replaced by π/2 -θ. The curve is not symmetrical about θ = π/2.

The equation for r2 ...

Answer:

1

Step-by-step explanation:

m/8n > 4/8(1/2) ( since its 1/2 all you need to do is change the fraction to whole number which is 1/2 = 0.5)

The given will become 4/4 then simplest form is 1

Step-by-step explanation:

fgx= x+6

g(f(x)=√x²+6

am not sure about the rest

Answer: 2

Step-by-step explanation:

Answer:

The answer is a.) $49,000

Step-by-step explanation:

i just took the test!!

Given that  the company estimates the probability that the new can opener will be will be successful is 5/8. If it is successful, it would be able to make $200,000. The company would make nothing if it were unsuccessful. The development costs for the can opener are $76,000. The expected value is $49000.

Expected value is the return you can expect for some kind of action.

The formula for the Expected Value is: ΣX.P(X) .

The amount earned by the company if the new can opener is successful = Revenue of the company - amount invested = $200,000 - $76,000 = $124,000

Probability that the new can opener will be successful = 5/8

Amount earned/ lost if the new can opener is not successful = $0

Probability that the new can opener will not be successful = 1 – 5/8 = 3/8

Expected value = amount earned if the new can opener is successful * Probability that the new can opener will be successful + Amount earned/ lost if the new can opener is not successful * Probability that the new can opener will not be successful

= 124,000 * 5/8 + 0 * 3/8

= $49000

Learn more about expected value here

https://brainly.com/question/13945225

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Answer:

(1,0)

Step-by-step explanation:

This is because a system of equations is when two lines cross to form a point that they share. (1,0) is the point where the two lines cross/intersect.

Answer:

(1,0)

Step-by-step explanation:

The answer is where the ines intersect to form a point.

Answer:

Extremely sorry if my answer is wrong or doesn't make sense! Also sorry that I couldn't solve it farther, I solved it using sense and haven't made it this far in math!

Step-by-step explanation:

If red is 2:3 then that means red to green is either 2:2 or 2:1. Same goes with blue.

If green is 6:19 then we can figure out the 2 possibilities for red to green.

First Possibility:

If the red to green ratio is 2:2, then the red to green to blue is 6:6:13 because 6 + 19 - 12 = 13.

Second Possibility:

If the red to green ratio is 2:3, then the red to green to blue ratio is 4:6:15 because 6 + 19 - 10 = 15.

Square has 4 sides

20 mill for each side

we mutiply all four corners

=80 mill

Answer:

(a) sector

(b) chord

(c) tangent

Step-by-step explanation:

[tex]\log_6 6^3\\\\=3 \log_6 (6)~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=3 \cdot 1~~~~~~~~~~~~~~~~~~~~~~;[\log_a a=1]\\\\=3[/tex]

Answer:

Step-by-step explanation:

3x^2 - x + 4 and 2x- 4x^2 - 7

3x^2 - x + 4 = no solution

2x- 4x^2 - 7 = no solution

Attached images. :)

-

Comment if it's confusing, I would love to explain. <3

Answer:

351.68 m²

Step-by-step explanation:

surface area of cylinder = 2πrh + 2πr²

r = 4m

h = 10m

2πrh + 2πr² = 2*π*4m*10m + 2*π*(4m)² = 2*3.14*4m*10m + 2*3.14*4m*4m = 351.68 m²

Answer:

h > 24

Step-by-step explanation:

h/3 > 8

so basially you move the number three from the left side to the right side

so from division to multiplication

h > 8 x 3
h > 24
Solved !

Hope it helped ! Have a nice day !

Answer:

C

Step-by-step explanation:

the area (A) of the hexagon can be calculated as

A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )

p = 6 × 10 = 60 and a = 5[tex]\sqrt{3}[/tex] , then

A = [tex]\frac{1}{2}[/tex] × 60 × 5[tex]\sqrt{3}[/tex]

   = 30 × 5[tex]\sqrt{3}[/tex]

   = 150[tex]\sqrt{3}[/tex]

   ≈ 259.8 cm² ( to the nearest tenth )

Answer:

64 in²

Step-by-step explanation:

I did not ever do a problem like this, however this is the beauty of math, you can easily reverse engineer it.

Remember,

A = [tex]\pi r^2[/tex]

And if we have 4 circles that means the area of one circle is 1/4th the total

So,

[tex]A=\frac{\pi r^2}{4}[/tex]

Assuming that 16 is the radius squared times 4 lets ignore that squared for now because when going backwards we would get rid of the squared last as that was the first step.

[tex]A=\frac{16\pi }{4}=\frac{4\pi }{1}=4\pi[/tex]

Now lets get it back to  by square rooting the 4

[tex]A=\sqrt4\pi =2\pi[/tex]

The radius of one small circle is 2. Therefore; the diameter would be 4 for each. This in mind we know that two small circles diameters make up the radius of the larger circle we will multiply it by two again.

This gives us a final radius of the bigger circle of 8

Therefore, the area of the bigger circle is 8² which simplifies to 64

And a final answer of

64[tex]\pi[/tex] in²

Hope this helps :)

Answer:

C. 1/4

Step-by-step explanation:

Step 1

Make the fraction denominators the same!

1/2 will become 4/8 over here, and 2/8 is already good!

Step 2

Subtract the new fractions!

4/8 - 2/8 is easy! It's 2/8

Step 3

Simplify the answer (2/8)

2/8 will become 1/4 when simplified

or C

The missing angle ∠APB, angle ∠CPD, and angle ∠EPA will be 65°, 77°, and 77° respectively.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.

The diagram is given below.

The angle ∠BPC is 38° and the angle ∠DPE is 103°.

Then the missing angle will be

Angle ∠CPD and angle ∠DPE are linear angles. Then we have

∠CPD + ∠DPE = 180°

  ∠CPD + 103° = 180°

             ∠CPD = 77°

Similarly, angle ∠APB, angle ∠BPC, and angle ∠CPD are linear angles. Then we have

∠APB + ∠BPC + ∠CPD = 180°

         ∠APB + 38° + 77° = 180°

                           ∠APB = 65°

Then the complete circle makes 360°. Then we have

∠APB = 360° - 65° - 38° - 77° - 103°

∠APB = 77°

More about the angled link is given below.

https://brainly.com/question/15767203

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Answer:

4 inches

Step-by-step explanation:

finding base of rectangle

area- 10x7= 70

base- 70/10= 7

finding base of triangle:

area- 4x5= 25

base- 25/5= 4

Answer:

4 in

Step-by-step explanation:

4