pqrs is a parallelogram if r is equals to St and angle B equals to 120° if angle as 2 equals to 4x calculate the value of x​

Answer:

A y(y+10)

Step-by-step explanation:

Answer:

y(y+10y)

Step-by-step explanation:

u would do the second because u have y2 and and 10

Answer: I need more context

Step-by-step explanation:

Answer:

JP is congruent to KP

Step-by-step explanation:

The line between JP means that is is congruent to KP. The 2 lines between NM means that is is congruent to JK.

Answer:

I believe if you have a letter with no value or the value is unknown you put it over 1

Answer:

x = -2/3

Step-by-step explanation:

24 - 3x = -6x + 22

solve using inverse operations

24 - 3x = -6x + 22

    + 6x     + 6x

24 + 3x = 22

-24         -24

3x = -2

/3    /3

x = -2/3

The quadratic function is defined as follows:

p(x) = 2(x - 3)² - 1.

The quadratic function of vertex(h,k) is given by the rule presented as follows:

y = a(x - h)² + k

In which:

The vertex is the turning point of the quadratic function, where it changes from decreasing to increasing or vice-versa, hence it's coordinates are given as follows:

(3,-1).

Then:

p(x) = a(x - 3)² - 1.

When x = 0, p(x) = 17, hence the leading coefficient a is obtained as follows:

17 = 9a - 1

9a = 18

a = 2.

Hence the equation is:

p(x) = 2(x - 3)² - 1.

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Answer:

$40-$15= $25 Rania has $25 dollars left

Step-by-step explanation:

Since Rania earned $40 for her birthday and then she spent $15 dollars at the movies, that means that 40-15=25 so she has 25 dollars left.

The values of the variables, the side lengths and the scale factors are calculated below

Question 11

The height is calculated as

Height : 44 = 5 : 4

So, we have

Height/44 = 5/4

Evaluate

Height = 55

Question 12

The length BE is calculated as

BE : 3 = 10 : 12

Evaluate

BE = 4

Question 13

The scale factor of dilation (k) is calculated as

k = B/A

So, we have

k = 6/4

k = 1.5

Question 14

The perimeter of FGH is calculated as

Perimeter = 35 * 6/10

Perimeter = 21

Question 15

The value of x is calculated as

x : 10 = 24 : 16

So, we have

x/10 = 24/16

Evaluate

x = 15

Question 16

The length KL is calculated as

KL : 28 = 3 : 12

Evaluate

KL = 7

Question 17

The value of x is calculated as

x : 9 = 10 : 16

So, we have

x/9 = 10/16

Evaluate

x = 5.625

Question 18

The value of x is calculated as

x : 24 = 15 : 18

Evaluate

x = 20

Question 19

The scale factor of dilation (k) is calculated as

k = A'/A

So, we have

k = 3/1

k = 3

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line segment DE is also 10 inches long, matching the length of line segment AB.

If line segment AB is congruent to line segment DE, it means that they have the same length.

In this case, it is stated that line segment AB is 10 inches long.

Therefore, we can conclude that line segment DE is also 10 inches long.

Congruent segments have identical lengths, so if AB and DE are congruent, they must both measure 10 inches.

Thus, line segment DE is also 10 inches long, matching the length of line segment AB.

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b) the current number of shares is 1440, and the market value of your investment is $17,280.

To calculate the current number of shares and the market value of your investment, we need to take into account the stock splits and stock dividends.

Given:

Initial investment: $1,000

Initial number of shares: 200

Current price per share: $12

a. Calculate the current number of shares:

First, let's consider the stock splits and stock dividends:

1. 2-for-1 stock split:

This means that for each existing share, you now have two shares. So the number of shares is doubled.

New number of shares = Initial number of shares * 2 = 200 * 2 = 400 shares.

2. 20% stock dividend:

A 20% stock dividend means you receive an additional 20% of your current number of shares. To calculate the number of shares received:

Shares received = Current number of shares * (20% / 100%)

Shares received = 400 * (20 / 100) = 80 shares.

Total number of shares after the dividend = Current number of shares + Shares received = 400 + 80 = 480 shares.

3. 3-for-1 stock split:

This means that for each existing share, you now have three shares. So the number of shares is tripled.

New number of shares = Total number of shares after the dividend * 3 = 480 * 3 = 1440 shares.

The current number of shares you have is 1440.

b. Calculate the market value of your investment:

Market value = Current number of shares * Current price per share

Market value = 1440 * $12 = $17,280

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Answer:

movement in the tectonic plates in the crust, wind and water erosion, and deposition shapes the earth's surface

Step-by-step explanation:

Answer:

Plates at our planet's surface move because of the intense heat in the Earth's core that causes molten rock in the mantle layer to move. It moves in a pattern called a convection cell that forms when warm material rises, cools, and eventually sink down. As the cooled material sinks down, it is warmed and rises again.

Step-by-step explanation:

(windows2universe.com) source

Answer: x=68

Step-by-step explanation:

A. It’s asking what the last test must have to be (x) for all five tests to average out to an 80. This can be represent by:

(95+76+77+84+x)/5=80

The first four numbers are the existing test scores and x is the score you need. This is all divided by five so that you can find the average of all of these added together, which will equal 80, because that’s the grade you’re trying to get. Next, just solve for x:

= 95+76+77+84+x=80(5)

= 332+x=400

X=68

B. I got 74 for this one by using the same process as in part a, but I divided the left side by six and multiplied x by two: (95+76+77+84+2x)/6=80

But I’m not completely positive about this answer. A is definitely right though

The sum of Peter, Richard, and John's ages is 191.

We know that the ratio of Peter's age to Richard's age is = 5/8 --(i)

The ratio of John's age to Peter's age is = 7/12 --(ii)

Similarly, the ratio of John's age to Richard's age is = (5*7)/(8*12)= 35/96 -(iii)

Using the value of (i),(ii),(iii), we get -

Age of Peter = (5*12)/(8*12) = 60/96

= 60 years of age

Age of John = (7*5)/(12*5) = 35/60

=35 years of age

From the value of (iii), since no one is over 100 years of age, the age of Richard= 96 years of age

Hence the sum of their ages is = 96+35+60

= 191

Therefore, we know that the sum of their ages is 191.

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Theorem 6.11, also known as the parallelogram law, states that the sum of the squares of the lengths of the two diagonals of a parallelogram is equal to the sum of the squares of the lengths of all four sides. Mathematically, we can express this as:

\(AC^2 + BD^2 = AB^2 + BC^2 + CD^2 + DA^2\)

where AB, BC, CD, and DA are the four sides of the parallelogram, and AC and BD are the two diagonals.

To construct a parallelogram using Theorem 6.11, we can start by drawing two perpendicular lines intersecting at a point, which will be the point where the diagonals of the parallelogram intersect. We can then measure the lengths of these two perpendicular lines and use them as the lengths of the two diagonals of the parallelogram. We can then draw the two diagonals of the parallelogram and measure their lengths, and use Theorem 6.11 to calculate the lengths of the four sides of the parallelogram. Finally, we can draw the four sides of the parallelogram using these lengths.

Here is an example of how to construct a parallelogram using Theorem 6.11:

Draw two perpendicular lines that intersect at a point, and label the point of intersection as O.

Measure the lengths of the two perpendicular lines, and label them as AC and BD, which will be the lengths of the two diagonals of the parallelogram.

Draw the two diagonals of the parallelogram, AO and CO, and measure their lengths.

Use Theorem 6.11 to calculate the lengths of the four sides of the parallelogram:

\(AB^2 = AO^2 + BO^2 - 2(AO)(BO)\)cos(∠AOB)

\(BC^2 = BO^2 + CO^2 - 2(BO)(CO)\)cos(∠BOC)

\(CD^2 = CO^2 + DO^2 - 2(CO)(DO)\)cos(∠COD)

\(DA^2 = DO^2 + AO^2 - 2(DO)(AO)\)cos(∠DOA)

where ∠AOB, ∠BOC, ∠COD, and ∠DOA are the angles between the two diagonals and the sides of the parallelogram.

Draw the four sides of the parallelogram using the calculated lengths.

Note that there are many ways to construct a parallelogram, and Theorem 6.11 is just one of them.

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Answer: Willis will take 3 hours to paint the room by himself.

Step-by-step explanation:

Given: Time taken by James to complete job by himself = 6 hours

Let Time taken by Willis to complete job by himself = t hours

Together they take 2 hours.

\(\dfrac{1}{6}+\dfrac{1}{t}=\dfrac{1}{2}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{1}{6}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3-1}{6}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{2}{6}\\\\\Rightarrow\ t=\dfrac{6}{2}\\\\\Rightarrow\ t=3\)

So,  Willis will take 3 hours to paint the room by himself.

Answer:

rational

Step-by-step explanation:

Answer:

The length is 12

The area is 72\(cm^{2}\)

Step-by-step explanation:

3x + 7 = 5x -17  Subtract 3x from both sides

7 = 2x -17  Add 17 to both sdies

24 = 2x  Divide both sides by 2

12 = x

Area = length times witdth

Area = 6(12) = 72

Answer:

Step-by-step explanation:

part a):

6(3x+7)=6(5x-17)

part b):

18x+42=30x-102

42+102=30x-12x

144=12x

x=144/12

x=12

area = l x b

area = 6x{5(12)-17}

=6x(60-17)

=6x43

area=258cm2

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Answer:

Step-by-step explanation:

7.5 pounds divided by 14 days= 0.5357 pounds or 0.54

Answer:

684

Step-by-step explanation:

6-h-4+44

Answer:

The numbers are 36 and 68.

Step-by-step explanation:

Let the smaller number be x.

"The larger number is four less than two times the smaller

number."

The larger number is

2x - 4

The sum of the numbers is x + 2x - 4, or 3x - 4.

"The sum of the numbers is 104."

3x - 4 = 104

3x = 108

x = 36

The smaller number is 36.

The larger number is 2x - 4, or

2x - 4 = 2(36) - 4 = 72 - 4 = 68

The larger number is 68.

Answer: The numbers are 36 and 68.

the mean score in the 10 games the new coach leads the team must be 96.

What is mean?

In mathematics and statistics, the mean (also called the average) of a set of numbers is the sum of those numbers divided by the total number of numbers.

The sum of the scores in the 10 games played so far is:

78 + 79 + 79 + 80 + 83 + 83 + 85 + 86 + 87 + 90 = 840

To achieve a mean score of 90 for the entire season, the total score for all 20 games (10 played so far and 10 to be played under the new coach) must be:

20 x 90 = 1800

Since the team lost all 10 games played so far, the total score for the 10 games under the new coach must be:

1800 - 840 = 960

Therefore, the mean score in the 10 games the new coach leads the team must be:

960 / 10 = 96

So the team must average a score of 96 points per game in the 10 games played under the new coach in order to achieve a mean score of 90 for the entire season.

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Answer:

342

Step-by-step explanation:

Answer:

342

Step-by-step explanation:

If you were asking what 18 times 19 was thats the answer.

Answer:

Kelly's mistake is y > 2x-1

She can fix by the inequality: y ≥ 2x-1

Step-by-step explanation:

y ≥ 2x-1

y ≤ -x+5

y > 2x-1 should be greater than less than; y ≥ 2x-1 to point (2,3)

Answer:

V≈268.08

Step-by-step explanation:

Answer: 256 inch ^ 3

Step-by-step explanation:

They gave you the formula to solve it

V = 4/3 (3) R ^ 3   /// You already have the radius, just plug it in the formula.

V = 4/3 (3) 4 ^ 3

V = 4/3 (3) 64

V = 4/3 193

V = 256

The answer is 256 inch ^3

Normally Pi is 3.14 in its simplified form but it tells you to use 3 in this situation.

The values of k for local maxima is k = 1 and k = -1

The given function is,

   f(x) = kx⁴ - 2k³x²

⇒ f'(x) = 4kx³ - 4k³x

⇒f''(x) = 12kx² - 4k³

To find a local maximum at x = 1, we need f'(1) = 0 and f''(1) < 0.

Therefore, set  f'(1) = 0,

⇒4k(1)³ - 4k³(1) = 0

⇒4k - 4k³ = 0

⇒4k(1 - k²) = 0

From this, we can see that either k = 0 or k = ±1.

However, we have to check the second derivative to determine if these are local maximums,

⇒f''(1) = 12k(1)² - 4k³

For k = 0, f''(1) = 0, which means there isn't a local maximum.

For k = 1, f''(1) = 8 < 0, which means there is a local maximum.

For k = -1, f''(1) = -8 < 0, which means there is also a local maximum.

Therefore,

The values of k that give a local maximum at x = 1 are k = 1 and k = -1.

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Answer:

(-2,8) (0,4) (2,3) (4,2)

Step-by-step explanation:

Answer:

There were 257 children and 365 adults at the public pool.

Step-by-step explanation:

Let the number of children and adult be x and y respectively,

x+y = 622

1.5x+2y = 1115

Now,

x+y = 622

or, x = 622 - y

Now,

1.5x + 2y= 1115

or, 1.5(622-y) + 2y = 1115

or, 933 - 1.5y + 2y = 1115

or, 933 + 0.5y = 1115

or, 0.5y = 1115-933

or, 0.5y = 182

so, y = 182/0.5

so, y = 365

Now,

x+y = 622

or, x + 365 = 622

so, x = 257

the problem shows a larger triangle that has been divided into two smaller ones, via a spliting of an acute angle into two different size angles one 52 degrees and the other one 31 degrees.

Notice as well that these two smaller triangles have two congruent sides :

AC = AB, and alsoa common side AD.

Then, we can say that the angle wich measures 52 degrees and opposes side BD (which measures 12) has a bigger opening than the angle 31 degrees, and bearing as well the same length of the sides that conform those angles, is definitely going to have a LARGER opposite side than angle 31 degrees.

Then we can write the following first inequality:

opposite side to 52 degrees > opposite side to 31 degrees, which in math expression using the sides measures, give:

12 > 2 x - 6

and we proceed to solve for x in the inequality

add 6 to both sides

12 + 6 > 2 x

divide by 2 both sides (notice that since 2 is positive, the division doesn't change the direction of the inequality)

18 / 2 > x

9 > x

which is the same as:

x < 9

So we have one of the endpoints.

For the other limit for the smaller side (to the left) we use the fact that for sure, the side opposed to 31 degrees angle must be larger than "0" (zero) independent of the lengths of sides AC and AD. So we write this and use the expression for side DC that they give us:

2 x - 6 > 0

add 6 to both sides

2 x > 6

divide both sides by positive 2

x > 6 / 2

x > 3

So, now we put together the conditions for the values we found for the minimum and maximum that x can reach:

3 < x < 9

Please, type these answers in the provided boxes.

The coordinates of point N are approximately (16.52, 14.912).

To find the coordinates of point N, we need to use the ratio of LM:MN, which is given as 3:4.

Let's start by calculating the distance between points L and M using the distance formula:

Distance LM = √[(\(x2 - x1)^2 + (y2 - y1)^2]\)

= √[(\(5 - (-4))^2 + (8 - 3)^2]\)

= √[\(9^2 + 5^2]\)

= √[81 + 25]

= √106

≈ 10.296

Now, let's consider the ratio of LM:MN. We have LM = 10.296 and the ratio is 3:4.

Since the ratio of the lengths LM:MN is 3:4, we can express the length MN as (4/3) times the length LM:

MN = (4/3) * LM

= (4/3) * 10.296

≈ 13.728

Now, to find the coordinates of point N, we need to move 13.728 units from point M in the same direction as LM. Since LM is a straight line, we can calculate the change in x and y coordinates and add them to the coordinates of point M.

Change in x = (13.728 / 10.296) * (5 - (-4))

≈ 11.52

Change in y = (13.728 / 10.296) * (8 - 3)

≈ 6.912

Coordinates of N = (5 + 11.52, 8 + 6.912)

= (16.52, 14.912)

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Answer:

m = 1/2

Step-by-step explanation:

As we move from M to N, the x-coordinate increases from -6 to 2, a jump ('run') of 8 units.  Likewise, the y-coordinate increases from 1 to 5, a jump of 4 units.  The slope of the line passing through these two points is thus

m = rise / run = 4/8 = 1/2