Find the values of x and y in parallelogram PQRS.

PT=​y, TR=4x+​1, QT=2​y, TS=5x+8

Find The Values Of X And Y In Parallelogram PQRS.PT=y, TR=4x+1, QT=2y, TS=5x+8

Answers

Answer 1

The values of x and y in parallelogram PQRS are x =2 and y = 9

How to determine the values of x and y in parallelogram PQRS

From the question, we have the following parameters that can be used in our computation:

The parallelogram

On the parallelogram, we have the following readings

PT=​y, TR=4x+​1, QT=2​y, TS=5x+8

Rewrite them as

PT= ​ y

TR = 4x + ​1

QT = 2​y

TS = 5x + 8

Because the point T is the midpoint of the parallelogram, we have

PT = TR

QT = TS

Substitute the known values in the above equation, so, we have the following representation

y = 4x + 1

2y = 5x + 8

This means that

8x + 2 = 5x + 8

Evaluate the like terms

3x = 6

So, we have

x = 2

Substitute x = 2 in y = 4x + 1

y = 4 x 2 + 1

So, we have

y = 9

Hence, the values are 2 and 9

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Mason worked at the water park over the summer. He made $425 in June and $680 in July if he made twice as much money in august as he did june. What is the ratio of money earned in august to July

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The ratio of money earned in August to July is 5/4.

Now, According to the question:

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A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.

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Find the lengths of the diagonals of rectangle WXYZ.
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The length of each diagonal is √(196x^2 + 816x + 324) units.

What is the formula for diagonal length?

The diagonal of a rectangle can be estimated using the hypotenuse formula, such as using the Pythagorean theorem calculator.

WX^2 = WY^2 + XZ^2

Given that WY = 14x + 10 and XZ = 11x + 22, we can substitute those values in the equation:

WX^2 = (14x + 10)^2 + (11x + 22)^2

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WX = √(196x^2 + 816x + 324)

The same goes for the other diagonal, WZ.

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So, the length of each diagonal is √(196x^2 + 816x + 324) units.

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The explicit formula for the sequence -28, -31, -34, -37, ..., is aₙ= -28 -3d.

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Given:

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The general formula of an arithmetic sequence:

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First, we will find the common difference between consecutive terms.

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Answer:

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equation form is: x = -7, y = 2

Step-by-step explanation:

add the equations in order to solve for the first variable. plug this value into the other equations in order to solve for the remaining variables

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A+school+is+going+on+a+trip.+There+will+be+3+buses+to+take+students.+On+each+bus,+there+are+80+seats.+Teachers+will+sit+in+3+of+the+seats+on+each+bus.+How+many+seats+are+available+for+students+on+the+buses? A. 240 B. 231 C. 83 D. 77

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The solution is Option B.

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Given data ,

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A line starts at (negative 2, 0), goes to (5, question mark), and then goes down to (6, 0).
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Answers

What the height would need  for this curve to be a density curve is; One-half

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Now, we are told that the curve starts at (-2, 0) and then goes to (5, question mark), and then goes down to (6, 0),.

This means that the area under the curve will be a trapezoid that has a height of question mark and then bases of length 3 (from -2 to 5) and length 1 (from 5 to 6).

The area of this trapezoid will be equal to the sum of the bases times the height divided by 2, or:

Area = ((3 + 1) × question mark)/2

Since the area under the curve must be equal to 1, we can set up the equation:

1 = ((3 + 1)  ×  question mark) / 2

Solving for question mark, we will:

The question mark = 2/4

The question mark = 1/2

Therefore, we can conclude that the height of the curve is  1/2

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20 Basketball players form teams of 5 players each player can play any position how many teams of 5 players can be formed?

Answers

Answer:

4

Step-by-step explanation:

:)

PLEASE HELP ASAP I WILL GIVE BRAINLIEST!!!

Answers

Answer:

try -5

Step-by-step explanation:

mainly because it says -3 plus 5 and there's only 4 and 5 so It can't really go further

Answer:try -5

Step-by-step explanation:

mainly because it says -3 plus 5 and there's only 4 and 5 so It can't really go further

Please help fast.

Will mark brainliest.

Answers

Answer:

Both

Step-by-step explanation:

You can find both from the given 85

the answer is both which is C hope this helps
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