PQRS is a rhombus. Find QR.
Will give points!!

PQRS Is A Rhombus. Find QR.Will Give Points!!

Answers

Answer 1

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

As we know, all sides of a Rhombus are equal to each other ~ so we can conclude that :

[tex]\qquad \sf  \dashrightarrow \:4x - 16 = 2x + 6[/tex]

[tex]\qquad \sf  \dashrightarrow \:4x - 2x = 6 + 16[/tex]

[tex]\qquad \sf  \dashrightarrow \:2x = 22[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 22 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 11[/tex]

Now, plug in the value of x in any equation to get the side length of rhombus ~

[tex]\qquad \sf  \dashrightarrow \:2x + 6[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(11) + 6[/tex]

[tex]\qquad \sf  \dashrightarrow \:22 + 6[/tex]

[tex]\qquad \sf  \dashrightarrow \:28 \: \: units[/tex]

Side PS = Side QR = 28 units


Related Questions

PLEASE HELPPPPPPP

What is the approximate area of the shaded region?

Answers

Answer:

69.53

Step-by-step explanation:

I did it on my calculator.

Drag the tiles to the correct boxes to complete the pairs. Match each inequality to the number line that represents its solution

Answers

The correct match of the inequalities will be given as:-

A   ( x - 51 ≤ 43

B   ( x -99 ≤ -104

C  ( 75 <  69 - x )

D  ( 150+x ≤ 144 )

What is inequality?

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The correct pair of the inequality will be calculated as:-

A   ( x - 51 ≤ 43)            x ≤ 8

B   ( x -99 ≤ -104          x  ≤ -5

C  ( 75 <  69 - x )         x < -6

D  ( 150+x ≤ 144 )         x ≤ -6

Hence the correct order is explained above.

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Monday
The solution of 87e0.3x = 5918, to the nearest
thousandth, is
A. 0.583
B. 1.945
C. 4.220
D. 14.066

Answers

Answer:

[tex]D) ~ 14.066[/tex]

Step-by-step explanation:

[tex]~~~~87e^{0.3x} = 5918\\\\\implies e^{0.3x} = \dfrac{5918}{87}\\\\\implies \ln\left(e^{0.3x} \right)=\ln \left( \dfrac{5918}{87} \right)\\\\\implies 0.3x \ln e = \ln \left( \dfrac{5918}{87} \right)\\\\\implies 0.3x = \ln \left( \dfrac{5918}{87} \right)\\\\\implies x = \dfrac{\ln \left( \dfrac{5918}{87} \right)}{0.3}\\\\\implies x \approx14.066[/tex]

Help pleaseeeee. ill give 10 points
a sample of the students at a middle school is selected by writing the name of every student in the school on a slip of paper and putting all the names into a bin. the bin is then rotated to mix the slips of paper and 25 names are drawn without looking. if the bin is rotated after every draw, which kind of sampling method is this?

a. non-random sampling
b. simple random sampling
c. stratified random sampling
d. systematic random sampling

Answers

Answer:B

Step-by-step explanation: it's because you're choosing random peoplepeoplepeople

PLEASE HELP ME. NO PHONY ANSWERS TY, ANSWER IF YOUR 100% RIGHT!
A sample of 317 students at a university is surveyed. The students are classified according to gender ("female" or "male"). They are also classified
according to major ("biology", "business", "engineering", "mathematics", or "computer science"). The results are given in the contingency table bel
Biology Business Engineering Mathematics
Computer science
Female 17
22
27
36
41
Male
19
45
29
34
47
Among all the students in the sample, what is the relative frequency of female mathematics majors?
Round your answer to two decimal places.
0
X
?

Answers

The relative frequency of female mathematics majors will be 0.5142.

How to find the relative frequency?

The proportion of the examined subgroup's value to the overall account is known as relative frequency.

A sample of 317 students at a university is surveyed.

The students are classified according to gender (“female” or “male”).

The table is given below.

Then the relative frequency of female mathematics majors will be

⇒ 36 / (36 + 34)

⇒ 36 / 70

⇒ 0.5142

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1. Solve the equation 2x ^ 3 + 7x ^ 2 - 10x - 24 = 0 in the real number system

Answers

The solution to the given equation in the real number system is x = 2 or x = -4 or x = -3/2

What is a real number system?

A real number system comprises rational numbers, irrational numbers, integers, and whole numbers. When solving a polynomial in a real number system, we need to first factor the polynomial by grouping;

i.e.

= 2x³ + 7x ² - 10x - 24

= 2x³ + 11x² + 12x - 4x² - 22x - 24

= x(2x² + 11x + 12) - 2(2x² + 11x + 12)

= (x - 2) (2x² + 11x + 12)

= (x - 2) (2x² + 8x + 3x + 12)

= (x - 2) (2 (x² + 4x) + 3(x + 4))

= (x - 2) (2x (x + 4) + 3(x + 4) )

= (x - 2) (x + 4) (2x + 3)

In a real number system;

x = 2 or x = -4 or x = -3/2

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What is the area of a regular pentagon with a side of 10 in.? round the answer to the nearest
tenth.
96.3in^2
172.0in^2
344.1in^2
192.6in^2
dont respond with a link!!!!!!

Answers

The area of the regular pentagon given a side of 10 in is 172.0 in².

What is the area?

A pentagon is an object that is made up of five sides. The sum of the internal angles of a pentagon is 540 degrees.

Area of a pentagon = 1/4√[tex]\sqrt{5 ( 5 + 2 \sqrt{5} ) }[/tex] a²

Where a = side = 10

A = 1/4√[tex]\sqrt{5 ( 5 + 2 \sqrt{5} ) }[/tex] 10²

A = 172.02 in²

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Simplify the expression (5 ÷ 5) + 5x (5²-5)

Answers

Hope this helps! Let me know if you need anything.

show that 12 cos 30 +2tan 60

Answers

Answer:

cant draw on this

Step-by-step explanation:

show the problem

If C=m+1C=m+1 and B=m+5,B=m+5, find an expression that equals 2C+3B2C+3B in standard form.

Answers

The value of the expression 2C+3B is 5m + 7

How to evaluate the expression?

The given parameters are:

C = m + 1

B = m + 5

To evaluate the expression 2C+3B;

We substitute C = m + 1 and B = m + 5

So, we have:

2C+3B = 2 * (m + 1) + 3 * (m + 5)

Expand

2C+3B = 2m + 2 + 3m + 15

Evaluate the like terms

2C+3B = 5m + 7

Hence, the value of the expression 2C+3B is 5m + 7

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Find the value of each card and put them in order, from lowest to highest.

Answers

think it should just be A B D C not sure though, try it

Answer:

The highest is 1 but i cannot work out the rest

Step-by-step explanation:

Bidmas

Select all the correct graphs.
Choose the graphs that indicate equations with no solution.

Answers

The graphs with no solutions are the ones with no intercepts between the curves. These are the first one and the last one.

Which graphs indicate equations with no solutions?

If we have an equation like:

f(x) = g(x).

One way of finding the solutions is to graph:

y = f(x) and y = g(x) and see where the two curves intercept.

From that, the graphs where the curves do not intercept are the graphs that indicate that the equations have no solutions.

The two graphs with no intercepts are the first one (top left) and the last one (bottom right), so these are the correct options.

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Answer:

kid named finger

Step-by-step explanation:

I simply just used a form of alien math solving and I got my answers but I'm not willing to share

Which represents a perfect cube? 8 times 8 times 8 8 8 8 9 times 9 times 9 times 9 9 9 9 9 9

Answers

Answer:

by o of u 999987ui87 u ko9h u kgnnh b mjuokkwuij

Ten years ago, you invested most of the money you made during that summer into an Energy drink stock. You purchased $8,000 dollars worth of stock and it was initially projected to continuously compound by 2%. However, the Energy drink stock consistently declined by 3.65% each year until the present.
a) Write an equation to model this situation.
b) Estimate the value of the stock today. How much did you gain/lose?
c) Assuming the stocks rate of decline remains the same, approximate the number of years it will take for the value of the stock to
decrease by half.

Answers

A) the equation that models the situation is 8000 x 0.9635 ^ Years = Value, B) the value of the stock today is $5515.78, so I lost $2484.22, and C) it will take more than 18 years for the stock to decrease by half.

Equations

Given that ten years ago, you invested most of the money you made during that summer into an Energy drink stock, and you purchased $8,000 dollars worth of stock and it was initially projected to continuously compound by 2%, but, however, the Energy drink stock consistently declined by 3.65% each year until the present, for a) Write an equation to model this situation, b) Estimate the value of the stock today and how much did you gain/lose, and c) Assuming the stock rate of decline remains the same, approximate the number of years it will take for the value of the stock to decrease by half, the following calculations must be made:

A) 8000 x 0.9635 ^ Years = ValueB) 8000 x 0.9635^10 = X8000 x 0.6894 = X5515.78 = XC) 8000 x 0.9635 ^ X = 40008000 x 0.9635^18.64 = 4000

Therefore, A) the equation that models the situation is 8000 x 0.9635 ^ Years = Value, B) the value of the stock today is $5515.78, so I lost $2484.22, and C) it will take more than 18 years for the stock to decrease by half.

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Answer:

A) the equation that models the situation is 8000 x 0.9635 ^ Years = Value, B) the value of the stock today is $5515.78, so I lost $2484.22, and C) it will take more than 18 years for the stock to decrease by half.

Step-by-step explanation:

The focus of a parabola is (2, 5) and the directrix is y = 3. Find the equation of the parabola in standard form.

Answers

The equation of the parabola in standard form whose focus is (2, 5) and directrix is y = 3 is equal to the quadratic equation y = 0.25 · x² - x + 5. (Correct answer: C)

How to derive the equation of a parabola

Since the directrix is a horizontal line, then we have a parabola with a vertical axis of symmetry. The standard equation of the parabola is described below:

y - k = [1/(4 · p)] · (x - h)²     (1)

Where:

(h, k) - Location of the vertex.p - Distance between vertex and focus.

By analytical geometry we understand that the least distance between the focus and the directrix is twice as the distance between the vertex and the focus. First, we find the coordinates of the vertex:

V(x, y) = 0.5 · F(x, y) + 0.5 · D(x, y)

V(x, y) = 0.5 · (2, 5) + 0.5 · (2, 3)

V(x, y) = (1, 2.5) + (1, 1.5)

V(x, y) = (2, 4)

By Pythagorean theorem we find that the distance between vertex and focus is 1. Then, the equation of the parabola in standard form is:

y - 4 = 0.25 · (x - 2)²

y - 4 = 0.25 · (x² - 4 · x + 4)

y - 4 = 0.25 · x² - x + 1

y = 0.25 · x² - x + 5

The equation of the parabola in standard form whose focus is (2, 5) and directrix is y = 3 is equal to the quadratic equation y = 0.25 · x² - x + 5. (Correct answer: C)

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Simplify:
4 + (15 - 14) x 6

Answers

Answer:

First you start with what is in the ( ). 15- 14 is 1. then you do multiplication next. 1* 6. is 6. now you do addition. 6 + 4 = 10

Which equation represents a linear function That is shown on the graph below?

Answers

The second one I believe because it’s basiclalu going up one half everytime to get to one


Sonya's heart rate was 76 beats per minute.
She ran a mile on her treadmill and checked
her heart rate again. This time, her heart rate
was 133 beats per minute. What was the
percent increase in Sonya's heart rate?

Answers

Answer:

75 percent

Step-by-step explanation:

To find percent increase, do (final-initial/initial) * 100.

This would be 133-76/76 * 100, meaning you get a 75 percent increase.

The percent increase is 75 %.

What is Percent increase?

The ratio of the increased value to the original value, multiplied by 100, is the percentage increase formula. It is outlined as a percentage. Anything's value will increase if it is valued more, so will its proportion.

Given:

Sonya's heart rate was 76 beats per minute.

After running, heart beat rate= 133  beats per minute.

So, percent increase

= (133- 76)/ 76 x 100

= 0.75 x 100

= 75%

Hence, the percent increase is 75 %.

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calculate mpg for w=1000,w=2000;calculate weight when mpg=30

Answers

Based on the information above, the car with 1,000 pounds more will only go 1,194 miles, and the one with 2,000 pounds more will only go 1,188 miles.

What does MPG stand for?

MPG stands for miles per gallon, and refers to the distance in miles a vehicle travels for each gallon of fuel in its tank.

In general, a car consumes about 1,200 miles per gallon. However, when you add load to it, its fuel consumption is higher because it requires more force to move.

Additionally, some studies state that for every 1,000 pounds of weight added to the car, it will yield 0.5% less. So if the car has 1,000 more pounds, it's not going to go 1,200 miles per gallon, it's going to go 1,194 miles.

On the other hand, if 2,000 pounds of weight were added, the fuel economy would be 1% less, that is, it would travel 1,188 miles per gallon.

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Find the product using Distributive property. 625 x 129 – 625 x 90​

Answers

Answer:

63,750

Step-by-step explanation:

1. Simplify the expression

625*192-625*90

120000-625*90

120000-56250

63750

What is distributive propertyAn algebra property which is used to multiply one integer by one or more other integers inside a set of parentheses.What are order of operations The order in which operations in an expression to be evaluated are carried out.

Why learn this:

Order of operations is a basic rule of algebra. It tells us what to solve first when we have an equation with multiple functions, which is something that you will likely encounter throughout your maths studies. The order is: Parentheses, Exponents, Multiplication and Division, then finally Addition and Subtraction. Remember that when you're solving within the parentheses, the Order of Operations applies!

Terms and topics

Order of operations

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\textbf{Assuming that you meant}\bf\downarrow[/tex]

[tex]\mathbf{625\times129 - 625\times90}[/tex]

[tex]\large\textbf{If so, let's solve for the answer, shall we?}[/tex]

[tex]\mathbf{= \boxed{\bf 80,625} - 625\times90}[/tex]

[tex]\mathsf{= \bf 80,625 - \boxed{\bf 56,250}}[/tex]

[tex]\mathbf{= 80,625 - 56,250}[/tex]

[tex]\large\textbf{We have met your answer to this question.}[/tex]

[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{24,375}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

please help with math

Answers

Answer:

34

Step-by-step explanation:

3*(2*2*2)+10

3*(8)+10

24+10

34

Answer:
34
Step-by-step explanation:
3*(2*2*2) +10
3* (8) +10
24+10
34

Write a definition for alternate interior angles.

Answers

Answer:

Alternate interior angles are the angles formed on the opposite sides of the transversal. In other words, when two parallel lines are intersected by a transversal, eight angles are formed.

Step-by-step explanation:

I hope this checks out

Question 2 of 40
How much more will $16,500 earn in interest than $15,000 if both are
invested in savings accounts with APYS of 4.1% for a year?
OA. $61.50
OB. $156.15
OC. $52.05
OD. $20.50

Please do step by step as to how you got the answer

Answers

Answer:

A

Step-by-step explanation:

We are asked to find the amount of interest earned on $16,500 than $15,000 with APYs of 4.1% for a year.

We will use simple interest formula to solve our given problem.

I= prt

i= amount of interest

p=principal amount

r= interest rate in decimal form

t= time in years

4.1%=  41/100= 0.041

$16,500 times 0.041 -  $15,000 times 0.041

(16,500- 15,000) times 0.041

(1,500) times 0.041

So the answer is $61.50

I hope this is right, have a nice day.

What is the value of x
If you know how to solve please show work! Please help

Answers

Answer:

35

Step-by-step explanation:

x+8+243/2

x+251/2

x+251/2=4x+3

cross multiply

x+251=2(4x+3)

x+251=8x+6

x-8x=6-251

-7x=-245

x=-245/-7

x=35

What two congruent triangles share the side AC?

△AEB and △CEB
△GFA and △GDC
△ADC and △CFA

Answers

The two congruent triangles that share the side AC are (c) △ADC and △CFA

How to determine the congruent triangles?

For two triangles to share the sides AC, then the points A and C must appear on the names of the triangles

In option (c), we have A and C in the names of the triangles ADC and CFA

Hence, the two congruent triangles that share the side AC are (c) △ADC and △CFA

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If you apply the changes below to the quadratic parent function, f(x) = x2², what is the equation of the new function? Shift 3 units right. Vertically stretch by a factor of 4. • Reflect over the x-axis. O A. g(x) = 4x² + 3 OB. g(x) = -4(x - 3)² O C. g(x) = -4(x+3)² O D. g(x) = (-4x - 3)²​

Answers

Answer:

B. g(x) = -4(x - 3)²

Step-by-step explanation:

Given :

f(x)  = x²

On shifting 3 units right :

g(x) = (x - 3)²

On stretching vertically by a factor of 4 :

g(x) = 4(x - 3)²

On reflecting over the x-axis :

g(x) = -4(x - 3)²
y=x²

Vertically strech by 4 means it's should be multiplied with -a and a =4

So

y=-4x²

Shifted 3 units right means change in x

So

it should be

-4(x-3)²

Option B

Find the slope of the line passing through (-8, 10) and (-8, -7).

Answers

(-8,10)(-8,-7)

Slope:-

[tex]\\ \rm\dashrightarrow m=\dfrac{-7-10}{-8+8}[/tex]

[tex]\\ \rm\dashrightarrow m=\dfrac{-17}{0}[/tex]

[tex]\\ \rm\dashrightarrow m=\infty[/tex]

[tex] \frac{y2 - y1}{ x 2 - x1} \\ \frac{ - 7 - 10}{ - 8 + 8} \\ \frac{ - 17}{0} [/tex]

Slope is undefined


You speak to a business owner that is taking in almost $2,000 in revenue each month. The owner still says that they're
having trouble keeping the doors open. How can that be possible? Use the terms revenue, expenses, and profit/loss in
your answer.

Answers

Answer:

The reason why this may be happening is because the expenses may be higher than the amount of revenue that the business is making, the cost of rent, paying the employees and running the business may be higher than the revenue that is being made. The inflows may be higher than the outflows, in which case the profit is lower than the loss and may be the reason why the owner is having trouble keeping the business running.

Every Fraction can be written as a decimal that will be either a/an________ decimal number or a/an _________ decimal number

Answers

Answer:

Every fraction can be written as a decimal that will be either a decimal number or a decimal number

Hehe hope its helpful :-P

Can somebody solve this please?

Answers

Answer:

220

Step-by-step explanation:

Now, I'm not sure if 220 is correct, but I'll explain my reasoning.

We know three angles of a triangle add up to 180 degrees.

So, the smaller triangle has 70 degrees and a and b variables. By virtue, a + b + 70 = 180.

So, a + b = 110.

Likewise, when you look at the whole triangle, 70 degrees is also one of the angles while c and d are unknown.

So, c + d + 70 = 180.

This means c + d = 110.

So, (a + b ) + (c + d ) =

110 + 110 =

220 degrees.

I hope this helps!

Answer:

110

Step-by-step explanation:

a + b + c + d = 110

Triangle will always equal 180 degrees triangle = 180

180 - 70 = 110

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