Points X, Y, and Z are on the sides QR , PR, and PQ respectively, of right triangle PQR such that PZXY is a square. If PQ=1 and PR=1, then what is the side length of the square?

Answers

Answer 1

Answer:

Step-by-step explanation:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Triangles PQR and ZQX are similar!

Square side => a

XZ / (PQ - PZ) = PR / PQ

a / (12 - a) = 8 / 12

a = 4.8

Answer 2

The side length of the square PZXY is sqrt(2).

What is a square?

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side².

We have,

Since triangle PQR is a right triangle, we can use the Pythagorean theorem to find the length of QR:

QR² = PQ² + PR²

QR² = 1² + 1²

QR² = 2

QR = √2

Since PZXY is a square, its sides are equal in length.

Let's denote the length of one side of the square as s.

Then, we can write:

PR = PX + RX

1 = s + QY

Since QY = PZ = s and PX = QX = QR - QY = sqrt(2) - s,

we can substitute these values into the equation for PR to get:

1 = s + (√2 - s)

1 = √2

Therefore,

The side length of the square PZXY is √2.

Learn more about squares here:

https://brainly.com/question/22964077

#SPJ2


Related Questions

(n-8)-(-2-2n) = what?

Answers

Answer:

3n−6

Step-by-step explanation:

n−8−(−2−2n)

Distribute the Negative Sign:

=n−8+−1(−2−2n)

=n+−8+(−1)(−2)+−1(−2n)

=n+−8+2+2n

Combine Like Terms:

=n+−8+2+2n

=(n+2n)+(−8+2)

=3n+ (−6 )

ANSWER:

3n−6

Go subscribed to flamingo on you tube



btw this is a joke pls dont take down this answer :( also first to answer gets brainiest

Answers

Answer:

i got u homie

Step-by-step explanation:

Answer:

Sure.

Step-by-step explanation:

Plz give me brainliest

need help real baddddddddddddd

need help real baddddddddddddd

Answers

Answer:

x≥2 and x<2 : ∅

x≥2 or x<2 : All real numbers

x≤2 and x≥2 : 2

Step-by-step explanation:

the first one must follow both conditions, so no number would work.

the second one works with any number, so all real numbers.

the third one has only one condition that works, 2

4x+7=23. explain the steps you would use to solve the equation for x.​

Answers

Answer:

x=4

Step-by-step explanation:

1. isolate the variable by subtracting 7 on both sides: 4x=23-7

2. simplify: 4x=16

3. divide both sides by 4: x=16/4

4. simplify: x=4

Answer:

x=4

Step-by-step explanation:

4x+7=23

Collect like terms

4x=23-7

4x=16

Divide both sides by the co-efficient of x

4x/4=16/4

x=4

I don't know What 5 + x + 3 simplified is, help me please?

Answers

Answer:

5+x+3 simplified is x+8

Step-by-step explanation:

when you simplify something, you combine terms and write it in the simplest way you can. So combine 5 and 3 to get 8, and then the final answer of x+8

Answer: x+8

Step-by-step explanation:

"5 + x + 3" can be simplified by combining the numerical terms, which are 5 and 3, to get 8.

Then, just rewrite the expression as "x + 8." Therefore, "5 + x + 3" simplified is just "x + 8".

Please help my grades come out soon

Please help my grades come out soon

Answers

The answer to the last problem, would mean that the right answer would be B. 0 ≤ m ≤ 500

what is the 3/8 of 27 ?​

Answers

Answer:

10.125

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf 10\frac{1}{8}}\)

Step-by-step explanation:

Given expression:

\(\displaystyle = \frac{3}{8} of \ 27\)

"of" means "to multiply"

\(\displaystyle = \frac{3}{8} \times 27\\\\= \frac{3 \times 27}{8} \\\\= \frac{81}{8} \\\\= 10\frac{1}{8} \\\\\rule[225]{225}{2}\)

Agriculturists in a certain state claim that 43% of the residents in the northern portion of the state prefer flour tortillas
over com tortillas, while 59% of the residents in the southern portion of the state prefer flour tortillas over corn
tortillas. Suppose random samples of 33 northerners and 41 southerners are selected. Let N and , be the sample
proportions of northern and southern residents of this state, respectively, who would prefer flour tortillas over corn
tortillas.
Which of the following is the mean of the sampling distribution of N-s?
O-0.16
O-0.08
O 0.16
O 0.51

Answers

Answer:

A  -0.16

Step-by-step explanation:

I got it right on edge

Agriculturists in a certain state claim that 43% of the residents in the northern portion of the state

PLEASE ANSWER UNDER 5 MIN!!!! ily!!!!

what is the period of the sinusoidal function? enter your answer in the box.

PLEASE ANSWER UNDER 5 MIN!!!! ily!!!!what is the period of the sinusoidal function? enter your answer

Answers

Answer:

Step-by-step explanation:

10

Ws

Christina has 2 2/3 bags of chips. She gives 2/5 of the to friend. How many bags does christina have left?

Answers

Answer:

1  3/5 bags left

Step-by-step explanation:

If she gives 2/5 away, she keeps 3/5

3/5  *  2 2/3 = 3/5 * 8/3 =   24/15  = 1 9/15  = 1 3/5 bags left

Use the following calculator output to determine the mean and standard deviation of a sample.
The mean is
1-Var Stats
tats
x=6.25
Ex=50
Ex²=344
The standard deviation is
Sx=2.121320344
ox=1.984313483
Your answers should be numerical values. If necessary, round to the nearest hundredth.
n=8

Answers

The standard deviation of the sample, using the sample standard deviation (ox), is approximately 1.98.

Based on the provided calculator output, we have the following information for a sample:

x = 6.25 (mean)

Ex = 50 (sum of all data points)

Ex² = 344 (sum of the squares of all data points)

Sx = 2.121320344 (standard deviation)

ox = 1.984313483 (sample standard deviation)

n = 8 (sample size)

To calculate the mean, we divide the sum of all data points (Ex) by the sample size (n):

Mean = Ex / n = 50 / 8 = 6.25

Therefore, the mean of the sample is 6.25.

To calculate the standard deviation, we have two options: Sx or ox. Both represent measures of dispersion.

Sx is the population standard deviation, while ox is the sample standard deviation.

If we use the sample standard deviation (ox), then the standard deviation is:

Standard Deviation = ox = 1.984313483 (rounded to the nearest hundredth)

Therefore, the standard deviation of the sample, using the sample standard deviation (ox), is approximately 1.98.

It's important to note that the values provided are rounded to the nearest hundredth as specified in the instructions.

For similar question on standard deviation.

https://brainly.com/question/12402189  

#SPJ8

Evaluate y = 3x for x = 2.

Answers

Answer:

y2

Step-by-step explanation:

this is my answer

i hope it helps you

help me please im lost​

help me please im lost

Answers

f ( x ) = 1 / x - 2

g ( x ) = 4 / x

_________________________________

( f o g )( x ) = f ( g(x) )

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

f ( g(x) ) = 1 / ( 4 / x ) - 2

f ( g(x) ) = x / 4 - 2x

help please? <3 asap​

help please? &lt;3 asap

Answers

Answer:b

Step-by-step explanation:

Answer:

It is b because it just makes the most scence

Which equation shows y-5=x converted to slope intercept form.

Which equation shows y-5=x converted to slope intercept form.

Answers

Answer:

C) y = x + 5

Step-by-step explanation

Add 5 to both sides

What is the reference angle for 292°?
O A. 12°
O B. 22°
O C. 68°
O D. 78°

Answers

C. 68°

292° lies on 4th quadrant.

Reference angle:

1st quadrant: angle

2nd quadrant: 180° - angle

3rd quadrant: angle - 180°

4th quadrant: 360° - angle

So, reference angle: 360° - 292° = 68°

Find the quotient of 5 1/2 and 1/8

Answers

Answer:

5.625

Step-by-step explanation:

5 1/2 + 1/8 = 5 5/8 = 5.625

Graphing linear equations and inequalities 3Y minus 2X equals nine

Answers

Answer:

The answer in the pictures

Graphing linear equations and inequalities 3Y minus 2X equals nine
Graphing linear equations and inequalities 3Y minus 2X equals nine

Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line

Answers

Answer is C) it is located between the numbers 2 and 3 on the number line

Explanation

The square root of a number is “what number times itself”

2 x 2 = 4

3 x 3 = 9

7 is between 4 and 9 so C is the correct answer

Find the quotient: 8 ÷ 0.5 tou done the quotient by ask jow many are in 8

Answers

Step-by-step explanation:

8 ÷ 0.5 = 16

Quotient = 16

what are the numerical and literal coefficients of -5x3 y

Answers

Answer:

the numerical are -5 and 3

the literal coefficient is X and y

Step-by-step explanation:

because numerical is the number and literal coefficients is a variable that represents the number

hope it help

A car used 1/64 of a gallon of gas to drive 1/4 of a mile. At this rate, how many miles can the car travel using 1 gallon of gas?

Answers

Answer:

16 mi

Step-by-step explanation:

To find how many miles you could travel with one gallon, you want to multiply both sides of the equation by 64. This will make '1/64' to 1, so the answer should be 1/4 * 64 = 16.

I need help with this problem

I need help with this problem

Answers

20.25 square units are enclosed between the two curves.

How to find area?

To find the area enclosed between the two curves, find their intersection points first.

Setting the equations equal to each other:

8x² - x³ + x = x² + 13x

Simplifying and rearranging:

x³ - 7x² - 12x = 0

Factoring out x:

x(x² - 7x - 12) = 0

Solving for x using the quadratic formula:

x = 0, x = 3, x = -4

The two curves intersect at x = 0, x = 3, and x = -4.

Next, determine which curve is on top of the other between these intersection points. We can do this by comparing their y-values for each x:

At x = -4, y = 128

At x = 0, y = 0

At x = 3, y = 27

So, the curve y = 8x² - x³ + x is on top of y = x² + 13x for x in the range -4 ≤ x ≤ 0, and y = x² + 13x is on top of y = 8x² - x³ + x for x in the range 0 ≤ x ≤ 3.

Now find the area between the curves using integration:

∫[from -4 to 0] [(8x² - x³ + x) - (x² + 13x)] dx + ∫[from 0 to 3] [(x² + 13x) - (8x² - x³ + x)] dx

Simplifying:

∫[from -4 to 0] (-x³ + 7x² - 12x) dx + ∫[from 0 to 3] (x³ - 7x² + 12x) dx

Integrating:

[-(1/4)x⁴ + (7/3)x³ - 6x²] from -4 to 0 + [(1/4)x⁴ - (7/3)x³ + 6x²] from 0 to 3

Simplifying:

(64/3) + (81/4) - (27/3) - (64/3) = 20.25

Therefore, the area enclosed between the two curves is 20.25 square units.

Find out more on enclosed region area here:

#SPJ1

Image transcribed:

(1 point) Find the area of the region that is enclosed between y = 8x² - x³ + x and y = x² + 13x.

The area is

Find angle KMN: a: 20 b: 79 c: 101 d: 5 (PLEASE HELP!!)

Find angle KMN: a: 20 b: 79 c: 101 d: 5 (PLEASE HELP!!)

Answers

Answer:

C. 101°

Step-by-step explanation:

We have :

m∠KMN + m∠KML = 180  (supplementary angles)

On the other hand ,

4x + 81 + m∠KML = 180  (The interior angles of a triangle add up to 180°)

Therefore

m∠KMN + m∠KML = 4x + 81 + m∠KML

Then

m∠KMN = 4x + 81

Then

13x + 36 = 4x + 81

Then

13x - 4x = 81 - 36

Then

9x = 45

Then

x = 5

…………………………………

Conclusion:

m∠KMN = 13x + 36

              = 13(5) + 36

              = 65 + 36

              = 101

PLEASE HELP!!!!

IT IS NOT A

A. Yes; 20 hours/painter

B. Yes; 8 hours/painter

C. No; Does not pass through the origin

D. None of the above

PLEASE HELP!!!!IT IS NOT AA. Yes; 20 hours/painterB. Yes; 8 hours/painterC. No; Does not pass through

Answers

Answer:

C

Step-by-step explanation:

Answer:

Pretty sure it's

D. None of the above

HELP!! Find the value of x in the triangle!! 20PTS!!

HELP!! Find the value of x in the triangle!! 20PTS!!

Answers

Answer:

x = 5°

Step-by-step explanation:

We know that in a triangle, the measure of an exterior angle is equal to the sum of its two remote interior angles, therefore:

7x + 4 + 61 = 20x

7x + 65 = 20x

13x = 65

x = 5°

Answer:

Solution given:

61°+(7x+4)°=20x [ exterior angle is equal to the sum of two opposite interior angle]

65+7x=20x

65=20x-7x

13x=65°

x=\( \frac{65}{13} \)=5°

value of x=5°

Given r(x) = 11/ (x - 42)
which represents a domain restriction on r(x) and the corresponding inverse function?
11
O x>4; r'(x) = 4-
O x>4; r\(x) = 4+1
O x>-4; r'(x) = 4-5
Ox> 4; r'(x) = 4+11

Given r(x) = 11/ (x - 42)which represents a domain restriction on r(x) and the corresponding inverse

Answers

For a given function f(x) we define the domain restrictions as values of x that we can not use in our function. Also, for a function f(x) we define the inverse g(x) as a function such that:

g(f(x)) = x = f(g(x))

The restriction is:

x ≠ 4

The inverse is:

\(y = 4 + \sqrt{\frac{11}{x} }\)

Here our function is:

\(f(x) = \frac{11}{(x - 4)^2}\)

We know that we can not divide by zero, so the only restriction in this function will be the one that makes the denominator equal to zero.

(x - 4)^2 = 0

x - 4 = 0

x = 4

So the only value of x that we need to remove from the domain is x = 4.

To find the inverse we try with the general form:

\(g(x) = a + \sqrt{\frac{b}{x} }\)

Evaluating this in our function we get:

\(g(f(x)) = a + \sqrt{\frac{b}{f(x)} } = a + \sqrt{\frac{b*(x - 4)^2}{11 }}\\\\g(f(x)) = a + \sqrt{\frac{b}{11 }}*(x - 4)\)

Remember that the thing above must be equal to x, so we get:

\(g(f(x)) = a + \sqrt{\frac{b}{11 }}*(x - 4) = x\\\\{\frac{b}{11 }} = 1\\{\frac{b}{11 }}*4 - a = 0\)

From the two above equations we find:

b = 11

a = 4

Thus the inverse equation is:

\(y = 4 + \sqrt{\frac{11}{x} }\)

If you want to learn more, you can read:

https://brainly.com/question/10300045

Answer:

B

Step-by-step explanation:

E2021 on god

Which function is the transformation of the graph of f(x)=8^x across the y-axis?

Answers

Answer:

f(-x) = 8^-x

Step-by-step explanation:

Which number should come next in the series? 13, 57, 911, 1315, 1719?

Answers

Answer:

2123

like 1+4=5

3+4=7

Step-by-step explanation:

All odd numbers beginning from one, in a series.

Also: Starting with 13, add 4 to each digit separately, and continue adding 4 to the result.

Answer:

Solution,

Finding;

Difference between each number

1719-1315=404

1315-911=404

911-57=854

57-13=44

Here,4 is being added to both digits of the number. So the next number will be 17+4=21 and 19+4=23 which is 2123. So the next number to this series will be 2123.

Step-by-step explanation:

Hope it helped you.

What is 26% of 50?
plz help

Answers

Answer:

13

Step-by-step explanation:

50 multiplied by .26

Other Questions
what was the main reason commodore perry was sent to open trade negotiations with japan?A. the united states needed ports for their ships to refuel on the route to china.B. japan had industrial goods that the united states wanted to import.C. the united states was looking for a new market in which to sell cotton.D. japan had previously offered to join a military alliance with the united states. Carlos and Diya perform the same transformations on the same pre-image, but in reverse order.Carlos translates, then dilates.Diya dilates, then translates.Carlos claims the resulting images will always be the same. Diya disagrees.Who is right? and why PLEASE DOUBLE CHECK. I AM REPOSTING THIS AFAIN. DO NOT COPYPASTE OLD ANSWER. THEY ARE ALL WRONGOn January 1, 2020, the dental partnership of Angela, Diaz, and Krause was formed when the partners contributed $48,000, $75,000, and $78,000, respectively. Over the next three years, the business rep 3a-28-7a+10a Someone PLEASE HELP Jimmy earns money for babysitting his littlebrother. He earns the same amount everyweek. He is saving all the money he earns for asummer trip. The table shows how Jimmy'ssavings have been growing. 2. List five parallel circuits you use at home. Rita spends rs 1,500 every week to refill her car with petrol. how much does she spend on petrol in 52 weeks? Laura has identified the job she wants, the skills needed for the position, and the areas she needs to improve in order to get it.What is the next step in the professional development plan? Ask someone to be her mentor Find learning opportunities Identify her current skills Talk to her manager about a new job Solve 4x + 7 = 3HELPPPPPP when you calculate marginal costs, they should include: only fixed costs. the market price of the product. both the variable and fixed costs. only variable costs. AREAFIND THE AREA OF THECOMPOSITE FIGURE BELOW.6cm3cm12cmCARD18cm78 square centimeters96 square centimeters114 square centimeters90 square centimetersnone of the above Anybody know the answer? when conducting a data audit using a pivottable, which of the following should be identified in the underlying dataset? a.columns that contain dates b.the total number of rows in the dataset not including the title c.cell locations that contain numbers and letters combined d.merged cell locations e.columns that contain repeating values Answer the following question. Show your calculations. A country has three industries in their economy: the Agricultural Sector, Industrial Sector, and Service Sector. It is known that 20% of the country's population work in the agricultural sector. The country can be divided into three broad regions: Centre, East, and West. 50% of the country's population live in the Centre of the country. In the Centre, 70% work in the service sector, 15% in the industrial sector, and the remaining go to work in the agricultural sector. 55% of those living in the East work in the industrial sector, while 10% work in the service sector. Those who live in the east and work in either the service or industrial sector account for 13% of the population (i.e. P((ENS) U (EN) ) = 0.13). Assuming that all regions are mutually exclusive and collectively exhaustive, and that all sectors are also mutually exclusive and collectively exhaustive. Calculate the probability that a person works in the agricultural sector given that they live in the west (i.e. calculate P(A\W)). The radius of a sphere is 7 cm. What is the sphere's volume? Round to the nearest tenth, and use 3.14 Is R51 a billable ICD-10 code? find the distance between the two points in simplest radical form (6,-2) and (-1,4) What evidence supports the reason?Claim: Caesar Augustus had the greatest impact on the Roman Empire.Reason: Augustus provided a period of peace for the people of Rome.A Augustus became Romes first emperor.B Augustus built an army of three hundred thousand soldiers to protect the empire from invasion.CAugustus collected taxes from citizens to build bridges and roads.D Augustus created trade relationships with other countries to improve the economy. The University could continue to use the present bus for the next seven years. Whether the present bus is used or a new bus is purchased, the bus would be traded in for another bus at the end of seven years. The University uses a discount rate of 12% and the total cost approach to net present value analysis. If the new bus is purchased, the present value of the annual cash operating costs associated with this alternative is closest to: Question 1 (1 point) How many people are estimated to be in the world today? O 7.5 million O 75 billion O 750 million O 7.5 billion Construct arguments based on evidence about the applications, benefits, and problems of nuclear energy as an alternative energy source.