triangle PQR is similar to triangle XYZ if PQ = n + 2, QR = n - 2 and XY=n^2 - 4, what is the value of YZ, in terms of n?

Answers

Answer 1

Answer:

(n-2)²

Step-by-step explanation:

If triangle PQR is similar to triangle XYZ, then;

PQ/QR =XY/YZ

Given

PQ = n + 2,

QR = n - 2 and

XY=n^2 - 4,

Substitute

n+2/n-2 = n²-4/YZ

n+2/n-2 = (n+2)(n-2)/YZ

1/n-2 = n-2/YZ

Cross multiply

YZ = (n-2)(n-2)

YZ = (n-2)²

Hence the value of YZ in terms of n is (n-2)²


Related Questions

7. What is the value of z in the solution to the systems of linear equations shown below?
-x+ 2y + 2z= -4
4x +y-3z=13
x- 5y +z = -23

Answers

Step-by-step explanation:

[tex]1) \: \: - x + 2y + 2z = - 4 \\ 2z = - 4 + x - 2y \\ z = \frac{ - 4 + x - 2y}{2} \\ \\ 2) \: \: 4x + y - 3z = 13 \\ - 3z = 13 - 4x - y \\ z = \frac{13 - 4x - y}{ - 3} \\ \\ 3) \: \: x - 5y + z = - 23 \\ z = - 23 - x + 5y \\ [/tex]

Write the equation of the line in fully simplified slope Intercept form.

Answers

Answer:

y = -0.83x - 2

Step-by-step explanation:

Slope intercept form is y = mx+b.

M is the slope: In this case the slope (rise/run) is 10/12. However, the slope is decreasing is that would make it negative.

Now we have: y = -0.83x + b

B represents the y-intercept. The y-intercept here is -2. So our final equation is:

y = -0.83x - 2

Your travel guide contains a grid map of London, with each unit on the grid representing 0.5 kilometers. If Buckingham Palace is located at (−2,2) and St. Paul's Cathedral is located at (−2,−3), what is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two landmarks in kilometers? Round your answer to two decimal places, if necessary.

Answers

Answer:

5.00

Step-by-step explanation:

The direct distance between Buckingham Palace and St. Paul's Cathedral is 5 kilometers.

Given the coordinates of Buckingham Palace as (-2, 2) and St. Paul's Cathedral as (-2, -3).

To find the direct distance between two points on a grid, we can use the distance formula, which is derived from the Pythagorean theorem. The distance formula in a 2-dimensional Cartesian plane is:

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

We can calculate the distance between them as follows:

x₁ = -2, y₁ = 2 (Coordinates of Buckingham Palace)

x₂ = -2, y₂ = -3 (Coordinates of St. Paul's Cathedral)

Distance = √((-2 - (-2))² + (-3 - 2)²)

= √(0² + (-5)²)

= √(0 + 25)

= √25

= 5 kilometers

So, the distance is 5 kilometers.

To learn more about the distance between two points;

https://brainly.com/question/24485622

#SPJ3


Who can answer this?

Answers

Answer:

because of parallel lines it's 63

Given that < h (interior) and < k (exterior) are on the same side of the transversal, they are corresponding angles with the same measure.

Given that m < k = 63°, then m < h must also be 63°.

Therefore, the correct answer is 63°.

Please mark my answers as the Brainliest if you find my explanations helpful :)

Find the sale price of the item. Round to two decimal places if necessary.

Original price: $87.00

Markdown: 33%

The sale price is $.

Answers

The sale price is $84.48

Using the formula below, find F, when f = 1000 and r = 8

Give your answer as a decimal number.

Answers

Answer: 15.625

Step-by-step explanation:

F = 1000/(8^2) = 1000/64 = 15.625

Answer:

F = 15.625

Step-by-step explanation:

This question may look quite tricky because of the square number, and fraction, but it is actually quite simple when you break it down.

To calculate this question we need to substitute the number 1000 (because we are told this is f) into where f is in our equation. Our new equation is F=1000/r^2.

Next, we need to substitute the number 8 (because we are told this is r) into where r is in our equation. Our new equation is F=1000/8^2.

At this stage, it is just a matter of putting this information directly into a calculator to find F. The answer we get is 125/8, and to get this is into decimal form, we just divide 8 by 125, and the answer is 15.625. This is our final answer.

I have attached a photograph of this calculation written down.

WILL GIVE BRAINLIEST, EXTRA POINTS, THANK YOU, AND STARS!!!

Answers

Answer:

162kph (i think, sorry if im wrong)

Which means 486km in 3 hours....

Step-by-step explanation:

Hope this helps!

The area of the trapezium is 27.5 cm^2 work out the value of y

Answers

Follow up on the attachment, ask for clarification if you don't get it

y=8cm

W What word problem below can be solved by 7/8 divided by 1/4.? a. Shelly has 1/4 cup of lemonade. She pours 7/8 of lemonade into each glass. how many glasses can Shelly fill? b. Shelly has 7/8 cup of lemondae. She pours 1/4 cup of lemondade into each glass. hom many glasses can Shelly fill? C. Shelly has 7/8 cup of lemondae. She drinks 1/4 cup. How much lemondae does Shelly have left? d. Shelly has 7/8 cup of sugar in her lemondae. She adds another 1/4 cup after tasting it. How much sugar does she have in her lemondae now?hat word problem below can be solved by 7/8 divided by 1/4

Answers

Answer:

b.

Step-by-step explanation:

an online article suggested for each additional person who took up regular running for exercise the number of cigarette smoke daily woo decrease by 0.178 if we assume that 45 minute cigarettes will be smoked per day if nobody ran what is the equation of regression line for predicting number cigarette smoke per day in the number of people who regularly run for exercise

Answers

The linear function that models the situation is given by:

[tex]y = 45 - 0.178x[/tex]

The format of a linear function is:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change.b is the y-intercept, which is the initial value.

If nobody ran, 45 cigarettes would be smoked, thus the initial value is of [tex]b = 45[/tex].For each additional person that exercises, the amount decays by 0.178, thus the slope is [tex]m = 0.178[/tex].

The equation that models this situation is:

[tex]y = 45 - 0.178x[/tex]

A similar problem is given at https://brainly.com/question/16302622

Graph the number on the number line. Then use your number line to find the
absolute value.

Answers

Answer: 9

Step-by-step explanation:

The opposite of -9 is 9.

can you pls slove the 12 question ​

Answers

So (77 5/7)/17
5/7 = 0.7142
77.7142/17
=4.5714 rupees per metre

please help me solve this !
will mark brainliest !
(spammers reported)

Answers

Answer:

x=2

Step-by-step explanation:

The students in Ms. Hill’s class are reading a 325-page book. There are about 90,000 words in the book.
Ms. Hill said the students should try for a reading rate of 200 words per minute for greatest comprehension.

Molly read 65 pages of the book in 80 minutes. What's Molly's reading rate?

Answers

Answer:

225

Step-by-step explanation:

(90000÷325)×65=18000

18000÷80=225

reading rate of 225 words per minutes

Subtract
8/9 - 1/3

5/6
5/9
7/9
7/12

Answers

Answer:

3/9

Step-by-step explanation:

Common denominator: 27

24/27 - 9/27 = 15/27 = 3/9

Mr. Barker saved his money for 47 years and had $3,700,028 in the bank. He used his money to go on an adventure and spent $967,300. How much did he have left after his adventure?

Answers

Answer:

The answer is $2,732,728

Step-by-step explanation:

You start subtracting by aligning the numbers by place value. You subtract and get 28 then you have to subtract 0 - 3 which you can’t do and next to it are 2 other 0’s the only number you can carry is 7. You cross out the 7 and put a 6 in its place. The zero next to it becomes a 9. The one next to it also becomes a 9. Then the one on top of the three becomes a 10. You then do 10 - 3. Which equals 7. Then you do 9 - 7 = 2. 9 - 6= 3. You can’t do 6 - 9. so you cross out the 3 make it a 2 and turn the 6 into a 16. 16 - 9 =7. 2 - 0 =2 so then you get. $2,732,728.

complete the table and sketch the graph​

Answers

Answer:

where's the picture?

Step-by-step explanation:

can I have the pic po

help me!
Read the excerpt from A Girl Named Zippy.

Not long ago my sister Melinda shocked me by saying she had always assumed that the book on Mooreland had yet to be written because no one sane would be interested in reading it.

Why is the author shocked by what Melinda says?

A.She thought her sister believed Mooreland was exciting.
B.She had heard that her sister wanted to write a memoir.
C.She did not understand what Melinda meant by “no one sane.”
D.She did not agree with her sister that Mooreland was a boring place.

Answers

Answer:

OPTION D

Step-by-step explanation: PLS MARK BRAINLIEST :D

D

is the answer to your question

Kylie just accepted a job at a new company where she will make an annual salary of $43000. Kylie was told that for each year she stays with the company, she will be given a salary raise of $5000. How much would Kylie make as a salary after 6 years working for the company? What would be her salary after tt years?

Answers

Answer:5600

Step-by-step explanation:

Because I just did it

convert 35 pints to quarts​

Answers

Answer:

21.0166

Step-by-step explanation:

I NEED HELP WITH THIS MATH PROBLEM!!!!!

WHICH EXPRESSION IS EQUIVALENT TO -8M-8+3M-6?
-11m-2 -5m-2
-5m-14 or -16m-3

Answers

Answer:

-5m-14

Step-by-step explanation:

-8M-8+3M-6

Add -8m and 3m, -8 + 3m = -5m

Next add negative 8 and 6, -6 + -8 = -14

Lastly, put it together,  -5m -14.

Hope that helps!

If sin x=0.96, find tan x

Answers

Step-by-step explanation:

sin x= P/H

sin x = 0.96 = 96/100 = 24/25.

Let the ratio of the sides be x.

B²=H²-P²

B²=(25x)²-(24x)²

B²=625x²-576x²

B²=49x²

B=√49x²

B= 7x.

cos x = 7x/25x = 7/25.

therefore, tan x = sin x / cos x = (24/25)/(7/25) = 24/25×25/7 = 24/7 .

hope this helps you.

If ABC is congruent to DEC…..what is x

Answers

Answer:

x = 32.5

Step-by-step explanation:

If ABC is congruent and equal to DEC then angle CDE = angle CBA since AB || DE

thus ABC = 2x = 65 where x = 65/2 = 32.5

If 2.5 kg of potatoes cost $8.25 how much will u pay for 7 kg

Answers

Answer:

$23.10

Step-by-step explanation:

To get how much money you will have to pay for  7kg, you need to find out how much you have to pay for 1 kg. You will divided y divided by x = y.

8.25 (y) divided by 2.5 (x) = $3.30

You will pay $3.30 for 1 kg

So $3.30 x 7 = 23.10

You will pay $23.10 for 7 kg of potatoes.

** I hope this helps

Tell whether each fraction, [tex]\frac{1}{n}[/tex], is written as a terminating
decimal or a repeating decimal for the given values
of n. Write T for terminating or R for repeating.

Answers

Answer:

ANSWER EQUALS NUMBER MULTIPLY BY TWO

PLEASE MARK ME BRAINLIST

Answer:

n = 2 ⇒ 1/n = 1/2 = 0.5 Tn = 3 ⇒ 1/n = 1/3 = 0.(3) Rn = 4 ⇒ 1/n = 1/4 = 0.25 Tn = 5 ⇒ 1/n = 1/5 = 0.2 Tn = 6 ⇒ 1/n = 1/6 = 0.1(6) Rn = 7 ⇒ 1/n = 1/7 = 0.(142857) Rn = 8 ⇒ 1/n = 1/8 = 0.125 Tn = 9 ⇒ 1/n = 1/9 = 0.(1) Tn = 10 ⇒ 1/n = 1/10 = 0.1 T

is arccos equal tu sec ?​

Answers

yes it is equal to tu sec.


10 push-ups in 2 days= ?


Answers

Answer:20

Step-by-step explanation:

Cuz 10+10=20

8. Elijah has $2800.00. He gets a check for $300.00. He takes his mom out for dinner that costs $150.00. He finds$200.00 on Utopian Street, he then pays his friend Christian back $175, finally he pays his car insurance for $115.How much money does he have left?__________

Answers

Answer:

$2060

Step-by-step explanation:

2800+300-150-175-115= $2060

Answer:

2860

Step-by-step explanation:

2800+300-150+200-175-115=2860

How to convert 2 and 4/5 into an improper fraction

Answers

Answer:

Step-by-step explanation:

2 = 4/2 .  4/5 can not be a improper fraction

I’m struggling someone please help me!!

Answers

Answer:

A one real root

Step-by-step explanation:

if not I'm sorry if I get it wrong

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