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

Ms. Marcus saws an 8-foot board into 2 pieces. One piece is 3.625 feet long. What is the length of the other piece?​

Answers

Answer:

4.375

Step-by-step explanation:

Taking off the length, we know you need to subtract. We can write out the answer as 8-3.625 which is 4.375.

By the way can you follow me on Brainly?

Thanks!

if virginia's sales tax rate is 4.3%, what is the total cost of a $34 virgina tech t-shirt?

Answers

It would be 4.2% -‘jzjsjehwjdjdjekslsjsbsnsjzjzjsjsnzsjsjnsnsns SNSJSJ

Answer:

35.46

Step-by-step explanation:

34 x 1.043=35.46

26.5 multiplied by 0.38

Answers

10.07 would be the answer

Answer:

10.07

Step-by-step explanation:

26.5 x 0.38 = 10.07

Can I get brainliest

Truck A leaves station 1 at 9:00 a.m. and travels at the rate of 60 kph. After 2 hours, Truck B leaves the same station and travels in the same direction at the rate of 80 kph. At what time will Truck B overtake Truck A?

Answers

Answer: [tex]5:00\ PM[/tex]

Step-by-step explanation:

Given

Truck A speed is [tex]v_a=60\ kmph[/tex]

Truck B speed is [tex]v_b=80\ kmph[/tex]

Truck A leaves 2 hours before truck B

Distance traveled in the 2 hour

[tex]\Rightarrow 60\times 2=120\ km[/tex]

Suppose Truck B will catch truck A after t hours

[tex]\therefore 120+60t=80t[/tex]

[tex]\Rightarrow 120=20t\\\Rightarrow t=6\ hr[/tex]

Overtake time is [tex]9:00am +2+6=5:00\ PM[/tex]

Find (-5)(-2)(5)( - 1)(-4)

Answers

200. Multiply all starting from left to right
Answer: 200

Step:
(-5)(-2)=10
10(5)=50
50(-1)=-50
(-50)(-4)=200

GIVING OUT BRAINLIEST ANSWER !! PLS HELP ME OUT !! (last minute)

Answers

Answer:

A, 32 degrees, hope this helps !! :D

Step-by-step explanation:

HEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLP

Answers

Answer:

7.)[tex]\frac{1}{2}[/tex]

8.) [tex]\frac{1}{8}[/tex]

9.)[tex]\frac{1}{3}[/tex]

10.)[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{2}[/tex]=[tex]\frac{1}{12}[/tex]

I should know, I finished this like, a month ago?

2345621874+9863412689

Answers

Answer:

12209034563 will be your answer.

Step-by-step explanation:

just add it.

Answer:

WAT TIME IS IT? IT TIME 2 USE DA CALCULATOR.

12209034563

more info can be giving on usecalculator.com

Step-by-step explanation:

What is the equation of the line that passes through the point (−0.5,8) and has a slope of −5?

Answers

Answer:

Slope=-1.8, X=-0.5, y=1.9

Equation is y^2-y^1=m(x^2-x^1).

Y-1.9=-1.8(X-(-0.5))

Y-1.9=-1.8x+0.90

Add 1.9 on both sides.

Y= -1.8x+1.

I hope this helps you.

Step-by-step explanation:

A right angled triangle has a second angle equal 24 degrees. The side adjacent to this angle is 3,7 metres long. How long are the hypotenuse and opposite sides? (3)​

Answers

Hypotenuse will be 4.05
Opposite will be 1.65

help me pleaseee. I don’t understand why this wrong so it would be great if you could help?

Answers

Answer:

-4x + 5y = 40

Step-by-step explanation:

- move the expression to the left, so you want to get y - 4/5x = 8

-  multiply both sides so you get 5y - 4x = 40

- reorder the terms so you get -4x + 5y = 40

personally, I would change the signs afterwards to get 4x - 5y = -40, but the last thing I wrote was what was shown in that picture you sent. hope this helped :)

... A person has 5 coins in their pocket. A dime, 2 pennies, a quarter, and a nickel. If a person randomly
picks one coin out of their pocket. What would the probability be that they get a penny?
HELP ME PLSSSSS

Answers

Answer:

2/5 i think not sure

Step-by-step explanation:

Answer:

There is a 40% chance of the person pulling out a penny.

Step-by-step explanation:

Out of 5 coins, 2 of them are pennies. This is 2 out of 5.

2 out of 5 is a fraction, 2/5.

2/5 in percent form is 40%.

HELP!! What do I do ?

Answers

Omg rlly I can’t help you

Find the volume of a cylinder that has a height of 8 inches and a diameter of 14 inches.

Answers

Answer:

[tex]V=1232\ inches^3[/tex]

Step-by-step explanation:

Given that,

The height of a cylinder, h = 8 inches

The diameter of the cylinder, d = 14 inches

Radius, r = 7 inches

We need to find the volume of the cylinder. The formula for the volume of a cylinder is given by :

[tex]V=\pi r^2 h\\\\=\dfrac{22}{7}\times 7^2\times 8\\\\V=1232\ inches^3[/tex]

So, the volume of the cylinder is equal to [tex]1232\ inches^3[/tex].

Complete the table for the equation you wrote in Exercise 6.

Answers

Answer:

You know you forgot to put a pictures I would recommend to put a picture to get desired answers!

Step-by-step explanation:

Answer:7,10,13,16

:))))

PLEASE HELP ME GIVING LOTS OF POINTS AND BRAINLIEST TO THE FIRST LEGIT ANSWER!!!

Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool:

Main title on the graph is Swimming Pool Population. Graph shows 0 to 30 on x axis at increments of 5 and 0 to 12 on y axis at increments of 1. The label on the x axis is Temperature in degree C, and the label on the y axis is Number of People at the Pool. Dots are made at the ordered pairs 2.5, 1 and 5, 2 and 7.5, 2 and 7.5, 3 and 7.5, 4 and 10, 5 and 10, 6 and 12.5, 6 and 15, 7 and 15, 8 and 17.5, 5 and 17.5, 7 and 20, 9 and 22.5, 7 and 22.5, 9 and 25, 11 and 27.5, 12.

Part A: In your own words, describe the relationship between the temperature of the city and the number of people at the swimming pool. (5 points)

Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)

Answers

Answer:

As the temperature increases, the number of people at the pool increases.

Part B: I think the line best fit can be one that starts at (0,0), and goes up until (28,12). The approximate slope would be 0.42, and the y-intercept is 0.

SLOPE:

(28,12)

y / x = m

12 / 28 = 0.42

Y-INTERCEPT:

​(0,0)

= 0

Step-by-step explanation:

if you get a student loan for $2,000 at 8% interest, what is the simple interest for one year

Answers

Answer:

divide 2,000 and 8 and see wat u get

Step-by-step explanation:

How many seconds are there in
January?

Answers

Answer: 2,678,400

Step-by-step explanation:

There are 31 days in January and 2,678,400 seconds

If u had two basketball and he had two basketball how much balls would you have in all

Answers

Answer:4

Step-by-step explanation:

Answer:

There's 4 basketballs.

2 + 2 = 4

The company plans to increase the width and length of the large box by 4 inches each to create a new larger box. How many more of the small boxes will be able to fit inside this new larger box compared to the original large box?

Answers

Answer:

Answer:16

Step-by-step explanation: 2x2 is 4

4x4. Is 16w

W stand for width

Step-by-step explanation:

4x+6y-8 equivalent to what

Answers

Answer:

c

Step-by-step explanation:

2(2x+3y)

as 4x+6y

hope this helps and makes sense

Expand to write an equivalent expression

-5(7m-2)

Answers

So lets use the distributive property on this problem:

First we multiply-
-5(7m)= -35m
Next we multiply-
-5(-2)=10
Its a positive 10 and not a negative because two negatives equal a positive.
And then we just put it together so our new expression would be
-35m+10

Pls help ASAP
The citizens of a city were asked to choose their favorite pet. The circle graph shows how the citizens answered. If 135,000 citizens answered the question, how
many chose Fish, Cats, or Birds?
Snakes
6%
Hamsters
D
X
5
?
Birds
22%
Cats
239

Answers

Answer:

23,7777

Step-by-step explanation:

because 13% died

Which of these situations can be represented by the opposite of -25 select all that apply

Answers

Answer:

Please give us the situations and then we can answer correctly. :)

find the value of each variable

Answers

Answer:

Step-by-step explanation:

12.)

x = 18

y = 9√3

14.)

x = 16/√2

y = 16/√2

16.)

x = 19

y = 19

In triangle ABC, AC = 6, AB = 7, and BC = 5. Which is true?
A) The measure of Angle C is the greatest of the three angles.
B) The measure of Angle C is the least of the three angles.
C) The measure of Angle B is the least of the three angles.
D) The measure of Angle B is the greatest of the three angles.

Answers

the answer is A


hope this helps


Brandon is rolling two six-sided dice. What is the probability that one die lands on an even number and the other die lands on an odd number?

Answers

Answer:

50-50 on both because there 3 even and 3 odd numbers

Answer:

50% chance of either or 1/2

Step-by-step explanation:

50% of either

Look a die has 12 sides

6 numbers are odd and the other 6 even

If you randomly roll a die you will have 6/12 chances of landing on a even number and a 6/12 chance of landing on a odd number

now 6/12 can be simplified to 1/2 which is 50%

Hope that helps!

The probability distribution for a
random variable x is given in the table.
-5
3
-2
0
2
3
Probability
117
.13
.33
-16
11
-10
Find the probability that x<-3

Answers

Answer:

[tex]P(x \le -3) =0.30[/tex]

Step-by-step explanation:

Given

The attached probability distribution of x

Required

Find [tex]P(x \le -3)[/tex]

To do this, we consider all values of x less than or equal to-3.

So, we have:

[tex]P(x \le -3) =P(x=-5) + P(x = -3)[/tex]

From the table:

[tex]P(x=-5) = 0.17[/tex]

[tex]P(x = -3) = 0.13[/tex]

So, the equation becomes

[tex]P(x \le -3) =P(x=-5) + P(x = -3)[/tex]

[tex]P(x \le -3) =0.17 + 0.13[/tex]

[tex]P(x \le -3) =0.30[/tex]

A ladder leans against a building, making a 70° angle of elevation with the ground. The top of the ladder reaches a point on the building that is 39 feet above the ground.
To the nearest tenth of a foot, what is the distance between the base of the building and the base of the ladder?

Question 4 options:

13.3 ft


14.2 ft


36.6 ft


41.5 ft

Answers

Answer:

14.2feet

Step-by-step explanation:

Given the following

Angle of elevation = 70degrees

Height of the building from the ground = 39feet (opposite)

Required

distance between the base of the building and the base of the ladder (adjacent)

Using the SOH CAH TOA identity

Tan theta = opp/adj

Tan 70 = 39/d

d = 39/tan 70

d = 39/2.7475

d =  14.2

Hence the distance between the base of the building and the base of the ladder is 14.2feet

the rule for converting yards to feet

Answers

the rule is you must multiply by 3

Answer:

1 yard=3 feet

Step-by-step explanation:

If it needs more, then 3 feet=36in.

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