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

Find the area of this triangle.
Round to the nearest tenth.
12 cm
33°
5.5 cm
[?] cm2

Answers

Answer:

1/2 ab sinC =1/2(5.5×12)sin33 = 17.97

Step-by-step explanation:

Put the numbers in the equation ,a calculator will be better.

The area of the triangle is 18.0cm².

What is the sine rule for the area of the triangle?

The sine rule for the area of the triangle is defined as the area of the triangle that can be calculated by the product of the half of the two sides of the triangle and the sine of the angle between the two sides.

Area= Δ= (1/2)*a*b*sinC

where a and b are the length of the side BC and AC respectively. And angle C is the angle between the sides BC and AC.

Here given in the figure the triangle has two sides of lengths 12cm, and 5.5cm.

The angle between the sides is 33°.

Then using the sine rule for the area of the triangle

The area of the triangle= (1/2)*a*b*sinC

=(1/2)*12*5.5*sin 33°

=17.97≅ 18.0 cm²

Therefore the area of the triangle is 18.0cm².

Learn more about the sine rule

here: https://brainly.com/question/27174058

#SPJ2

The probability that a randomly selected student is a girl is 0.52, and the probability that a student is a girl and in an art class is 0.20. Giver that a student is a girl, what is the probability she is in an art class?

0.20
0.32
0.38
0.52

Answers

Answer: The answer is 0.38

Step-by-step explanation:

Well, everything is given, as stated in the question "the probability that a student is a girl and in an art class is 0.20."

It's given that the probability that a student is a girl is 0.52.

However, in the question, it said that it's given a student is a girl.

You have the probability that a student is a girl and in art class, so you need to find what 0.52 was multiplied by which would be the probability of someone being in art class. Knowing this you can do 0.20 / 0.52 to get 0.38.

WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!!

Answers

Answer:

where's the question???

Step-by-step explanation:

Step-by-step explanation:

Volume of cylinder=πr²h

Grandma Sands must've seen The Wizard of Oz a million times..." is an example of... *
hyperbole
metaphor
personification
alliteration???

Answers

Answer:

okay maybe try alliteration...

Ms. jones wants to take her students for all of her classes on a field trip to see a Broadway production. There are three shows to choose from. She wants to determine which show students would like to see. which sample would be the most appropriate for this survey?

A: Every fifth student that enters her classroom

B: Her Honors class

C: 5 boys in each of her class

D: At the end of the day, ask teachers what they think student will like

Answers

Answer:

A

Step-by-step explanation:

Because it is a random sample

Answers please and explain

Answers

Answer:

34 divided by pie. so type this in your calculator, 34/3.14 and then theres ur answer when u hit enter

Step-by-step explanation:

type it in the calculator bc i dont have mine rn

Answer:

102

Step-by-step explanation:

Well it says use 3 instead of pi. So (3)(34)

Which is 102

Please help, test due in 2 hours! Will give good review and brainliest. :)

Answers

Answer:

224in³

Step-by-step explanation:

Find the volume of the rectangular prism, then subtract the volume of the pyramid from it.

Volume of rectangular prism= (length)(width)height)

=(14)(4)(10)=560in³

Volume of pyramid=((length)(width)height))/3

=((14)(4)(6))=336in³

560in³-336in³=224in³

Where is the blue point on the number line?

Answers

Answer:

-6 pick mine as brainlest

Step-by-step explanation:

Four friends share 3 sheets of construction paper equally. What fraction
of a sheet of paper does each friend get?

Answers

Answer:

0.75 or 3/4 sheet of paper

Answer:

3/4 of each sheet

Step-by-step explanation:

You have to divide the number of sheets of paper by the number of people sharing them, which gives you 3/4. This makes sense because if there are more people than paper, each person will get less than a full sheet.

Jacey has 40 pizzas to sell in the concession
stand at a basketball game. Each pizza has
been cut into 8 slices of equivalent size. In the
first hour, Jacey sold 16% pizzas. In the second
hour, she sold 18 pizzas. How many pizzas
does Jacey have left to sell?

Answers

ANSWER: In theory the answer is (16.6)Pizzas

Step by Step EXPLANATION : 16% of 40 is 6.4 that means she sold 6 full pizzas and 0.4 parts of one pizza
add that to 18 is 24.4 pizzas sold and 16.6 to go.

What is 2+2???? very hard question I know that's why I need help.

Answers

Answer:

4

Step-by-step explanation:

Answer:

yes to get this answer u need to use ur brain

take 2 and 2

then see how many are there in all so it's 4

So u should mark me as brainlist

⚠️WILL GIVE BRAINLIEST!!!

Answers

Answer: 42 Units Cubed

Step-by-step explanation:

Volume of a Prism is typically length * width * height

in the problem the 5 and 1/4 is the area of that base so it is is the height and width already multiplied

so now just multiply the length, which is 8, to the area of the base to find the volume

[tex]8*5\frac{1}{4} \\8*\frac{21}{4} \\2*21\\42[/tex]

Answer:

[tex]volume \: = cross sectional \: area \times height \\ = 5 \ \frac{1}{4} units {}^{3} \times 8units \\ = \frac{21}{4} \times 8 \ \\ = 42units {}^{3} [/tex]

In the figure, the angles are formed by a transversal and two parallel lines. Which angles are congruent?

Answers

Answer:

A is your correct answer.

1, 3, 5, and 7 are equal to each other and 2, 4, 6, and 8 are equal to each other.

Step-by-step explanation:

Congruent angles are angles that have the same measure. In this example, where two parallel lines are cut by a transversal line, the angles in the same position on the top line and bottom line are congruent. For example, angle 1 and 5 are in the same position, so they have the same measure.

Also, vertical angles (opposite angles, like 5 & 7 in your example) have the same measure.

Please let me know if you have questions about this.

kim's scores in the diving competition were 7,2, 6.975, 8.0 and 6.96 what is her total score

decimal​

Answers

Answer:

8.0

Step-by-step explanation:

The top two most profitable Fortune 500 companies in 2016 were Apple and JP Morgan Chase & Co. JP Morgan Chase & Co.'s revenue was $29 billion less than Apple's revenue. The total revenue for both companies was $77.8 billion.

Answers

Answer:

a. 53.4

b. 24.4

Step-by-step explanation:

a+j=77.8

j=a-29

a+j=77.8

-a+j=-29

2j=48.8

j=24.4

a+24.4=78.8

a=53.4

-95, -17,-60-90, 67, 74, 27, 70
Mean
Median
Mode
Range
Pls help me atleast just give me the medium

Answers

Answer:

mean:-3

median:5

mode: all values appeared once  

range:169

Step-by-step explanation:

How would you describe the tick marks on the number line between the tenths?

Answers

Answer:

millimeters....

A circle with center P is shown. RS and ST are tangent to circle P. What is the degree measure of angle RST

Answers

Bro I’m rly sorry but I don’t know the answer to this

Subtract the following complex numbers:
(4 + 4i) - (13 + 17i)

Answers

Answer: -9 - 13i

Hope this helped!

How many feet tall is the ladder? Picture is in the jpg. Ples help :(

Answers

Answer:

25

Step-by-step explanation:

you use pythagorean theorem

do 24^2 + 7^2 and that gets you 625.

next square root the number to get 25

Answer:

17

Step-by-step explanation:

The diagram shows the length and width of two boxes of flowers. The length and width of the two boxes of flowers are proportional. What is the length, in inches, of the smaller box of flowers?

Answers

Answer:

I sont know

Step-by-step explanation:

Answer:

4 inches

Step-by-step explanation:

since 5 is half of 10, 4 is half of 8.

How many zeros are in the product 4 x 10 7th power

Answers

Answer:

7 or 40,000,000

Step-by-step explanation:

The exponent (^7) is how many zeros for the 10. if there is 10^2 its just 100 because it's 10 * 10 or 100 (notice the zeros in the 10 * 10 equation? yup, there's 2) and the 4 is basically 4 * 10, it changes the 10 like 4*1 but with a lot of zeros if there were exponents (10^2) so just put them together and you get 4 * 10^7

10^7 (its just 10 times itself 7 times) = 10,000,000

4 * 10,000,000 = 40,000,000

Hope this helps

~R3V0

The value of X (click photo)

Answers

Answer:

20°

Step-by-step explanation:

;b

Answer:

x=40

Step-by-step explanation:

The measure of the angle <RTS is half the difference of the measures of the intercepted arcs (mRS and mQP).

<RTS=(1/2)(mQP-mRS)

(x/2)=(1/2)((x+70)-(x+30))

x=x+70-x-30

x=40

Solve the following inequality for n

Answers

Answer:

The answer is n < 6.

Step-by-step explanation:

[tex] \frac{n}{3} < 6 - 4[/tex]

[tex] \frac{n}{3} < 2[/tex]

[tex]n < 2 \times 3[/tex]

[tex]n < 6[/tex]

Therefor, the answer is n < 6.

What is a fact family? (Saying "it's a family of facts" will not be accepted")

Answers

Answer: Fact families are 3 numbers that make up a set of related math facts

Step-by-step explanation:

.An example of a fact family for multiplication and division is 2, 3, and 6: 2 X 3 = 6, 3 X 2 = 6, 6 2 = 3, and 6 3 = 2.

Answer:

Step-by-step explanation:

A fact family is a set of subtraction and addition equations or sentences that involve the same numbers.

Complete the missing value in the solution to the equation.y=-2x+4

Answers

(4,-2) is the right answer.

The angles below are complementary. Find the value of X​

Answers

67 decrease because is an angle with 90 decrease angle so 90 - 23 = 67

Does anyone know what the answer please?

Answers

Answer:

<1 = 76

Step-by-step explanation:

<1 + 51 + 53 = 180

<1 + 104 = 180

<1 = 180 - 104

<1 = 76

Can someone help me? I am stuck on this question I would mean the world if u helped me! and tysm for the people who helped me!

Answers

Answer:

$10.10

Step-by-step explanation:

0.25 × 27 = 6.75

0.10 × 26 = 2.60

0.05 × 15 = 0.75

6.75 + 2.60 + 0.75 = $10.10

Solve the following equation: 8x + 6 + 3x - 4
Please hurry.

Answers

Answer:

A

Step-by-step explanation:

x = -2

Answer:

x=-2

Step-by-step explanation:

I would put steps, but it sounds like your in a hurry, so there is the answer, if you want, I can put the steps in the comments

But yeah

If that helps, plz mark brainiest, i'm almost leveled up :3

Thanks!

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