Proving triangle similarity given QR PT and QPR STR prove PQR TSR

Proving Triangle Similarity Given QR PT And QPR STR Prove PQR TSR

Answers

Answer 1

The triangles are right triangles, then we can apply Pytagoras´ theorem.

Solution is:

The triangles are similar

From the attached picture, and from parameterization concepts

RS = μ × RQ     0 < μ < 1

From Δ PRQ     sinα = RQ/PR               PQ = h₁ ( hypothenuse in Δ PRQ)

From Δ RST      sinα = RS/ST                ST = h₂ ( hypothenuse in Δ RST)

Then     RQ/h₁   = RS/h₂

or     RQ × h₂  =  RS × h₁      ⇒   h₂ = (RS/RQ) × h₁    ⇒ h₂ = μ × h₁

Then both hypothenuse are proportional, it follows both triangles are similar

Related Link: https://brainly.com/question/20502441


Related Questions

Help Giving Brainliest

Answers

Answer:

20cm squared

Step-by-step explanation:

so the scale factor is 1:2 so you just double the area so,

10cm squared x 2 = 20cm squared

Answer:

D: 40

Step-by-step explanation:

If the scale factor is 1:2 it means that each side is twice as big after being scaled. However, because the area is width * height that means that the area of the scaled one gets doubled two times, so is actually 4x bigger. This means the answer is 4 * 10 = 40 square cm

Matt paid $18.64 for 4 pounds of cashews. How much would he pay if he purchased 6 pounds of cashews?

Answers

18.64 divided by 2 is the cost for 2 pounds

so 9.32 is 2 pounds plus 18.64 for 4 pounds

$27.96 for 6 pounds
Matt paid $18.64 for 4 pounds of cashews. How much would he pay if he purchased 6 pounds of cashews?

Answer-32.62

(04.01)

Consider the following scenario describing the Cambridge Mall parking lot: The number of wheels in the parking lot is based on the number of cars in the parking lot.

Does this scenario represent a function?

(A) Yes, because the number of cars is specific to the number of wheels in the parking lot
(B) Yes, because the number of wheels is specific to the number of cars in the parking lot
(C) No, because the number of wheels is specific to the number of cars in the parking lot
(D) No, because the number of cars is specific to the number of wheels in the parking lot

Answers

Answer:

BB

Step-by-step explanation:

BBBBBBBBBB BBBBBBBBBBBBBBBBBBBBBBBBBBB

ITS B I GOT IT RIGHT ON THE EXAM

Answer:

b Yes, because the number of wheels is specific to the number of cars in the parking lot

Step-by-step explanation:

because i did this quiz and got it right

If you have 40.495 / 1,000,000 - 4,000+ 6,000,900

Answers

...................

what

I need help with square roots. I would really appreciate it if you help me understand them. Thank you! I'll give you 10 points and a five star review for a good answer.

Answers

Answer: 9/8

Step-by-step explanation:

The square root of this is 9/8 because when you square 9/8, you get 81/64, and when you square root it, you get 9/8.

The easiest way tho is knowing that when you square a number and square root the square, you get the same number, cuz the square root cancels the square. Does that make sense?

Anyways hope this helped!

Solve *plz be quick*

Answers

Answer:

9(10-2)=

90-18=72

11×7-23=54

100-15+23=108

16/8=2

Step-by-step explanation:

prove me wrong

72
54
108
2
(Equations used to solve are listed in photo)

help pls , thank you for all who comment ! <3

Answers

Answer:

I think 23 yards

Step-by-step explanation:

not confirm

What is 4x - 16? Please show how you solved

Answers

Answer:

4(x-4)

4 is the largest common factor

I hope this helps:

Hey there!

For equations like this I usually find the GCF or Factors of the given numbers for both of numbers and factor/solve it from there!

So, I’ll do the same thing for you.

[tex]\bf{4x: 1,2,4,\& \ x}\\ \bf{16: 1,2,4,8}}[/tex]

GCF: [tex]\bf{4}[/tex]

[tex]\boxed{\bf{Answer: 4(x - 4)}}\checkmark[/tex] (Just distribute and it’ll convert back to the equation in your question

Good luck on your assignment and enjoy your da!

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

4
-1
-2
-3
5
The equation of the line in this graph is y=
I
x+

Answers

Answer:

The answer would be:

thec correct equation of the line is : y = 3 + 1.5x

tep-by-step explanation:

Which graph represents a function?

Answers

Answer:

a

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

B, C, and D, have straight up and down lines, which is not a function.

Which triangles are similar?
123
13
112
670
0
5
Triangle A
36
139
15
28
B
17
670
15
Triangle c
Triangle B

Answers

Answer:

Triangle A and C

Step-by-step explanation:

Because sum of the angles in triangle A=179 and also sum of angles in triangle C=179

I need help with this... plz

Answers

Answer: 11,600

you multiply 58,000 by 0.8 and you’d get 46,400. then you would subtract that number by 58,000 to get the answer of 11,600.

Factor out the coefficient of the variable term.
The expression 0.15c-0.072 factored is: ?

Answers

Answer:error

Step-by-step explanation:

An expression is combination of variables, numbers and operators. The factor of expression 0.15c-0.072  is 0.15(c-0.48)

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is

zero point one five times of c minus zero point zero seven two.

Expression 0.15c-0.072

A factor is a number that divides another number, leaving no remainder.

0.15c-0.072

Let us take 0.15 common

0.15(c-0.48)

Hence the factor of expression 0.15c-0.072  is 0.15(c-0.48)

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Select all the correct answers

Answers

Answer:

12^3,

Step-by-step explanation:

what’s the slope??
thanks if u help :)

Answers

Answer:

1/2

Step-by-step explanation:

1/2

Answer:

1/2 or The rise is 1 and the run is 2.

HELP 80 POINTS DUE SOON

Answers

Answer:

a = 1

Step-by-step explanation:

The important point here is that both lines are horizontal reflections of each other. If we treat the line x = a as a kind of "mirror" for these lines, every point at the same y value on each line is going to be an equal horizontal distance from that "mirror". If that's confusing, think about how, as you pull your hand away from a mirror, your hand's reflection seems to go deeper into it. As you bring it closer, your reflection gets closer too. And when you're touching the mirror, it seems like your hand and its reflection are touching!

We want to find that "touching" point for the two lines, the intersection, because it'll tell us exactly where our "mirror" - more commonly called the axis of symmetry - is. The point of intersection of any two lines is the point where their equations are exactly equal to each other.

Our equations are y = 3x - 5 and y = 1 - 3x, so setting those two equal to each other and solving for x:

[tex]3x-5=1-3x\\6x=6\\x=1[/tex]

This tells us that the two lines intersect at x = 1, which is exactly our axis of symmetry, so a = 1!

Answer is a=1 have a good day!

Pleaseee help me ASAP, I’m confused and if you are too please don’t just answer for the credits at least read carefully then try to help :(

Answers

Answer:

BBEFI or H

Last one could be either "Prove" or "CPCTC"

Original quantity: 10 New quantity: 16

Answers

Answer:

what do you mean

Step-by-step explanation:

932.48 divided by 2?

Answers

Answer:

The answer would be 466.24

466.24 hope this helps you

A certain pizza parlor has 7
different toppings. How many two-
topping pizzas are possible?

Answers

49 bruuuuuuuuuuuuuuuuuuuuuuuuh

What is the area of the football field in the scale drawing? Assume that the field is shaped like a rectangle.

Answers

Answer:

i mean might as well get free points now that its 2 weeks old

Step-by-step explanation:

Answer:

Pythagorean Theorem: the diagonal of the football field is the hypotenuse. Let´s say the diagonal is C and the two other sides are A and B.

Width = A

Length = B

Diagonal = C

so: a2+b2=c

2502+1002=c2

2500+10000=c2

12500=c2

c=√12500

c=111.80 yards

Step-by-step explanation:

the ambitous jackle

i need help!!!!!!!!!

Answers

S=5

Isolate the variable by dividing each side by factors that don't contain the variable.

So your answer is S=5

Is that the real answer at the top and what’s the Raleigh Rocket’s score ?

Answers

Answer:

The scores are as follows:

Caroline Castways = 72

Raleigh Rockets = 24

Step-by-step explanation:

Let c be the Castways score and r be the Raleigh Rocket’s score

Then

According to given statements, the equations will be:

[tex]c+r = 96\\r = \frac{1}{3}c[/tex]

From equation 2

[tex]3r=c[/tex]

Putting c = 3r in equation 1

[tex]3r+r = 96\\4r = 96\\\frac{4r}{4} = \frac{96}{4}\\r = 24[/tex]

Putting the value of r in equation 2

[tex]r = \frac{1}{3}c\\24 = \frac{1}{3}c \\c = 24*3\\c = 72[/tex]

Hence,

The scores are as follows:

Caroline Castways = 72

Raleigh Rockets = 24

In Gwinnett, the sales tax is 6%. You buy a watch that costs $45.50. What is the TOTAL cost including tax?

Answers

Answer:The answer is 48.23

A forest covers 49,000 acres. A survey finds that 0.3% of the forest is old-growth trees. How many acres of old-growth trees are there?

Answers

Answer:

0.0000612

Step-by-step explanation:

Answer: 86 I believe

Step-by-step explanation:

Which of the following is the product (3x - 5) and (3x + 5)?

Answers

Answer:

the answer is

....9x^2 - 25

Using the diagram below, find the length of BC.

Answers

the answer would be 46.3

Find all possible solutions for x and y such that △ABC is congruent to △DEF.

△ABC: sides of length 19, 25, and 3x − 3.
△DEF: sides of length 25, 15, and 5 − y.

△ABC ≅ △DEF when x is ___ and y is ___.

Answers

Answer:

Step-by-step explanation:

it means the ABC And DEF have side lengths of 15,19, 25

so 3x-3 = 15

x = 6

5-y = 19

so y = -14

What is the equation to find the radius of a cylinder? (Just the radius)

Answers

Answer:

divide the diameter by 2

Step-by-step explanation:

Zachary places daisies and magnolias in a vase. If daisies cost x dollars, magnolias cost y dollars and a vase costs v dollars, mark all equations which represent the cost of 20 vases of 40 daisies and 80 magnolias.

Answers

Answer:

[tex]Total = 20v + 40x + 80y[/tex]

[tex]Total = 20(v + 2x + 4y)[/tex]

Step-by-step explanation:

The options were not given,en but the question can still be solved.

Given

[tex]Daises = \$ x[/tex]

[tex]Magnolias = \$ y[/tex]

[tex]Vase = \$ v[/tex]

Required

Determine the cost of 20 vases, 40 daises and 80 magnolias

If 1 vase costs $v, then

[tex]20\ vases = 20 * v[/tex]

[tex]20\ vases = 20v[/tex]

If 1 daises costs $x, then

[tex]40\ daises = 40 * x[/tex]

[tex]40\ daises = 40x[/tex]

If 1 magnolias costs $y, then

[tex]80\ magnolias = 80 * y[/tex]

[tex]80\ magnolias = 80y[/tex]

[tex]Total = 20v + 40x + 80y[/tex]

Another expression that represents the total is to factorize the expression.

[tex]Total = 20(v + 2x + 4y)[/tex]

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