Given: SR is the perpendicular bisector of QT; QR is the perpendicular bisector of SP
Prove: PQ=TS

Given: SR Is The Perpendicular Bisector Of QT; QR Is The Perpendicular Bisector Of SPProve: PQ=TS

Answers

Answer 1

Two lines are said to be perpendicular if they are at right angle to each other. The prove that PQ = TS is as stated below:

SR ⊥ QT   (given)

QR ⊥ PS  (given)

Comparing Δ PQS and ΔQST, we have:

Points Q and T are equidistant to bisector SR (bisection property of a line)

Points P and S are equidistant from QR (bisection property of a line)

QS is a common side to the triangles

Then,

PS ≅ QT (similar property of triangles)

Thus,

PQ ≅ ST (Side-Side-Side (SSS) property of triangles)

Therefore by Side-Side-Side (SSS) theorem, PQ = ST.

Visit: https://brainly.com/question/8691470


Related Questions

if f(n) = -6n + 2, find t 5/6

Answers

So you need to add 6n with +2 then 5-7

0.36 in simpliest form with the line over the 6

Answers

Answer:

11/30

Step-by-step explanation:

Let x = 0.366666666.....

Then

100x = 36.6666666....

10x =     3.6666666...

subtracting 100x - 10x eliminates the trailing 6s

90x = 33

divide both sides by 90

x = 33/90

reduce

x = 11/30

Can somebody help ???

Answers

Answer:

2/5, a and b

Step-by-step explanation:

Find the value of x in the equation below. 15.4=x-13.9

Answers

Answer:

29.3

Step-by-step explanation:

"15 is always equal to the product of a number and 5" translates to a mathematical equation.
O True
O False

Answers

Answer:

This is True

Step-by-step explanation:

I know this because it is like dividing you just divide 15 by 5 and the it will be equal

Help please I need help

Answers

Answer:

I think it would be A??? idfk man

I need help on this question

Answers

What question did you eat the last day?

explain why the area of the circle is less than 4 square units

Answers

Answer:

50ithe distance between two cities X and Y is 50 km Ramesh travel from City a to city y by scooter with an average speed of 30 km per hour how long will it take him to reach city y

Find the range of the function.
f(x) = -7x2 – 3
-

Answers

Answer:

its x: x< -3

Step-by-step explanation:

ya

On a certain hot​ summer's day, 294 people used the public swimming pool. The daily prices are for $1.75 children and for $2.25 adults. The receipts for admission totaled $635.50 How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

a = 242  adult and  c = 52 children

Step-by-step explanation:

Solving as a system of equations.

a = adult

c = children

The adult and the children equal 294 people

  a + c = 294

adult cost is 2.25 per adult

Total amount of adult is 2.25a because the number of adult are not given.

children cost is 1.75 per children

Total  amount children is 1.75c because the number of children  are not given

Total receipts $635.50.

a + c = 294                         multiply by -1.75           -1.75a - 1.75c = - 514.50

2.25a + 1.75c = 635.50     does not change           2.25a + 1.75c =  635.50

Add these equations together

-1.75a - 1.75c = - 514.50

2.25a + 1.75c =  635.50    

.50a              =   121.00

   a = 121.00/.50a

   a = 242  adult

a + c = 294

242 + c = 294

         c = 294 - 242

          c = 52 children

Check:    $2.25(242) + $1.75( 52) = $635 .50

              $544.50 + $91.00 =  $635.50

                   $635.50 = $635.50

Please help mee please plese

Answers

Answer:

C=66, C=25 1/7

Step-by-step explanation:

i

C=pi(d)

C=22/7*21

C=66

ii

C=pi(d)

C=22/7*16

C=25 1/7

7 Mathexcellup logo

I answered the question and got it right.

the shown bellow question answer

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Are of the given figure is ~

[tex] \boxed{ 50.28 \: \: cm {}^{2} }[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The area of the compound shape is equal to ~

Area of rectangle + Area of semi - circle

let's find the Area of rectangle ~

[tex]length \times width[/tex]

[tex]11 \times 4[/tex]

[tex]44 \: \: {cm}^{2} [/tex]

now, let's find the Area of Semicircle ~

[tex] \dfrac{ \pi{r}^{2} }{2} [/tex]

[tex] \dfrac{3.14 \times 2 \times 2}{2}[/tex]

[tex]6.28 \: \: c {m}^{2} [/tex]

So, Area of the given figure is equal to ~

[tex]44 + 6.28[/tex]

[tex]50.28 \: \: cm {}^{2} [/tex]

helpppppppppppppppppppppppppppppppppppppppppp

Answers

With what I have to say about the way that you are going on the way back and forth between you and me and I have a

Answer:

The answer is G which is 16.

Step-by-step explanation:

To solve the problem multiply 25/125 times 80.

Sara took skydiving lessons. The Skydome charges $45 per hour for lessons. Sara also gave her Skydiving Instructor a tip of $20. Define the unknown in the scenario and assign it a letter or symbol. math

Answers

Answer:

45+20=t   t=65

Step-by-step explanation:

t is my assigned letter

Hope this helps

Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 3cm/min and the other
shrinks at the rate of 5 cm/min.
A)how fast is the hypotenuse of the triangle changing 2 minutes later?
B)how fast is the area of the triangle changing 2 minutes later?

Answers

Answer: Let x = length (in cm) of the decreasing leg at time t seconds

Step-by-step explanation: I hope this was any help ϵ( ‘Θ’ )϶

What is the value of y?

Answers

Answer:

40°

Step-by-step explanation:

We know that a triangle is equal to 180°

Since one angle is 50° we can figure out that the rest of the angles are equal to 130° (180° - 50°)

If we use 40° then 2·(40°) = 80°

and the second angle is 40° + 10° = 50°

if we add all the angles (80° + 50° + 50°) we get 180° which is correct.

4x+y=8
x+2y=5
substutuion method

Answers

Answer:

i dont know sry....i ned points..

solve pls brainliest

Answers

A is 0.43%
B is 5.4 I hope this help

Answer:

0.43%

5.4

Step-by-step explanation:

To convert 0.0043 to a percentage, multiply the number 0.0043 by 100

0.43%

In decimal form, 540 percent equals

5.4

PLZ HELPPP ME
Point B has coordinates ​(3​,2​). The​ x-coordinate of point A is 0 . The distance between point A and point B is 5 units. What are the possible coordinates of point​ A?

Answers

Answer:

A (0, - 2 ) or A (0, 6 )

Step-by-step explanation:

Using the distance formula

d = [tex]\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2 }[/tex]

with (x₁, y₁ ) = B(3, 2) and (x₂, y₂ ) = A(0, y )

AB = [tex]\sqrt{(0-3)^2+(y-2)^2}[/tex]

     = [tex]\sqrt{(-3)^2+(y-2)^2}[/tex]

     = [tex]\sqrt{9+(y-2)^2}[/tex]

Given AB = 5 then equating gives

[tex]\sqrt{9+(y-2)^2}[/tex] = 5 ( square both sides )

9 + (y - 2)² = 25 ( subtract 9 from both sides )

(y - 2)² = 16 ( take square root of both sides )

y - 2 = ± [tex]\sqrt{16}[/tex] = ± 4 ( add 2 to both sides )

y = 2 ± 4

Then y = 2 - 4 = - 2 or y = 2 + 4 = 6

Possible coordinates of point A are

A (0, - 2 ) or A (0, 6 )

can someone help me with these 3 pls?

Answers

The answer is definitely 21 cause yk 21

A car's value depreciates by 18% in its first year and is now worth £6789.
What was the original price of the car?

Answers

Answer:

  £8279.27

Step-by-step explanation:

The given relationship is ...

  (original price) × (1 - 18%) = £6789

Dividing by the coefficient of the original price, we find it to be ...

  original price = £6789/0.82 = £8279.27

The original price of the car was £8279.27.

Please I need a Hand
*How much money was in Caroline's account when it was opened? Explain.

*After 2 years, how much money would Caroline have saved? (Hint - convert years to months before solving). To earn full credit, show your work using a method explained in the Orientation.

Answers

Answer:

  A) $3100

  B) $6700

Step-by-step explanation:

A)

The first table entry is the value of the opening balance of Caroline's account.

$3100 was in Caroline's account when it was opened.

__

B)

After 1 month, the balance in Caroline's account increased by $3250 -3100 = $150. There are 12 months in a year, so after 2 years, Caroline will have made 12×2 = 24 additional deposits of $150. Her account value will be ...

  24 × monthly deposit + initial balance

  = 24 × $150 + $3100 = $3600 +3100 = $6700

Caroline would have saved $6700 after 2 years.

3x+15+2x+20 help pls solve for x​

Answers

Answer:

[tex]\boxed{\boxed{\sf 5x+35}}[/tex]

Step-by-step explanation:

[tex]\sf 3x+15+2x+20[/tex]

→ Combine like terms:

[tex]\sf 3x+2x+15+20[/tex]

[tex]\sf (3x+2x)\leadsto5x[/tex][tex]\sf (15+20)\leadsto 35[/tex][tex]\sf 5x+35[/tex]____________________________________

Which of these sets of ordered pairs satisfies and expertise equation

Answers

Answer:

the answer would be C guys

This one as well, does anyone know the answer?

Answers

D is the answer to the question

How many prime numbers are there between 50
and 75?

Answers

Answer:

All the prime numbers between 50 and 75 are 53, 59, 61, 67, 71 and 73.

Step-by-step explanation:

Answer:

51 53 57 59 61 69 71 73 these are the prime numbers

A cab company charges a $3 boarding rate in addition to its meter which is $2 for every mile. What is the equation of the line that represents this cab company's rate?

Answers

well im guessing it the average highway speed 60 mph so it is $7

What are the coordinates of point A?

o (5, 1)

(1, 5)

O (-1, 5)

Answers

Answer:

(1, 5)

Step-by-step explanation:

x  is 1 to the right

y is 5 up

Therefor

(1, 5)

Andrea has 473 scented stickers in her sticker book. How many tens of stickers does Andrea have?

7

40

47

70

Answers

Answer:

Andrea has 70

Step-by-step explanation:

7 is the tens place that would make it 70

Answer:

47

Step-by-step explanation:

Given:

473 scented stickers

To Find:

How many tens of stickers does Andrea have?

Solution:

To find the answer divided 473 by 10 = 47.3

That mean Andrea have 47 tens of stickers.

Therefore the answer is 47

Written as a rate, 15 miles in 10 hours would be ____ miles per hour.

Answers

Answer:

1.5 mph

Step-by-step explanation:

To find the Unit Rate, you need to divide 15 miles by 10 hours to get the # of miles per hour.

15/10 = 1.5

1.5 miles per hour.

Other Questions
Solve the inequality t/2 11 for t. A. 4 9 B. t 22 C. t 9 D. t 22 its so hard to type What time does the clock show?121112: 109384756. searching for identify in image culture Which headline best demonstrates a local political process?National Parks Receive Federal FundingNational Parks Receive Federal FundingPresident Signs Bill into LawPresident Signs Bill into LawHouston Elects New MayorHouston Elects New MayorState Seeks to Block Housing Near CoastState Seeks to Block Housing Near Coast Label each of the components in the equation below. What type of reaction is shown in the equation? Which of the following is NOT a factor that negatively influences teen drug abuse? A. Strong refusal skills B. Intense peer pressure C. Family members who abuse drugs D. Poor role models Please select the best answer from the choices provided. A B C D. Once overweight, Brenna's mother has started to lose weight as she's aged. At first, Brenna was happy to see this because she thought it may help her mother bounce back from future injuries. On the contrary, Brenna has started to notice that her mother is having more difficulty with walking and climbing stairs. Her doctor explains that this declining function is common in adults age 65 and older. What term describes the muscle wasting Brenna's mother is experiencing?a. sarcopenia b. aphasia c. kyphosis d. xrostomia Based on the gender and number of each subject belong, write the correct forms of the adjectives in parentheses. Find the product using formula ... formula = ( a + b ) ( a - b ) a) 1.2 2.8 DO NOT SPAM YOU WILL BE REPORTED ANSWER QUICK PLEASE Mason bought 16 tickets to a baseball game. The group rate saved him $5.75 per ticket He paid a total of $296.00 for the tickets. What was the regular price of a ticket to the game? Enter your answer in the box. pls help me;-; here is a screenshot of what i need help with Which expression is equivalent to 45 divided by (2 - x) 1. Find the x and y intercept for the function 3x-4y=12 very time Luisa bakes a batch of brownies, she uses 12 cup of chocolate. If she has 32 cup(s) of chocolate remaining, how many batches of brownies can Luisa make? Input your answer as a whole number Abreu knew that being able to play music was a precious gift. He wanted others to share in it, too. Which is the closest antonym for the word precious?Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selectedA. worthlessB. rareC. neatD. natural Spain is hotter than England ..England is colder than Spain Punching into the walls. His right hand was broken. (Punching)a)gerundb)participle Michael can swim 5 lengths of a swimming pool in 130 seconds.Use this information to show that he could swim 100 lengths in under 45 minutes Colby and Cheryl work in different local factories. Colby regularly earns $18 per hour, and he is paid time-and-a-half for each hour of overtime he works. Cheryl regularlyearns $16.60 per hour, and she is pald double time for an hour of overtime. Who earns more for one hour of overtime?How much more?.85