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.

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The answer is G which is 16.

Step-by-step explanation:

To solve the problem multiply 25/125 times 80.

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What question did you eat the last day?

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?

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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’ )϶

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[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]

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

Can somebody help ???

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Answer:

2/5, a and b

Step-by-step explanation:

This one as well, does anyone know the answer?

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D is the answer to the question

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.

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.

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

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

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

Answer:

This is True

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Let x = 0.366666666.....

Then

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Answers

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

i

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Answer:

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Answer:

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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.

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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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]

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

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

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y = 2 ± 4

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Answers

Answer:

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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 ...

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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]____________________________________

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f(x) = -7x2 – 3
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Answers

Answer:

its x: x< -3

Step-by-step explanation:

ya

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Answer:

I think it would be A??? idfk man

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Answers

Answer:

(1, 5)

Step-by-step explanation:

x  is 1 to the right

y is 5 up

Therefor

(1, 5)

Which of these sets of ordered pairs satisfies and expertise equation

Answers

Answer:

the answer would be C guys

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