if PQ and PR are tangent to circle S,find PQ

If PQ And PR Are Tangent To Circle S,find PQ

Answers

Answer 1

Answer:

From one point, you can draw two tangents to a circle. These two tangents will be equal.

Step-by-step explanation:

7x - 24 = 57 - 2x.

Rearrange the numbers (by adding 2x and 24 on both sides), we get:

7x+2x = 57 + 24

9x = 81.

x = 9.

Length of PQ = 57-2x = 57 - 18 = 39

Answer 2

If PQ and PR are tangent to circle S, then the value of PQ is 39.

What is tangent?

"A line that touches the circle at a single point is known as a tangent to a circle."

What is circle?

"A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre."

P is the exterior point of a circle.

PQ and PR are the tangents to circle S.

According to theorem,

The lengths of the tangents drawn from a same external point to a circle are always equal.

7x - 24 = 57 - 2x

7x + 2x = 57 + 24

9x = 81

x = 9

PQ = 7x - 24

PQ = 7(9) - 24

PQ = 63 - 24

PQ = 39

Hence, the value of PQ is 39.

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Related Questions

Does the function model exponential growth decay? g(x)= 1/3 • (2/9)​

Answers

Answer:

Decay because 1/3 is between 0 and 1

Answer:

decay

Step-by-step explanation:

WILL GIVE BRAINLIEST!
A custom-illustrated sign or banner can be commissioned for a cost of $20 for the material and $12.50 per square foot for the artwork. The equation that represents this cost is given by y = 12.50x + 20, where y is the cost and x is the number of square feet in the sign.

Graph this equation for values of x from 0 to 20.
The point (5, 82.5) is on the graph. Select a sentence that describes the meaning of this ordered pair.
A. It costs $5 for a custom sign 82.5 ft2 in area.
B. It costs $12.50 for a custom sign 20 ft2 in area.
C. It costs $20 for a custom sign 12.50 ft2 in area.
D. It costs $82.50 for a custom sign 5 ft2 in area.
E. It costs $270 for a custom sign 20 ft2 in area.

Answers

Answer:

D

Step-by-step explanation:

12.50 x 5 = 62.5

62.5 + 20 = 82.5

Solve for x in a triangle. Round your answer to the nearest hundredth

Answers

The answer is 9tan(44)
I don’t have my calculator nearby so just type that in.

Answer:

x= 8.69

Step-by-step explanation:

tanx = opp/ adj

tan44° = x/9

x= tan44° * 9

*make sure your calculator is in degree mode

x= 8.69

1. Both of the equations shown have the same solution when solved for x. What is the value of k? Show or explain all your work.
Captionless Image
Your answer

Answers

Answer:

1

Step-by-step explanation:

you need to multiplau with is 12x+9-42

Logan collected pledges for the charity walk-a-thon. He is receiving total contributions of $65 plus $20 for every mile he walks. How many miles will Logan need to walk in order to receive $325?

Answers

Answer:

Number of miles= 13

Step-by-step explanation:

Giving the following information:

He is receiving total contributions of $65 plus $20 for every mile he walks.

To calculate the number of miles to reach $325, we need to use the following formula:

Total collection= fixed contribution + variable contribution per mile*number of miles

325= 65 + 20*number of miles

260/20 = number of miles

number of miles= 13

A rectangle is 7 ft by 12 ft. Find the length of its diagonal. Round to the nearest tenth.

Answers

Answer:

13.9

Step-by-step explanation:

7² x 12² = 49 + 144 = 193

√193= 13.89

Divide the rectangle into two right triangles, like in the photo

you now have two congruent right triangles with 7ft and 12ft long legs

Use the pythagorean theorem to find the missing diagonal length (aka hypotenuse)

7^2 + 12^2 = c^2

49 + 144 = c^2

c^2 = 193

Square root both sides to get rid of the ^2

c = 13.9 ft

What are the odds that the spinner lands on red or the number 4?
4
4
2
33

Answers

Answer:

5 to 3

Step-by-step explanation:

The desired outcomes are 4 or red.

Here are all the possible outcomes:

1 red

1 red

1 red

2 green

3 blue

3 blue

4 yellow

4 yellow

The desired outcomes are in boldface. There are 5 desired outcomes.

There are 3 outcomes that are not desired.

odds of 4 or red = 5 to 3

Answer:

5/8

Step-by-step explanation:

If the length of SR is 4 meters and the length of ST is 8 meters , what is the length of PQ in meters

Answers

Answer:

the length of PQ is 8.9 m

Step-by-step explanation:

The computation of the length of PQ in meters is shown below:

Here we applied the Pythagoras theorem

c² = a² + b²  

 = 4² + 8²

 = 16 + 64

= 80

Now square root to the both sides

c = √80

=  8.94427191

= 8.9 m

Hence, the length of PQ is 8.9 m

Solve algebraically the simultaneous equations
x^2– y^2 = 24
x= 3 + 2y
Write your two pairs of answers in this form:
when x =... y =...
When x=... y=...

Answers

Answer:

(5, 1) and (-5, -7)

Step-by-step explanation:

Given the simultaneous equations

x^2– y^2 = 24 .... 1

x= 3 + 2y .... 2

Substitute 2 into 1

(3-2y)^2-y^2 = 24

Expand

9 - 12y + 4y^2 - y^2 = 24

9 - 12y + 3y^2 = 24

3y^2 - 12y + 9-24 = 0

3y^2 -12y -15 = 0

y^2-4y-5 = 0

y^2+5y - y - 5 = 0

y(y+5) - 1 (y+5) = 0

y-1 = 0 and y+5 = 0

y = 1 and -5

Substitute the values of y into 2

Recall that x = 3+3y

when y = 1

x = 3 + 2(1)

x = 5

when x = -5

x = 3 + 2(-5)

x = 3 - 10

x = -7

Hence the solutions are (5, 1) and (-5, -7)

Find the area of the polygon. Please help.

Answers

Answer:

40 units

Step-by-step explanation:

The area of this rhombus can be broken up to four 4 by 5 right triangles, each having an area of 4*5/2=10, so the answer to your desired question is 10*4=40

Hey there!

The correct answer is 40 units squared.

We can solve this by breaking up the shape. There are four equivalent right triangles, so we can solve for one, and multiply it by 4! The area of a triangle is bh/2 or base * height / 2. So, we can set up the following equation:

(4 * 5) / 2 = area

20 / 2 = area

10 = area

Now we can multiply it by 4, which gives us 10 * 4 or 40.

Have a terrificly amazing day! :D

5x and x+5 is this equivalent if so explain even if it isn’t still explain lol

Answers

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

No it is Not Equivalent

Step-by-step explanation:

5x and x + 5 are NOT equivalent because 5x would be 5 times x or 5(x) but for x + 5 it is just 5 + x they will not be the same value either.

If you need to construct a dog run for your dog and the total perimeter needs to be 40 feet, and you only have enough room to make it 5 feet wide, how long can you make the dog run?

Answers

Answer:15 ft

Step-by-step explanation:

Given

The total perimeter needed is [tex]40\ ft[/tex]

The available width of the room is [tex]w=5\ ft[/tex]

Suppose l is the length of the room

So, the perimeter of a rectangle-shaped room is [tex]2(l+w)[/tex]

Putting values

[tex]\Rightarrow 40=2(l+5)\\\Rightarrow l+5=20\\\Rightarrow l=15\ ft[/tex]

Solve the equation 7= -108 – 3.​

Answers

move 7 to the other side making it negative
-108-3-7 = -118

Answer:

s=-1

Step-by-step explanation:

Hiiooo! Can someone please help ❤️❤️❤️

Answers

Answer:

tan x =  [tex]\frac{f}{e}[/tex]

cos x = [tex]\frac{e}{d}[/tex]

sin x = [tex]\frac{f}{d}[/tex]

Step-by-step explanation:

tan = [tex]\frac{opposite}{adjacent}[/tex]

tan x = [tex]\frac{f}{e}[/tex]

cos = [tex]\frac{adjacent}{hypotenuse}[/tex]

cos x = [tex]\frac{e}{d}[/tex]

sin = [tex]\frac{opposite}{hypotenuse}[/tex]

sin x = [tex]\frac{f}{d}[/tex]

Combine the like terms to create an equivalent expression. 7n + 4n

Answers

Answer:

11n

Step-by-step explanation:

HEEEEEEEEEELPPP I NEED ANSWER HELP

A bakery sold 154 mocha cupcakes in a day, which was 35% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?

Answers

440 bevause 154 is 35 percent of 440

The 154 mocha cupcakes represents a proportion of the total cupcakes sold in the bakery. The total number of cupcakes sold in the bakery on that day is 440.

Given that:

[tex]Mocha = 154[/tex]

From the question, we understand that the bakery sells other cupcakes too.

And Mocha only represents 35% of the total.

This means that:

[tex]Mocha = 35\% \times Total[/tex]

So, we have:

[tex]154 = 35\% \times Total[/tex]

Make Total the subject

[tex]Total = 154 \div 35\%[/tex]

[tex]Total = 440[/tex]

Hence, 440 cupcakes were sold on that day.

Read more about proportions at:

https://brainly.com/question/11654319

The volume of a rectangular prism is 300 ft 3 . If the area of the base is 12 ft 2 , what is its height?

15 feet
24 feet
12 feet
25 feet

Answers

Answer: pretty sure 25 feet

Step-by-step explanation:

The point (3,-1) is on the line given by which equation below?
HELPP MEE PLSS

Answers

Answer:

your answer will be C. y = x-4

Step-by-step explanation:

hope it helps you...

subtract and simplify 5 6/9 - 2 1/3

Answers

Answer:

Your answer should be 3 1/3

Step-by-step explanation:

:)

x^2 - 6x+ 5= -11 number and type of solutions

Answers

Answer:

no real solutions

3±32i

Step-by-step explanation:

used quadratic formula

Here is a right square pyramid. The length of each side of the base is 3 cm. The height of the pyramid is 8 cm. What is the volume of this pyramid?

Answers

9514 1404 393

Answer:

  24 cm³

Step-by-step explanation:

The volume is given by the formula ...

  V = 1/3s²h

where s is the side length of the square base, and h is the height.

  V = (1/3)(3 cm²)(8 cm) = 24 cm³

The volume of the pyramid is 24 cm³.

y is less then or equal to 1/2x plus 2

Answers

2

Step-by-step explanation:

I think it 4/2 because I multiplied it

The digit 4 has a greater value in because its value is as much as its value in .

Answers

Question:

Fill in the blanks to complete the statements about the numbers 0.04 and 0.004. In 0.04, the digit 4 is in the place. In 0.004, the digit 4 is in the place.

The digit 4 has a greater value in because its value is as much as its value in

Answer:

The digit 4 has a greater value in because its value is as much as its value in  0.04

Step-by-step explanation:

Given

0.04 and 0.004

Required

Which has a greater value of 4

In 0.04, the value of 4 is hundredths i.e. 0.01

In 0.004, the value of 4 is thousandths i.e. 0.001

By comparison:

[tex]0.01 > 0.001[/tex]

So, 4 has a greater value in 0.04 than 0.004

I need help on solving these problems.

Answers

Answer:

the fist one is A and the second one is D

Step-by-step explanation:

You deposit $1500 in an account that pays 5% interest compounded yearly. Find the balance after 6 years. please help

Answers

1500+5%= 1505 that is the answer I got I hope this was helpful

Look at the picture please

Answers

Answer:

c=10

Step-by-step explanation:

Hope it helps. Doing all your questions that you send XD

Answer:

10

Step-by-step explanation:

using the pythagorean theory the missing side would be [tex]c^{2}[/tex] bs its the hypotenuse so

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]8^{2} + 6^{2} = c^{2}[/tex]

[tex]64 + 36 = c^{2}[/tex]

[tex]100 = c^{2}[/tex]

and the square root of 100 is 10, which makes your equation

[tex]c = 10[/tex]

PLSSSSSSSS HELPPPPPP ASAPPPPP

Answers

I believe that the answer is A

In a survey 80 students were asked to name their favorite subject.30 students sad. English was their favorite subject. What percent of the students surveyed said that the English was their favorite subject.∛

Answers

Answer:

37.5%

Step-by-step explanation:

30/80=37.5 percent

Answer:

37.5% of students say English is their favorite subject

Step-by-step explanation:

30/80=0.375----Divide the amount of students that like English(30) by the total amount of students who took the survey.(80)

0.375=37.5%----Turn your decimal answer to a percentage to get 37.5%!

Help I’ll give Brainly est

Answers

the answer is C i think

Answer:

2x is less than 8 or B

Step-by-step explanation:

When looking at the number line you got to look to see if the circle is closed or not. In this case it is a closed circle meaning to include the number. Then look at what direction it is going toward. Is it increasing? Is it decreasing? In this case it is decreasing. Meaning that 2x is less than 8

NOT A - Reason why it is not a is because 8 is not included in the range of numbers

NOT C

The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the base area of the
cone. What is the expression for the volume of the pyramid in terms of the radius r of the cone?

Answers

Answer:

jhhfhgk

Step-by-step explanation:

Answer:

Hey, the correct nswer is option A

Step-by-step explanation:

A. V = [tex]\pi[/tex]r3

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