Use the diagram to answer, given that line LM is a common tangent to circle P and circle Q. Leave answers in simplified radical when necessary. (Please let me know if the first blank is correct and answer the second one.)

Use The Diagram To Answer, Given That Line LM Is A Common Tangent To Circle P And Circle Q. Leave Answers

Answers

Answer 1

Answer:

PL = 9

PN = 5√5

Step-by-step explanation:

8/12 = 6/PL

8PL = 72

PL = 9

PN² = 10² + 5² = 100 + 25 = 125

PN = √125 = 5√5


Related Questions

Carlos cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?

Answers

Answer:

Each piece of cloth is (1/12) of a yard long.

Step-by-step explanation:

Carlus cut 5/12 of a yard of cloth into 5 pieces of equal length.

To find the length of each piece of cloth, we need to find the quotient between the length of the piece of cloth, and the number of pieces in which we divide it.

This is:

length = [tex]\frac{(5/12)yd}{5} = \frac{5yd}{12*5} = \frac{1yd}{12} \frac{5}{5} = \frac{1 }{12} yd[/tex]

This means that the length of each piece of cloth is (1/12) of a yard long.

Answer:

1/12 trust,

because yes. >3

2022 / 2023

A bag contains 18 balls. There are 6 red balls, 6 yellow balls, and 6 green balls. A ball is drawn at random and returned. Then another ball is drawn at random. Select ALL statements that are true.

A. The expected probability of drawing a green ball first is the same as the expected probability of drawing a green ball second.

B.There are six possible outcomes.

C.The probability of drawing a red ball first is the same as not drawing a red ball second.

D.The expected probability of drawing a red ball and then a yellow ball is 19.

Answers

Answer:

There are 18 balls in the bag:

6 are red

6 are yellow

6 are green.

A ball is drawn at random and then returned.

Then another ball is drawn.

Now, let's analyze each option and let's see if it is true or not.

A) The probability of drawing at random a green ball is equal to the quotient between the number of green balls and the total number of balls.

Then for the first draw, the probability is 6/18

Because the drawn ball is returned, for the second draw we still have 6 green balls and 18 balls in total, then the probability still is 6/18

Statement A is true

B) if we define the notation:

YR

as:

Yellow in the first draw, red in the second draw.

The possible outcomes are:

YR

YG

YY

RR

RG

RY

GR

GG

GY

So we have a total of 9 outcomes, we also can calculate this in the following way:

For the first event (first draw) we have 3 possible outcomes (Y, G, and R)

For the second event (second draw) we have again 3 possible outcomes.

The total number of outcomes is the product between the possible outcomes for each event, this is:

3*3 = 9

Then statement B is false.

C) The probability of drawing a red ball first is:

p = 6/18

The probability of NOT drawing a red ball second, is equal to the probability of drawing a yellow or green ball second (we have 12 balls that are green or yellow, and 18 total balls) then this probability is:

q = 12/18

The probabilities are different, then we can conclude that statement C is false.

fD) The expected probabilty of drawing a red ball and then a yellow ball is the product of the individual probabilities, this is:

prob of drawing a red ball first = 6/18

prob of drawing a yellow ball second = 6/18

Joint probability:

P = (6/18)*(6/18) = (1/3)*(1/3) = 1/9

So statement D is true.  (it says 19, i suppose that there is a mistake in this sentence and it actually should say 1/9)

Find the unit rate.if 5 pounds of potatoes cost $8.60, how much does one pound of potatoes cost.​

Answers

$1.72. Mark as brainliest?

Answer:

1.72

Step-by-step explanation:

8.60= 5 Pounds

So you divide by 5

8.60/5

1.75

0.8 k - 20 = -60

what does ‘k’ equal?

Answers

Answer:

K = -50

Step-by-step explanation:

0.8(-50) - 20 = -60, because 0.8(-50) = -40, and when you subtract a negative you would "add" those numbers. So it would be 40 + 20 = 60, which would make it -60.

Answer:

k equals -50

Step-by-step explanation:

0.8 k - 20 = -60

0.8k = -60 + 20

0.8k = -0

k = [tex]\frac{-40}{0.8}[/tex]

k = -50

A rectangular piece of fabric was used to make a banner. It measured 12 feet long and had an area of 24 square feet. What is its perimeter?

Answers

Answer:

the perimeter is 28

Step-by-step explanation:

2+2=4

12+12=24

24+4=28

Answer:

Perimeter = 28 feet

Step-by-step explanation:

The formula to find the area of a rectangle is Length * width and we already have one dimension here, so we simply plug it in and make an equation to the find the unknown measurement

12 * d = 24

d = 24/12

 d = 2

So the missing dimension is 2 feet

Now we simply find the perimeter of the rectangle  using the formula

   2 ( length + width)

 = 2 (12 + 2 )

           = 2 ( 14 )

           = 28 feet

 

Suppose you know that the prices paid for cars are normally distributed with a MEAN or $17,000 and a STANDARD DEVIATION of $500. Use the EMPIRICAL RULE to find the percentage of buyers who paid

Answers

Complete question :

Suppose you know that the prices paid for cars are normally distributed with a MEAN or $17,000 and a STANDARD DEVIATION of $500. Use the EMPIRICAL RULE to find the percentage of buyers who paid between 15500 and 17000

Answer:

49.85%

Step-by-step explanation:

Mean = 17000

Standard deviation = 500

Obtain the Z score, which is the number of standard deviations from the mean :

((17000 - 17000) / 500) = 0

((15500 - 17000) / 500) = - 3

-3 to 3 = (3 standard deviations)

However,

The value here is (-3 to 0) ; which is only 3 standard deviations to the left.

3 standard deviation = 99.7% (empirical rule)

Since it is only (-3 to 0) ; which is only 3 standard deviations to the left. ; the percentage will be halved

99.7% / 2 = 49.85%

Hence, percentage of buyers who paid between 15500 and 17000 is 49.85%

2 students want pancakes and 9 students want waffles. What is the ratio of the number of
students who want pancakes to the number of students who want waffles?

Answers

Answer:

2:9

Step-by-step explanation:

To create the ratio, put the number of students that want pancakes to the number that wants waffles.

Since 2 want pancakes and 9 want waffles, the ratio will be 2:9

So, the answer is 2:9

Answer:

2:9

Step-by-step explanation:

beacause if every 2 students want pancakes and 9 want waffles

PLEASE HELP I don't understand this stuff yet. Brainliest give away!

Answers

Answer: I think the answer is B

Step-by-step explanation: My reasoning is that since some houses are expensive, and some houses are very cheap, the average house is in the middle, and that is the median.

Answer:

c bc he should use the median cause it is in the affect the mean

Step-by-step explanation:

what is the mean price of $29 $58 $15 $129 $75 $22

Answers

55 is your answer
each number added together sums up to $330
there are 6 numbers
if you divide 330 by 6 you will get 55

can someone pls help me with this question

Answers

Answer:

6

Step-by-step explanation:

The x intercept is the value of x when y equals zero. The table tells us that when x goes up by one, y goes down by two.

Knowing this, all we have to do is increase x by 1 and decrease y by two until y is zero, and we can look and see what x is.

I also made a visual in the file below if this is confusing

Duran is making party favors by placing a circular disk in the bottom of a plastic bag. Each disk has diameter of 6 centimeters. What is the area of the disk to nearest hundredth. ** Use 3.14

A. 18.84

B. 28.26

C. 91.06

D. 113.04

Answers

Answer:

B. 28.26

Step-by-step explanation:

Solve for x and round your answer to the nearest tenth.

Answers

Answer:

I believe it should be 32.9

Step-by-step explanation:

A single card is drawn from a standard 52 card deck.
Work out the probability of choosing the "5 of diamonds".
Give your answer

Answers

Answer:

1/52

Explanation:

plz help with everything in the pic

Answers

HERE I TOOK PICTURES

i only understand number 11

Please help I have been stuck for a while now

Answers

Answer:

B. Between x 2 and x 3

Step-by-step explanation:

pls help, The graph shown below shows the relationship between average heart rate (in beats per minute) of several
mammal species and their life expectancy (in years)

Answers

Answer:

The answer is Nonlinear Association

Hi There Answer Nonlinear Association

Step-by-step explanation:


What is the value of x?
A. 25°
B. 50°
C. 55°
D. 75°
E. 80°

Answers

Answer:

Option Bx = 50°

Step-by-step explanation:

By the condition,

25° + 105° + x = 180° [Angle sum property of triangle]

=> 130 + x = 180

=> x = 180 - 130

=> x = 50° (Ans)

I am not 100% but I guess it’s B

Write an equation of the line that passes through the given point P and has the given slope m.
P(9,4)
m = -1/3

Answers

9514 1404 393

Answer:

  y -4 = -1/3(x -9)

Step-by-step explanation:

The point-slope form of the equation for a line is useful for this.

  y -k = m(x -h) . . . . . . . line through point (h, k) with slope m

You are given (h, k) = (9, 4) and m = -1/3. Putting these values into the form gives the equation ...

  y -4 = -1/3(x -9)

pls help ! tysm!!!!!!!!!!

Answers

Answer:

332

Step-by-step explanation:

332

Answer is 332 hope this helps you have a great day

A sequence defined by the rule f(n)=4f(n-1)+2.if f(1)=3 then find f(4)=?

Answers

Answer:

f(4) = 6

Step-by-step explanation:

Given the rule f(n) = 4f (n - 1) + 2 where f(1) = 3, f(n) is just a fancy way to name the variable y. As you've seen before, there are equations that are usually y equals x and something. For example:

y = mx + b

is the same thing as

f(n) = y = mn + b.

It might be that you have multiple of the same equation where f(n) and f(x) have two different outcomes.

The f(n) part (bolded) is the "x variable" in this equation. So in f(1), n = 1.

f(n) = 4f (n - 1) + 2

f(n) = (4fn - 4f) + 2

f(n) = (n) + 2

f(1) = 1 +2

3 = 3

Now do the same thing for f(4):

f(n) = 4f (n - 1) + 2

f(n) = (4fn - 4f) + 2

f(n) = (n) + 2

f(4) = 4 + 2

f(4) = 6

Three students, Brayden, Adrian, and Aubrey, line up one behind the other. How many different ways can they stand in line?

Answers

9 different ways. Because there are three people and they can arrange themselves three ways three times three is nine.
Sense there is 3 students they can line up in 6 different orders

If a fair coin is tossed 6 times, what is the probability, to the nearest
thousandth, of getting exactly o heads?

Answers

Answer:

0

Step-by-step explanation:

the probability of getting 0 heads is not possible as either 1 side has to be a head or a tail

It cannot be none

Therefore...Probability is 0 of getting 0 heads

plz mark as brainliest

thanks

What are the steps to solving this?

Answers

Answer:

m = 6[tex]\sqrt{3}[/tex] , n = 6

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{m}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2m = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

m = 6[tex]\sqrt{3}[/tex]

and

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{n}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2n = 12 ( divide both sides by 2 )

n = 6

Fifteen 7th graders were asked how many hours they spend doing homework each week and how many hours they spend watching television each week. the results are shown in the dot plots below

Answers

Answer:

A.

18 > 14, true

B.

12 - 16 = -4, true

C.

Mean:

Homework = (4 + 6*2+10*3+12*2+14*4+16*2+18)/15 = 11.73Television = (0 + 10*3+12*1+16*3+18*4+20*3)/15 = 14.8

The difference:

14.8 - 11.73 > 1, NOT true

D.

True

HELPP! E(f + g) =




Help

Answers

What! You need more information if you want people to help you.

ANSWER NUMBER 2 PLEASE

1. The following test scores were collected from a math class: 84, 72, 78, 80, 75, 88, 43, 90, 75. Determine the outlier.

The outlier is 43.

2. Based on the data set in #1, which measure would better describe the test scores?

A. Mean
B. Median​

Answers

It would be the mean I’m pretty sure

Answer:

B: Median

Step-by-step explanation:

If there is an outlier then the median is better.

If there isn't an outlier then the mean is better.

Why is it not possible to make a right triangle using lengths of 4 feet, 8 feet, and 10 feet?

Answers

Answer:

because it does not follow the rule... you should be able to and any to side lengths and get an answer greater than the third side.

Danielle earns a 7.5% commission on everything she sells at the electronics store where she works. How much commission did she earn last week if she sold $3,500 in electronics merchandise?

Answers

Answer:

$262.5

Step-by-step explanation:

Given data

Commission earned= 7.5%

Sales for last week=  $3,500

Let us find the amount of the commission

=7.5/100* 3500

=0.075*3500

=$262.5

Hence the commission earned last week is

$262.5

hii please help i’ll give brainliest

Answers

Answer: Point K

Step-by-step explanation:

The first number is the x line and the second number is the y line <3  pls mark brainliest

What would the simplified equivalent of (3^-3)^2 be?

Answers

Answer:

3

-----

2

Step-by-step explanation:

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