Step 3: Let LM = x. We know the lengths of the radii of each circle, so KL = 12 +
8 = 20. Add the length of KL to the diagram.
J
12 K
20
L
X
M
12
00
8
N

Step 3: Let LM = X. We Know The Lengths Of The Radii Of Each Circle, So KL = 12 +8 = 20. Add The Length

Answers

Answer 1

Answer:

Step-by-step explanation:

Step 3:

Let LM = x

OK = KP = 12 units [Radii of circle K]

LN = LP = 8 units [Radii of circle L]

Therefore, KL = KP + PL

KL = 12 + 8

     = 20 units

Step 4:

Since, ΔKOM and ΔLNM are the similar triangles,

By the property of two similar triangles, corresponding sides of these similar triangles will be proportional.

[tex]\frac{OK}{NL}=\frac{KM}{LM}[/tex]

[tex]\frac{12}{8}=\frac{x+20}{x}[/tex]

12x = 8(x + 20) [By cross multiplication]

12x = 8x + 160

12x - 8x = 160

4x = 160

x = 40


Related Questions

Which of the following is an extranous solution

Answers

Answer:

x=2 is the answer

Step-by-step explanation:

How can Preena share 11 identical apples among 30 of her classmates evenly so that no apple is sliced into more than 10 pieces?

Answers

Answer:

Step-by-step explanation:

you can divide 11/30 and get 0.37

0.37%/ 100*11 =

Multiply:

0.37*11 =

add the 100 to the product you multiplied and divide them together:

4.07/100=

your quotient:

0.0407

round by 2 decimals:

0.04

your final answer is :

0.04

Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.



How long will it take Ted and Jacob to clear the field together?

Answers

Answer:

[tex]\frac{6}{5}[/tex] of an hour = 1 1/5 hour = 72 minutes

Step-by-step explanation:

[tex]\frac{1}{3} h + \frac{1}{2}h = 1\\\\\frac{2}{6} h + \frac{3}{6}h = 1\\\\\\\frac{5 }{6} h =1\\\\h=\frac{6}{5}[/tex]

It would take Ted and Jacob 6/5 or 1.2 hours to clear the field together.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Let's use the formula for the work rate:

Ted's work rate = 1/3 of the field per hour

Jacob's work rate = 1/2 of the field per hour

Together, their work rate.

= (1/3 + 1/2) of the field per hour

Now,

We can simplify the equation for the combined work rate by finding a common denominator:

(1/3 + 1/2)

= (2/6 + 3/6)

= 5/6 of the field per hour

Now we can use the formula for the work rate to solve the time it would take them to clear the field together:

(5/6)t = 1

(where t is the time in hours)

Solving for t:

(5/6)t = 1

t = 6/5

Therefore,

It would take Ted and Jacob 6/5 or 1.2 hours to clear the field together.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ7

in an isosceles triangle two sides are equal. the third side is 2 less than twice the length of the sum of the two sides. the perimeter is 40. what are the lengths of the 3 sides

Answers

Answer:

s for length of either equal side

b for the unequal side

b=-2+2*(s+s) and 2s+b=40

b=2*2s-2

b=4s-2

2s+4s-2=40

6s-2=40

6s=42

s=7

b=4*7-2

b=28-2

b=26

simplify(x_2y)(x_2y)_(x+2y)(x+2y)​

Answers

Answer:

-8xy

Step-by-step explanation:

Expand  

( x − 2 y ) ( x − 2 y )

x ⋅ x + x ( − 2 y ) − 2 yx − 2 y ( − 2 y ) − ( x+ 2 y ) ( x + 2 y )

x2−4xy+4y2−(x+2y)(x+2y)

x2−4xy+4y2+(−x−(2y))(x+2y)

Multiply2by−1.x2−4xy+4y2+(−x−2y)(x+2y)

x2−4xy+4y2−x⋅x−x(2y)−2yx−2y(2y)

x2−4xy+4y2−x2−4xy−4y2

− 8xy

Please help I don't understand this at all

Answers

Answer:

The answer is 48in

Step-by-step explanation:

I am pretty sure you add all the numbers together

please say me the answer fast with step by step process​

Answers

Yes I’m sorry but I’m sorry I’m texting back to my sister in

Find the measure of the indicated angle

Answers

Answer:

x = 70°

Step-by-step explanation:

Given is the isosceles triangle as two sides marked equal.

The missing angles measure the same.

Since the sum of interior angles of a triangle is 180°, we have:

40° + 2x = 180°2x = 140°x = 70°

It is an isosceles triangle,

The marked 2 sides of triangle are equal.

Now we have to,

find the measure of indicated angle.

General formula,

→ Sum of all sides of triangle = 180°

Then the value of x is,

→ 2x + 40° = 180°

→ 2x = 140°

→ x = 140/2

→ x = 70°

Therefore, 70° is the value of x.

6 times the diffrence of 12 and 9 divided by 3​

Answers

Answer:

1

Step-by-step explanation:

The difference of 12 and 9 is 12 - 9 = 3

Then 3 ÷ 3 = 1

find the coefficient of variation from the following data mean=4 variance=25​

Answers

hi i’m having a mental breakdown right now i just need answers

what is the range of this function 6 goes to 5 8 goes to -3 10goes to -8 and 12 goes to 7
a.(-3,7,8,12)
b.(-8,-3,5,6,7,8,10,12)
c.(-8,-3,5,7)
d.(6,8,10,12)

Answers

Answer:

C, {-8, -3, 5, 7}

Step-by-step explanation:

the range = the y-coordinates

i hope this helps you

Marcella incarica Dora di aiutarla a suddividere 35 perle tra le sue tre figlie. Alla figlia maggiore vuole regalare la metà, alla mediana la terza parte e alla minore la nona parte. Inoltre Marcella vuole dare una perla a Dora come ricompensa. Quante perle riceverà ciascuna figlia?

Answers

Answer:

La hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.

Step-by-step explanation:

Dado que Marcella le pide a Dora que la ayude a dividir 35 perlas entre sus tres hijas, y quiere darle la mitad a la hija mayor, la tercera parte a la del medio y la novena a la menor y, además, Marcella quiere darle una perla a Dora como recompensa, para determinar cuántas perlas recibirá cada hija se debe realizar el siguiente cálculo:

35 / 2 = Mayor = 17.5 perlas

35 / 3 = Medio = 11.66 perlas

35 / 9 = Menor = 3.88 perlas

Así, la hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.

If < A and < B are complementary, and < A = 3x + 4 degrees, while < B = 6x - 4 degrees, find x.
Select one:
a. 10
b. 4
c. 9
d. 21

Answers

Answer:

a

Step-by-step explanation:

complementary angles sum to 90° , so

3x + 4 + 6x - 4 = 90

9x = 90 ( divide both sides by 9 )

x = 10

Find the length of line segment XY, assuming that M is the midpoint of XY

Answers

Answer:

Step-by-step explanation:

M is the midpoint. SO length of XM  equals length of MY

MY = XM

9x + 12 = 5x + 8

Subtract 12 from both sides

9x  = 5x  +8 - 12

9x = 5x  - 4

Subtract 5x from both sides

9x - 5x = -4

      4x = -4

Divide both sides by 4

x = -4/4

x = -1

XY = 5x + 8

     = 5*(-1) + 8

     = -5 + 8

XY = 3

MY = 9x + 12

     = 9*(-1)1 + 12

     = -9 + 12

MY = 3

X Y = 3+3

XY = 6

What is the value of (3/10)^3?

♡ 3/1000
♡27/1000
♡9/10
♡27/10

Answers

Answer:

27/10 is the value of (3/10)^3.

Step-by-step explanation:

It is also written as 0.027

The side of an equilateral triangle is 22. Find the exact length of the altitude.
Use the exact value, meaning leave your answer with a radical.
PLEASE HELP THE TEST IS DUE IN 5 MINS

Answers

Step-by-step explanation:

here's the answer to your question

Selecting a few households from New York City and observing whether or not they own stocks when it is known that 28% of all households in New York City own stocks. Is this experiment a binomial experiment? Explain why.

Answers

Answer:

Since for each household there are only two possible outcomes, the a household owning stock is independent of any other household and there is a fixed number of trials, this experiment is a binomial experiment.

Step-by-step explanation:

We have to take into consideration three things:

For each household, there are only two possible outcomes, either they own stocks, or they do not.

The probability of a household owning stock is independent of any other household, that is, for any household, the probability of someone owning stocks is 28%.

There is a fixed number of trials.

Is this experiment a binomial experiment?

Since for each household there are only two possible outcomes, the a household owning stock is independent of any other household and there is a fixed number of trials, this experiment is a binomial experiment.

Two men p and q set off from a base camp r prospecting for o,p moves 40km on a bearing 205 degree and q moves 30km on a bearing of 060 degree
a. Find the distance of q from p
b. The bearing of q from p​

Answers

Answer:

(a) By cosine rule, /PQ/2=202+152−2×20×15×cos145°

= 400+225−600cos145°

= 625+600×0.8192

= 491.52+625

/PQ/2=1116.52⟹/PQ/=1116.52−−−−−−√=33.41

≊33km ( to the nearest whole number)

(b) By sine rule,

sin<QPR15=sin14533.41

sin<QPR=15sin14533.41

sin<QPR=15×0.573633.41=0.2575

<QPR=14.92°

∴ Bearing of Q from P = 25° + 14.92° = 39.92°.

≊40° (to nearest whole number)

Step-by-step explanation:

hope it helps

...

if f(x) = 3x - 12 what is f(2)

Answers

Answer:

-6

(3*2)-12

6-12

-6

Step-by-step explanation:

Answer:

[tex]f(2) = -6[/tex]

Step-by-step explanation:

[tex]f(x) = 3x - 12[/tex]

[tex]f(2) = 3(2) - 12[/tex]

[tex]f(2) = 6 - 12[/tex]

[tex]f(2) = -6[/tex]

Hope it is helpful....

Find the missing angle measures.​

Answers

Answer:

<ABD = 42 degrees

<ABC = 84 degrees

Step-by-step explanation:

<ABC = 42 + 42 = 84

Need help on this!!! 7 points!!!!

Answers

Answer:

your answer is (2,3) i think so .......am i right...or wrong..

The Students in a school can be arranged in 12, 15, 18 equal rows and also into a solid square. What is the lowest number of students that can be in the school? (Hint: find the LCM)

Answers

Answer:

180

Step-by-step explanation:

What number could replace the box so that the system of equations has
infinitely many solutions?

A. -9

B. 3

C. 9

D. -3

Answers

Answer:

d  || if its wrong cancel me lol <3

Step-by-step explanation:

help plsssssssssssssssssssssssssssssss

Answers

Answer

5

All you need to know to solve this problem is the pythogorean theorem. If you draw an imaginary line to make a triangle and a rectangle, you already know the height is 4. To find the base, you know that the bottom length is 9 and the top is 6 so 9-6 =3, which is the length of only the left side of the imaginary line.

So 4^2 + 3^2 = c^2

25 = c^ 2

5 = c

Hope that helps!

Hope this will hopeful

What is true about an equation with infinite solutions?
When both sides of the equation are simplified, the coefficients are the same.
When both sides of the equation are simplified, the constants are different.
There are no input values that will result in a true statement.
Only one input value will result in a true statement.

Answers

When both sides of the equation are simplified, the coefficients are the same.

Step-by-step explanation:

An equation has infinite solutions when both sides of the equation are simplified, the coefficients are the same

Answer:

The answer is A.

Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway.

Answers

What is the question being asked here?


The total profit P of manufacturing x hundred DVD's is given by the equation below.
P = 600 + 1,500x − 100x2
Find x if the total profit is $5,600.

Answers

Answer:

x = -7.5

Step-by-step explanation:

P = 600 + 1,500x − 100x^2

P = − 100x^2 + 1,500x + 600

x = -b/2a

1500/ (2 x -100)

x = -7.5

I need some one to help me!!

Is (7, 0) a solution to the equation y = x − 7?

Answers

Answer:

Yes

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Coordinates (x, y)

Step-by-step explanation:

Step 1: Define

Identify

Point (7, 0)

Equation y = x - 7

Step 2: Find

Substitute in point [Equation]:                                                                         0 = 7 - 7Subtract:                                                                                                            0 = 0

Since 0 = 0 is true, then it would be a solution to the equation.

Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest form.

Answers

Answer:

[tex]a_n = -11-14n[/tex]

Step-by-step explanation:

Given

[tex]a_1 = -25[/tex]

[tex]a_n = a_{n-1}-14[/tex]

Required

The explicit formula

First, calculate [tex]a_2[/tex]

Set n=2; So:

[tex]a_2 = a_{2-1}-14[/tex]

[tex]a_2 = a_{1}-14[/tex]

Substitute -25 for [tex]a_1[/tex]

[tex]a_2 = -25-14[/tex]

[tex]a_2 = -39[/tex]

Calculate the common difference (d)

[tex]d = a_2 - a_1[/tex]

[tex]d = -39 --25[/tex]

[tex]d = -14[/tex]

So, the nth term is:

[tex]a_n = a_1 + (n - 1)d[/tex]

[tex]a_n = -25+ (n - 1)*-14[/tex]

Open bracket

[tex]a_n = -25-14n + 14[/tex]

Collect like terms

[tex]a_n = 14-25-14n[/tex]

[tex]a_n = -11-14n[/tex]

write a function rule for the following data

Answers

The answer is B, hope this helps- brainliest if you can please thanks
yup the answer is B you just need to try
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