JL is a common tangent to circles M and K at point J. If angle MLK measures
619, what is the length of radius MJ? Round to the nearest hundredth. (Hint:
Show that triangles LMJ and LKJ are right triangles, and then use right triangle
trigonometry to solving for missing sides of the right triangles.) (10 points)

pls help

JL Is A Common Tangent To Circles M And K At Point J. If Angle MLK Measures619, What Is The Length Of

Answers

Answer 1

Answer:

MJ = 6.5

Step-by-step explanation:

Tangent lines to a circle are perpendicular to the radius.

tan 68° = JL/3

2.4751 = JL/3

JL = 7.4253

∠JLK = 90° - 68° = 22°

∠MLJ = 61° - 22° = 39°

sin 61° = MJ/7.4253

MJ = 7.4253(0.8746) =  6.5

Answer 2

The length of radius MJ is 5.99 units

How to calculate the radius MJ?

Start by calculating the length JL using the following tangent ratio

tan(68°) = JL/3

Make JL the subject

JL = 3 * tan(68°)

Evaluate the product

JL = 7.4

From the figure, the measure of angle MLJ is:

∠MLJ = MLK - JLK

Where:

∠JLK = 90° - 68° = 22°

So, we have:

∠MLJ = 61 - 22

∠MLJ = 39

The radius MJ is then calculated using the following tangent ratio

tan(39) = MJ/JL

This gives

tan(39) = MJ/7.4

Make MJ the subject

MJ = 7.4 * tan(39)

Evaluate

MJ = 5.99

Hence, the length of radius MJ is 5.99 units

Read more about line of tangents at:

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Related Questions

(I’ll give brainliest)Find the area of the circle below leave your answer in terms of Pi

Answers

Answer:

I think it's 20 i'm not so sure if you get it wrong than i'm sorry


PLSZSZ HELPPPP

The daily low temperatures
for Fairbanks, Alaska are
shown in the table. What
was the mean low
temperature for Fairbanks,
Alaska for January 1st-4th?

Answers

Answer: -16

Step-by-step explanation: The answer is -16 because you are looking for the median and you sort it out first:

-16.3, -16.1, -15.9, -15.7 cross them out and you should have -16.1 and -15.9 remaining. Add them (-32) then divide by 2. Then you should get -16. You’re welcome.

Find the measure of the indicated arc

Answers

Step-by-step explanation:

We know that if an arc subtends an angle of theta , with a radius r , then the measure of arc is theta . Here theta is 109° .

[tex]\implies l = r\theta \\\\\implies l = r\times 109^{\circ}\\\\\implies l = r \times \dfrac{109}{180}\pi rad \\\\\implies \boxed{\boxed{ l = 0.6\pi r m }}[/tex]

where r will be the radius .

I’m trying to bring my grade up by doing some makeup work so can someone please answer this for me please

Answers

Answer:

A and B (answer #2)

Step-by-step explanation:

right triangles: c^2 = a^2 + b^2

c is the largest side

for A: c = 5, a = 3, b = 4

5^2 = 3^2 + 4^2

25 = 25, so A is a right triangle

for B, c = 13, a = 5, b = 12

13^2 = 5^2 + 12^2

169 = 169, so B is a right triangle

for C, c = 4, a = 2, b = 3

4^2 = 2^2 + 3^2

16 ≠ 13, so C is not a right triangle

So, A and B are right triangles.

ansswer ; a and b

..

x-intercept of 5 and a y-intercept of -4.
Write this street's equation in slope intercept form.

Answers

Answer:

y = 5x -4 or you could also write y = 5x + -4

it's still the same thing.

Step-by-step explanation:

The cost of a school banquet is $95 plus $15 for each person attending .write an equation that gives total cost as a function of the number of people attending.what is the cost for 77 people

Answers

So, y = mx + b.

Identify the variables

m is for how many people is attending to the school banquet.

x is for the cost for each person attending

b is for the cost of a school banquet

m = 77, x = 15, b = 95

Now plug in the variables

y = 77(15) + 95

Solve:

77 (15) = 1155

1155 + 95 = 1250

Your answer is $1250.

(I hope this is correct)

which expressions is equivalent to 4(2x+3y)​

Answers

Answer: 8x+12y

Step-by-step explanation:

Assuming this is a problem in a unit on distributive property, and thus, due to the apparent lack of options, will solve it as such:

The distributive property dictates that a(b+c) = ab+ac.

Thus,

4(2x+3y)

8x+12y

Hope it helps :)

Answer:

8x+12y

Step-by-step explanation:

Multiply both numbers times the number is outside the parenthesis

what is the negative x-intercept of y=x^2-2x-3 PLEASE HELP!!​

Answers

Answer:

(-1,0)

Step-by-step explanation:

2
Jillian numbered 10 counters from 1 through 10 and placed them in a cloth bag. She then performed an experiment where she
drew one counter, recorded its number, and then replaced it. Jillian did this 25 times. The results of Jillian's experiment are shown
in the table.
Jillian's Experiment
Counter Number of
Number Times Drawn
1
4
2
3
4
4
3
2
5
6
3
7
0
3
8
9
2
10
3
What is the experimental probability of drawing a number 1 counter followed by a number 6 counter?
OA
1 of 10 Answered
Session Timer: 1:22
Session Score: 096 10/11

Answers

Answer:

8/625

Step-by-step explanation:

bc i guessed and its says 8/625

hi amazing people please help i’ll give brainliest thanks!

Answers

Answer:

I dont think so: False

Step-by-step explanation:

If they are team rivalries, They would talk about how they are always one above the other. Such as One winning and one losing or a 50/50 chance.

Segment AB has endpoints A(-2, 8) and B(4,0). The segment is dilated about the origin by a scale factor of 0.5 to create segment AB

What are the endpoints of segment AB?

select both endpoints

(-2,8)

(-1,4)

(0,0)

(1,4)

(2,0)

(4,0)


[please help, i would appreciate it alot]

Answers

Answer:

Step-by-step explanation:

(-1,4) (1,4) 2,0

The endpoint of the line segment will be (-1, 4) and (2, 0). Then the correct options are B and E.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.

Section Stomach muscle has endpoints A(- 2, 8) and B(4,0). The section is widened at the beginning by a scale variable of 0.5 to make a fragment of the Stomach muscle.

The endpoint of the line segment is given as,

A = 0.5(-2, 8)

A = (-1, 4)

B = 0.5(4, 0)

B = (2, 0)

The endpoint of the line fragment will be (- 1, 4) and (2, 0). Then the right choices are B and E.

More about the dilation link is given below.

https://brainly.com/question/2856466

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What is the volume of a square prramid with base edges 24m and slant height 13m? A 960 m B 2496 m C 2880 m D 4800 m

Answers

Answer:

B

Step-by-step explanation:

https://keisan.casio.com/exec/system/1223352513

Answer:

B

Step-by-step explanation:

24 x 13 squared = 2496

Solve the question ?
Look at the angle

Answers

Answer:

there is a cockroach on your screen bro

Answer:

=62°

Step-by-step explanation:

right angle = 90°

90-28=62

The crescent park carousel is 50 ft in diameter and travels 9 miles per hour how many minutes will it take to complete 30 revolutions

Answers

Answer:

Step-by-step explanation:

The crescent park carousel is 50 ft in diameter and travels 9 miles per hour how many minutes will it take to complete 30 revolutions


i give brenliest


The Pythagorean Theorem for a right triangle is a2 + b2 = c2, where
a and b are the legs of the triangle and c is its hypotenuse. The shorter
leg is 10 inches less than the other leg, and the hypotenuse is 10 inches
longer than that other leg. What is the length of the hypotenuse?
b) 40 inches
a) 30 inches
c) 50 inches
d) 60 inches

Answers

Answer:

C) 50

Step-by-step explanation:

One leg is 30, the other is 40, and the hypotenuse is 50

Please brainliest!

samantha gathered the following information on a given day at the dog park

Answers

Answer:

Ok

Step-by-step explanation:

The table completely to represent Samantha's data is

Dogs Puppies  Not Puppies Long Hair Not Long Hair

3232 1515    1717                  1111                 606

How to form two-way table?

Suppose two dimensions are there, viz X and Y. Some values of X are there as X_1, X_2, ... , X_n and some values of Y are there as Y_1, Y_2, ... , Y_n

List them in title of the rows and left to the columns. There will be n \times k table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of  X_i  and Y_j  (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

We are given that;

Number of dogs playing=3232

Number of puppies=1515

Now,

We can calculate the number of dogs that have long hair by using the information that there are 66 more dogs that have long hair than dogs that do not have long hair. We know that there are 1111 dogs that have long hair and 1717 dogs that are not puppies. So, the number of dogs that do not have long hair is 1717 - 66 = 1651.

We can also check that the total number of dogs is equal to the sum of the number of puppies and the number of not puppies. 1515 + 1717 = 3232.

Therefore, the table will be;

Dogs Puppies  Not Puppies Long Hair Not Long Hair

3232 1515    1717                  1111                 606

Learn more about two-way table here:

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The complete question is;

Samantha gathered the following information on a given day at the dog park.

• There are 3232 dogs playing at the dog park.

• 1515 of the dogs are puppies.

• 1111 of the dogs are not puppies and have long hair.

• There are 66 more dogs that have long hair than dogs that do not have long hair.

Fill in the table completely to represent Samantha's data.

Ordena los términos del 1 al 5, de tal manera que
cada término se construya del término (s) anterio
Explica por qué cada figura está en el lugar que
eliges. Los términos son: cuadrilátero, cuadrado
rombo, rectángulo y paralelogramo​

Answers

Answer:

El orden es;

1) Cuadrilátero, 2) Rombo, 3) Paralelogramo, 4) Rectángulo, 5) Cuadrado

Step-by-step explanation:

Los términos dados son;

Cuadrilátero; Una forma con cuatro lados

Rombo; Un cuadrilátero con cuatro lados iguales

Cuadrado; Un cuadrilátero con cuatro lados iguales y cuatro ángulos iguales y dos lados paralelos opuestos

Rectángulo; Un cuadrilátero con cuatro ángulos rectos y dos lados paralelos opuestos

Paralelogramo; Un cuadrilátero con un par de lados paralelos opuestos

Observamos que todos los términos son cuadriláteros, por lo tanto, el cuadrilátero es el primer término

Por lo tanto, tenemos,

La primera forma es el cuadrilátero,

El cuadrilátero se transforma en un rombo (un cuadrilátero con lados iguales)

El ángulo del rombo se ajusta para dar un paralelogramo

El ángulo de paralelogramo dado cuatro ángulos iguales de 90 ° para dar un rectángulo

El rectángulo se ajusta para dar un cuadrado con todos los lados iguales

Which set of lengths could not form a triangle?
O {5, 7, 10}
O {2,4,5)
O {8, 12, 5)
O {15, 7, 6)

Answers

Answer:

1.{8,12,5

Step-by-step explanation:

please click the heart and rate excellent and brainleist

please☺️☺️

Which One Doesn't Belong?
Choose the shape that does NOT belong with the
others.
Explain your thinking .

Answers

Trapezoid because it’s the only shape that has only one pair of parallel lines

Help ASAP!! Geometry -

Find the volume of the solid. (FSSS!) Round answers to the nearest hundredth.

Answers

Answer:

x = 9.27 cm

Volume = 289.2 cm³

Step-by-step explanation:

SA = Surface Area

SA = 229.2 cm²

P = Perimeter of Base

P = 3(6)

P = 18 cm

H = Height of Solid

H = x

A = Area of Base(Equilateral Triangle)

A = 6²√3 / 4

A = 36√3 / 4

A = 9√3

A = 9(1.732)

A = 31.176

A = 31.2 cm²

SA = Surface Area

SA = PH + 2A

229.2 = 18x + 2(31.2)

229.2 = 18x + 62.4

229.2 - 62.4 = 18x

166.8 = 18x

9.266 = x

9.27 = x

x = 9.27 cm

V = Volume

V = AH

V = 31.2(9.27)

V = 289.224

V = 289.2 cm³

Nolan rode his bicycle from his house to the store at a speed of 4.5 mph. If it took him 16 minutes to get there, how many miles is the store from Nolan's house.

Answers

Answer:

1.2mi

Step-by-step explanation:

16/60 x4.5=1.2 mi

Find the inverse of

g(x)=16+x/4

Give full explanation

Answers

Answer:

x/4 + 16

Step-by-step explanation:

to  add or subtract the expressions expand them to make therir deomanators the same . Multiply 16 times 4/4

since 16 x 4/4 have the same deniomanator add them by adding the numorators

do the multiplications in 16X4 + x

= x/4 + 16

hopes this help!


Please help I’ll give points

Answers

Answer:

<2

Step-by-step explanation:

The measure of <5 is <7 ÷ <1 = <2

please help to solve the question​

Answers

[tex] \: \: \: \: \: \blue{\underline{\underline{ \large{ \tt{ \red{✧A \: N \: S \: W \: E \: R}}}}}}[/tex]

[tex] \large{ \tt{✽ Step - By - Step \:Explanation}} : [/tex]

[tex] \underline{ \underline{ \large{ \tt{G \: I\: V \: E \: N}}} }: [/tex]

C.P of two mobile set = Rs 55555Profit % on selling 1 mobile = 10%Loss % on selling another mobile = 10%

[tex] \underline{ \underline{ \large{ \tt{S\: O \: L \:V \:I \: N \: G}} }}....[/tex]

[tex]\begin{array}{ |c| c | } \tt{Case \: I}& \text{Case \: II} \\ \hline \hline \tt{CP = x} &  \tt{ CP = 55555 - x} \\ \tt{Profit\% =10 } & \tt{Loss\% = 10\%} \\\ \tt{SP_{1} = \frac{cp(100 + P\%)}{100} }\\ &  \tt{SP_{2} = \frac{cp(100 - L\%)}{100} }\\ = \tt{\frac{x(100 + 10)}{10} } &  = \tt{\frac{9 \cancel{0}(55555 - x)}{1 \cancel{00}}} \\ \\ = \frac{11}{10} x &  = \tt{\frac{499995 - 9x}{10}} \end{array}

[/tex]

[tex] \underline{ \large{ \tt{According \: To \:Question \: (ATQ)}} }: [/tex]

[tex] \large{ \tt{ SP_{1} = SP_{2}}}[/tex]

⤏ [tex] \large{ \tt{ \frac{11}{10} x = \frac{499995 - 9x}{10}}} [/tex]

⤏ [tex] \large{ \tt{110x = 4999950 - 90x}}[/tex]

⤏ [tex] \tt{110x + 90x = 4999950}[/tex]

⤏ [tex] \large{ \tt{200x = 4999950}}[/tex]

⤏ [tex] \large{ \tt{x = \frac{4999950}{200}}} [/tex]

⤏ [tex] \large{ \tt{x = 24999.97}}[/tex]

[tex] \large{ \tt{Replacing \: Value}} : [/tex]

⤏ [tex] \large{ \tt{ SP = 2( \frac{11}{10 } \times 24999.97) = \underline{Rs \: 54999.934}}} [/tex]

[tex] \large{ \tt{CP = Rs \: 55555}}[/tex]

Since SP < CP , he / she made a loss

[tex] \large{ \tt{Loss\% = \frac{CP- SP}{CP} \times 100\% }}[/tex]

⟶ [tex] \large \tt \: \frac{55555 - 54999.934}{55555} \times 100\%[/tex]

⟶ [tex] \large{ \tt{0.99\%}}[/tex]

⟶[tex] \boxed{ \large{ \tt{1\%}}}[/tex]

Hence , Loss percent = 1%

Hope I helped ! ♕

Have a wonderful day / night ! ツ

✏[tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] !!

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

[tex]\begin{gathered}\begin{array}{ |c| c | } \tt{Case \: I}& \text{Case \: II} \\ \hline \hline \tt{CP = x} & \tt{ CP = 55555 - x} \\ \tt{Profit\% =10 } & \tt{Loss\% = 10\%} \\\ \tt{SP_{1} = \frac{cp(100 + P\%)}{100} }\\ & \tt{SP_{2} = \frac{cp(100 - L\%)}{100} }\\ = \tt{\frac{x(100 + 10)}{10} } & = \tt{\frac{9 \cancel{0}(55555 - x)}{1 \cancel{00}}} \\ \\ = \frac{11}{10} x & = \tt{\frac{499995 - 9x}{10}} \end{array} \end{gathered} [/tex]

The circumference of the circle shown below is 54 centimeters. Which
expression gives the length in centimeters of ?
х
120"
O A.
360
.. 545
120
y
ОВ.
120
360
54
O c.
360
-.54
120
O D.
120
• 545
360

Answers

Answer:

B

Step-by-step explanation:

120/360  54

Mrs.Lorentz bought 12 pounds 8 ounces of flour. This is 1/4 of the flour she will use to make sugar cookies in her bakery this week. If she uses 5 ounces of flour for each batch of sugar cookies, how many batches of sugar cookies will she make in a week?

Answers

Answer:

153 batches

Step-by-step explanation:

A figure was created using a triangle and a semicircle. The diameter of the semicircle measures 8 cm and the height of the triangle measures 7 cm. Which measurement is closest to the area of the figure in square centimeters?

Answers

Answer: 53 cm

Step-by-step explanation:

Answer: 53 cm

Step-by-step explanation:

–5x − 6y = –8
4x + 6y = –2

Answers

Answer:

(-5/4, 1/2)

Step-by-step explanation:

x = -5/4, y = 1/2

You throw a ball at a height of 5 feet above the ground. The height h (in feet)
of the ball after t seconds can be modeled by the equation h=-16tsqaured +44t +5
A. After how many seconds does the ball reach a height of 15 feet?
B. After how many seconds does the ball hit the ground? Round your answer
to two decimal places.

Answers

Answer:

A.    After 2.5 sec and .25 sec the ball was at a height of 15 ft.

B.    2.86 sec is the time it takes to hit the ground

Step-by-step explanation:

A.   let h = 15

then 15 = -16t^2 + 44t + 5

16t^2 - 44t + 10 =0

2(8t^2 - 22t + 5) = 0

2(2t - 5)(4t - 1) = 0

t = 5/2 = 2.5    or t = 1/4 = .25

After 2.5 sec and .25 sec the ball was at a height of 15 ft.

B.   Let h = 0.  

-16t^2 + 44t + 5 = 0

Use the quadratic formula to find t.  (I will let you do that)

t = 2.85929...    or t = -.10929...

t cannot be negative, so 2.86 sec is the time it takes to hit the ground

The answer of A is  After 2.5 sec and 0.25 sec the ball was at a height of 15 ft and the answer of B is 2.86 sec is the time it takes to hit the ground.

A.   let h = 15

What is the quadratic equation?

[tex]ax^2+bx+c=0[/tex]

a, b, c = known numbers, where a ≠ 0

x = the unknown

then 15 = -16t^2 + 44t + 5

16t^2 - 44t + 10 =0

2(8t^2 - 22t + 5) = 0

2(2t - 5)(4t - 1) = 0

t = 5/2 = 2.5    or t = 1/4 = 0.25

After 2.5 sec and 0.25 sec the ball was at a height of 15 ft.

B.   Let h = 0.  

-16t^2 + 44t + 5 = 0

Use the quadratic formula to find t.

t = 2.85929...    or t = -.10929...

t cannot be negative, So 2.86 sec is the time it takes to hit the ground.

To learn more about the quadratic equation visit:

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hey can someone help me with this immediately! i’ll be giving out brainiest if u don’t leave a link and don’t guess!

Answers

Answer:

101

Step-by-step explanation:

((3x(4+6))-9)=21

(4x(21-1))=80

80+21=101

:D

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