If P is the incenter of JKL, find m Please show the work, that would be really helpful, thank you!

If P Is The Incenter Of JKL, Find MPlease Show The Work, That Would Be Really Helpful, Thank You!

Answers

Answer 1

Answer:

[tex]34^{\circ}[/tex]

Step-by-step explanation:

The incenter of a triangle can be defined as the intersection of three angle bisectors that bisect all angles of the triangle.

By definition, an angle bisector divides an angle into two equal smaller angles.

Therefore:

[tex]\angle KJN=\angle LJN,\\\angle KLM=\angle JLM, \\\angle JKP=\angke LKP[/tex]

What we're given:

[tex]\angle KJN=\angle LJN=30^{\circ}[/tex] [tex]\angle KLM=\angle JLM=26^{\circ}[/tex]

The sum of the interior angles of a triangle always add up to be 180 degrees. Since these six angles make up the total sum of the interior angles, we have the following equation:

[tex]\angle KJN+\angle LJN+\angle KLM +\angle KLM +\angle JKP+ \angle LKP=180^{\circ}[/tex]

Substituting given values:

[tex]30+30+26+26+\angle JKP+\angle LKP=180[/tex]

Since [tex]\angle JKP=\angle LKP[/tex],

[tex]30+30+26+26+2(\angle JKP)=180,\\112+2(\angle JKP)=180,\\2(\angle JKP)=180-112,\\2(\angle JKP)=68,\\\angle JKP=\frac{68}{2}=\boxed{34^{\circ}}[/tex]


Related Questions

The side of a right triangle opposite the right angle.

Answers

Answer:

hypotenuse

Step-by-step explanation:

The side opposite the right angle has a special name - hypotenuse

The other two sides of the right triangle are called legs

The table shown below represents a function. Which of the following values could not be used to complete the table?

Answers

Answer:

-5

Step-by-step explanation:

For a given x value a function can have only one y value.

-5 cannot have both 15 and 20 as the y value

Multiply (−4) × (−2) × (−5).

Answers

Answer: -40 or negative forty

Step-by-step explanation:

Answer: (-4) * (-2)= 8
(-5) * 8= -40

-40

Hope this helps :))

PLEASE HELP!!!!! very urgent asap!!! need help please

Answers

Answer:

easy

Step-by-step explanation:

What is the question

What is the measure of A

Answers

Given:

A figure of a triangle.

To find:

The measure of angle A.

Solution:

Label the points in the figure as shown below.

In the below figure,

[tex]\angle ACB\cong \angle DCE[/tex]            (Vertically opposite angles)

[tex]m\angle ACB=m\angle DCE[/tex]              (Congregant angles)

[tex]m\angle ACB=8x+4[/tex]

Using exterior angle theorem in triangle ABC, we get

[tex]m\angle A+m\angle C=\text{Exterior }m\angle B[/tex]

[tex]m\angle BAC+m\angle ACB=130^\circ[/tex]

[tex](3x-6)+(8x+4)=130^\circ[/tex]

[tex]11x-2=130^\circ[/tex]

Isolate the variable term x.

[tex]11x=130^\circ+2[/tex]

[tex]11x=132^\circ[/tex]

[tex]x=\dfrac{132^\circ}{11}[/tex]

[tex]x=12^\circ[/tex]

Now, the measure of angle A is:

[tex]m\angle A=3x-6[/tex]

[tex]m\angle A=3(12^\circ)-6[/tex]

[tex]m\angle A=36^\circ-6[/tex]

[tex]m\angle A=30^\circ[/tex]

Therefore, the correct option is B.

Find the square root of 75​

Answers

Answer:

8.66  =  9

Step-by-step explanation:

The square root of 75 is approximately equal to 8.66 but if rounded 9

What is the domain to this graph

Answers

Answer:

x > 0

Step-by-step explanation:

The domain of the graph are all the possible values of x. Since the graph never touches the negative part of the graph, x will always be greater than 0. Thus, x > 0 meaning x will be greater (not equal to) 0.

help
PLEASE HEPP ME PLEASE

Answers

Answer:

Step-by-step explanation:

VOLUME...

1) π*r^2*h

π*(2.5)^2 *h

(π)*(2.5)^2* 6

= 117.8

2) π*r^2*h + 1/2 *[(4/3) · π · r3]

(π)*(3)^2* 3 + 1/2 *[(4/3) · π · 3^3]

         84.8+ 56.5 = 141.41

3) (1/3) π*r^2*h

(1/3) π*3^2*h

3^2 + h^2 = 36

h = sqrt(27) = 5.1

(1/3) π*3^2*5.1

= 48.06

~~~~~~~~~~~~~~~~~~~~~~~~~~~

Height of 1/2 of glass #2

84.8+ 56.5 = 141.41

thus 1/2 of #2 = 70.5

70.5 - 56.6 = 14 (all of 1/2 sphere filled plus 14 into cylinder)

14/[(π)*(3)^2* 3]= .16 of the cylinder... 3*(0.16) =   .48

total height = 3.48

find the unit rate of computers per day using the graph

Answers

Answer:

You need to look at the graph and find an ordered pair.  Once you find an ordered pair divide the x value by the y value to get the unit rate.

Step-by-step explanation:

What is y-10=9(x+8) written in standard form?

Answers

Answer:

y - 9x - 82 = 0

Step-by-step explanation:

Given expression;

y - 10 = 9(x + 8)

Find:

Write into standard form

Computation:

Given expression;

⇒ y - 10 = 9(x + 8)

Using BODMAS role

Multiply 9 into (x - 8)

⇒ y - 10 = 9(x) + 9(8)

⇒ y - 10 = 9x + 72

⇒ y - 9x - 10 = 72

⇒ y - 9x = 72 + 10

⇒ y - 9x = 82

⇒ y - 9x - 82 = 0

Standard form of given expression

y - 9x - 82 = 0

What is the explicit formula for this arithmetic sequence?
-10,-17, -24, -31, ...

Answers

Answer:

D

Step-by-step explanation:

The starting term is a1.

That's the very first term.

a1 = - 10

The second term = -17 which means that you added - 7 to - 10.

So d must be - 7

The formula must be

an = a1 + (n - 1)*d

an = -10 + (n - 1)(-7)

You might wonder why it is n - 1. The reason is because the first term is already added on the right side. The -1 means that we have already included the first term.

We should try the formula out to see what it does. Let's find a4

a4 = -10 + (4 -1)*-7

a4 = -10 + 3(-7)

a4 = -10 - 21

a4 = - 31 which is what the question suggests.

need to find volume, step by step explanation pls



Answers

Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

[tex]V_1=\dfrac{2}{3}\pi r^3[/tex]

Where, r is the radius of the hemisphere.

[tex]V_1=\dfrac{2}{3}(3.14)(6)^3[/tex]

[tex]V_1=\dfrac{6.28}{3}(216)[/tex]

[tex]V_1=452.16[/tex]

Volume of cylinder is:

[tex]V_2=\pi r^2h[/tex]

Where, r is the radius of the cylinder and h is the height of the cylinder.

[tex]V_2=(3.14)(6)^2(12)[/tex]

[tex]V_2=(3.14)(36)(12)[/tex]

[tex]V_2=1356.48[/tex]

We know that,

[tex]l^2=r^2+h^2[/tex]                               [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

[tex](10)^2=(6)^2+h^2[/tex]

[tex]100-36=h^2[/tex]

[tex]\sqrt{64}=h[/tex]

[tex]8=h[/tex]

Volume of cone is:

[tex]V_3=\dfrac{1}{3}\pi r^2h[/tex]

Where, r is the radius of the cone and h is the height of the cone.

[tex]V_3=\dfrac{1}{3}(3.14)(6)^2(8)[/tex]

[tex]V_3=\dfrac{25.12}{3}(36)[/tex]

[tex]V_3=301.44[/tex]

Now, the volume of the combined figure is:

[tex]V=V_1+V_2+V_3[/tex]

[tex]V=452.16+1356.48+301.44[/tex]

[tex]V=2110.08[/tex]

Therefore, the volume of the given figure is 2110.08 cubic units.

Express in the form n : 1.
Give n as a fully simplified fraction.
20 : 15

Answers

Answer:

this is the answer

Step-by-step explanation:

20:15=20/15=4/3=n

Hence, 1:n=3:4

20 : 15 = 20/15 : 15/15 = 4/3 : 1

n = 4/3 which is simple but some people prefer 1 1/3

The account that appears in the chart of accounts for a merchandising entity but not for a service entity is

Answers

yeshir yeshir is the answer to this question no cap slatt I keep a Glizzy on my side jig

Find the expression for f(x) that makes the following equation true for all values of x 9^x⋅3^x+2=3^f(x).

Answers

Answer:

3x+2

Step-by-step explanation:

khan told me that my explanation

prt.3 identify the slope

Answers

Answer:

m = - 2

Step-by-step explanation:

First coordinate : ( -2 , 9 )

Second coordinate : ( 1 , 3 )

Formulae : m=(y2-y1)/(x2-x1)

Substituting,

m = ( 3 - 9 ) / ( 1 + 2 )

m = - 6 / 3

m = - 2

If this helps you, please mark brainliest!

Linear equation


Gina is 3 years older than Susan. The sum of their ages is 12 years more than Susan’s age. How old is Susan ?

Answers

Answer:

Susan = x

Gina = 3x

Sum of their ages = 12

Susan's age = ?

We can see that,

[tex]2x=10

x = \frac{10}{2}x=

2

10

x = 5x=5[/tex]

Susan is 3 years old.

1. What percentage of the students like football? a. 25% b. 30% c. 35% d. 40% 2. How many students prefer swimming? lime a. 100 b. 120 C. 130 d. 140 3. How many students do not like volleyball the most? a. 140 b. 240 C. 340 d. 440 4. How many students were asked about their favorite sport? a. 400 b. 300 c. 200 d. 100 pakisagot po please asap po​

Answers

Step-by-step explanation:

the answer is in the above image


Larry runs a dog-walking service. He charges $5/h plus a flat fee of $6. One day, he earned $16. Determine which
equation represents this.

Answers

Answer:

5h+6=16

Step-by-step explanation:

He gets 6 dollars and for every hour he walks he gets 5 dollars so he must of walked dogs for 2 hours and plug it in you get your equation.

Answer:

5(2)+6=16

Step-by-step explanation:

That should be it! Contact me if you need to know why.

Carol wants to tile her utility room. Each tile is 1 square foot. She draws the shape of her room on a grid. Each square unit on the grid represents 1 square foot. How many tiles will she need?

Answers

Answer:

1

Step-by-step explanation:

that's a very vague question

Factor the polynomial 3x^2+6x

Answers

Answer:

1. [tex]3x(x+2)[/tex]

Step-by-step explanation:

1: Find the GCF (Greatest Common Factor) of the polynomial

Answer: 3x

Then use it to factor out 3x^2 + 6x

3x(x + 2)

4. Find H. C.F. of 60,75 & 90​

Answers

Answer:

H.C.F = 15

Step-by-step explanation:

60 = 2 × 2 × 3 × 5

75 = 3 × 5 × 5

90 = 2 × 3 × 3 × 5

HCF = 3 × 5 = 15

Find the perimeter of the given image. Round your answers to the
nearest tenth.

Answers

Answer:

52.6 mm

Step-by-step explanation:

split this figure and form one square and semi circle

for semicircle

radius = 4mm

find diameter

radius = diameter /2

4*2 = diameter

8 mm = diameter

now find perimeter of square

POS = 4l

=4*8

=32 mm

perimeter of semicircle= πr + 2r

=3.14^4 + 2*4

=12.56 + 8

=20.56 mm

area of the figure = perimeter of square + perimeter of semicircle

=32 + 20.56 mm

=52.56 mm

=52.6 mm

split ur figure as shown below

Answer:

28.6 (by the assumption that 4 is the radius)

Step-by-step explanation:

4 is the radius.

Circumference of a circle is  πd or  2πr

But its a semi circle so our equation will be  2πr/2 + d

So subsitute, 2* π*4/2 + 8

=8 π/2 + 8

=4 π + 8

=20.6

This is only the circumference of the semi-circle

Now for the square, perimeter is equal to 4*S

so from the equation above we know that the diameter is 8(d=2r). The diameter is also one side of the square. Since squares have all sides equal, 4*8= 32

Now add

32+20.6

52.6

Round

52.6

All this is on the assumption that 4 is the radius.

WHAT IS THE VALUE OF ANGLE N?

Answers

Answer:

32 degrees

Step-by-step explanation:

An inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords. Angle N perfectly fits this description. An inscribed angle is equal to 1/2 of its intercepted arc (the arc opposite the angle). The arc opposite angle N is equal to 64 degrees, so angle N is equal to 1/2 of that, or 32 degrees

Solve for p in the literal equation 2p + 38 = 9.
p =

Answers

Answer:

p = -29/2

Step-by-step explanation:

2p + 38 = 9

Subtract 38 from each side

2p + 38-38 = 9-38

2p = -29

divide by 2

2p/2 = -29/2

p = -29/2

Answer:

p=-14.5

Step-by-step explanation:

2p + 38 = 9

      -38    -38

2p = -29

[tex]\sqrt{2}[/tex]    [tex]\sqrt{2}[/tex]

p = -14.5

Solve 5x + 6 = 3x - 10​

Answers

[tex]\boxed{x\:=\:-8 }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

[tex]5x + 6 = 3x - 10[/tex]

[tex]➺ \: 5x - 3x = - 10 - 6[/tex]

[tex]➺ \: 2x = - 16[/tex]

[tex]➺ \: x = \frac{ - 16}{2} [/tex]

[tex]➺ \: x = - 8[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]5x + 6 = 3x - 10[/tex]

[tex]➼ \: 5 \times ( - 8 )+ 6 = 3 \times ( - 8) - 10[/tex]

[tex]➼ \: - 40 + 6 = - 24 - 10[/tex]

[tex]➼ \: - 34 = - 34[/tex]

[tex]➼ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Answer:

-8

Step-by-step explanation:

5x + 6 = 3x − 10

Subtract 3x from both sides:

5x + 6 - 3x = 3x - 10 - 3x

2x + 6 = -10

Subtract from 6 both sides:

2x + 6 - 6 = -10 - 6

2x = -16

Divide both sides by 2:

2x         -16

____ = ____

  2           2

      -16

x = ____   (divide)

        2

final answer: x = -8

determine the number of terms in the sequence: 1/4, -1/-2, 1, 16384
(full answer )

Answers

Answer:245

Step-by-step explanation:

Emily kicked the ball in 1 straight direction , it went 10 ft reversed direction and come back to her , how is this possible ?
she accidentally kicked a boomerang
she kick it up
it isn't
she kick it left to the wall

Answers

Answer:

She kicked it up

Step-by-step explanation:

How is this math?

I believe your answer is B.) She kicked it up. Think about it, if she kicks it straight up, it goes up ten feet, and then it comes back down (Revered direction) to her.

Sesame Company purchased a computer system for $74,000 on January 1, 2018. It was depreciated based on a 7-year life and an $18,000 residual value. On January 1, 2020, Sesame revised these estimates to a total useful life of 4 years and a residual value of $10,000. Sesame's depreciation expense for 2020 equal to:

Answers

Answer: $24000

Step-by-step explanation:

Depreciation for 2018 = ($74,000 - $18000) / 7

= $56000/7

= $8000

Depreciation for 2019 = ($74,000 - $18000) / 7

= $56000/7

= $8000

Depreciation up to 2019 = $8000 + $8000 = $16000

Book value at end of 2019 = $74000 - $16000 = $58000

Revised residual value = $10,000

Number of remaining years = 4-2 = 2 years

Depreciation expensed for 2020 will be:

= ($58000 - $10,000) / 2

= $48000/2

= $24000

The length of rectangle is 3 cm longer than its breadth. If the perimeter of the rectangle is 54 cm, find its length,in cm​

Answers

Answer:

Length=15cm

Hope this answer is right!!

Step-by-step explanation:

Length be 3 cm longer than the breadth.

So, x=y+3

Perimeter = 2(x+y)54

So, x+y=27 =>x=15

x-y=3 =>x=12

So, length is 15 cm

Other Questions
which hygiene practice can help prevent the spread of cold sores on the basis of subsistence or mode of life, in which type of society do you think majority of nepelease people belong to? Two students were discussing the Mono Lake ecosystem. The first student said, "For a 20-kilogram (kg) coyote to survive, it takes around 200 kg of Wilson's phalaropes, 400 kg of brine shrimp, and 800 kg of algae!" The second student said, "No, I think it takes even more than that." 1. Which student is correct? What is your reasoning? plzzzzzzzzzzzz It's urgent..answer this only if you are confirm about it... What must be multiplied by 0.0426 to get 4260 ?? tolong saya jawab yahhh Help on both please and thanks Vietnamese:Ti ght b mt ca tiSpanish:Hola cmo ests Thailand: What is a header row?O the title of a document when it is centeredO the top row of a table that shows titles for the cells belowO the bottom row in a table that shows sums of numbers in cellsO the hidden space at the top of each pagePlease help ASAP taking unit test human activities that interfere with distribution of natural resources are contributing to the increase of earthquake risk. Which organism is an example of a producer?mothmushroomrose bushcheetah You invest $24,000 at a simple interest rate of 12% for 9 years, and yourinvestment grows by $25,920. What is the principal? "Counseling is a relationship between an expert and a learner or student."A. TrueB. False Which of the following represents the factorization of the trinomial below?X2 - 2x - 48ANSWER Part 2 of True or False20, Only sexually active adults can get STI/HIV. True or False21 , Only gay people get HIV and AIDS. True or False22, STI can result in a baby being born blind. True or False23, You can get HIV and AIDS by touching a person with AIDS. True or False 24, Anyone can get a STI/HIV. True or False25, A person with one sex partner is not at risk for STI/HIV. True or False 26, You are at a greater risk of getting STI/HIV if you have many sexual partners. True or False 27, You can get a STI/HIV by sharing needles. True or False 28, It is safe to have tattoos/piercings done. True or False29, Sexual intercourse is the only way to get STI/HIV. True or False30, The herpes virus causes cold sores. True or False31, The most common STI in Alberta today is genital herpes. True or False32, Early onset of sexual intercourse, exposure to HPV and having more than one sexual partner can put a female at risk for cervical cancer. True or False33, Information shared between a doctor and a patient is confidential. True or False34, Chlamydia is the most commonly reported STI for Alberta teens. True or False35, Chlamydia is the most commonly reported STI for teens in Canada. True or False36, It is normal for women to have some vaginal discharge. True or False37, Birth control pills provide protection against STI/HIV. True or False38, If you know your partner, you cant get an STI/HIV. True or False39, A sexual active female should see her doctor and get a Pap test regularly. True or False40, If an STI is caused by a bacteria, it cannot be cured. True or False41, There is a vaccine for HPV. True or FalsePLS HELP AND THANK YOU :) When the production process is complete in process costing, the completed goods and the accumulated costs are transferred across departments using a journal entry that includes the following: multiple choice A debit to the Finished Goods Inventory account and a credit to the Work in Process account for the first department in the series of processes. A debit to the Finished Goods Inventory account and a credit to the Work in Process account for the final department in the series of processes. A debit to the Work in Process Inventory account for the first department in the series of processes and a credit to the Finished Goods Inventory account. A debit to the Work in Process Inventory account for the final department in the series of processes and a credit to the Finished Goods Inventory account. Find the area of the parallelogram in the figure below. Round your final answer to the nearest tenth.16.8D23.223.212.4B Jose wants to find the perimeter of triangle ABC. He uses the distance formula to determine the length of AC. Finish Joses calculations to find the length of AC.What is the perimeter of triangle ABC? Round the answer to the nearest tenth, if necessary.12.0 units12.4 units15.0 units15.4 units In a freshman class of 80 students,22 students take Consumer Education,20 students take French,and 4 students take both.Which equation can be used to find the probability,P, that a randomly selected student from this class takes Consumer Education, French,or both?A: P = 11/40 + 1/4 + 1/20B: P = 11/40 + 1/4C: P = 11/40 + 1/4 - 1/20D: P = 11/40 + 1/4 - 1/10 Who holds concurrent powers?a. the federal governmentb. the state governmentsc. both the federal government and state governmentsd individual citizens