If P is the incenter of triangle JKL, find the measure of JKP.

If P Is The Incenter Of Triangle JKL, Find The Measure Of JKP.

Answers

Answer 1

Answer:

m∠JKP = 31.5°

Step-by-step explanation:

Incenter of a triangle is the point where all the bisectors of interior angles intersect each other.

JN is the angle bisector of ∠KJL.

Therefore, m∠KJN = m∠LJN

(7x - 6) = (5x + 4)

7x - 5x = 6 + 4

2x = 10

x = 5

m∠KJN = (7x - 6)

            = 7(5) - 6

            = 35 - 6

            = 29°

In ΔKJN,

m∠JKN + m∠KNJ + m∠NJK = 180°

m∠JKN + 90° + 29° = 180°

m∠JKN = 180°- 119° = 61°

Since KO is the angle bisector of ∠JKN,

m∠JKP = [tex]\frac{1}{2}(\angle JKN)[/tex]

            = [tex]\frac{1}{2}(61)[/tex]

            = 30.5°


Related Questions

a sequence is given by the rule 4n -5.
what is the tenth term in the sequence?

Answers

Answer: 35

because the sequence is given by the rule 4n -5 => a(n) = 4n - 5

the tenth term in the sequence is a(10) = 4.10 - 5 = 35

Step-by-step explanation:

1. SOCCER Suppose a youth soccer field has a
perimeter of 320 yards and its length measures 40
yards more than its width. Ms. Hughey asks her
players to determine the length and width of their
field. She gives them the following system of
equations to represent the situation. Use elimination to
solve the system to find the length and width of the
field.
2L + 2W=320
L - W = 40

Answers

Answer:

L = 100

W = 60

Step-by-step explanation:

2L + 2W = 320

-2L + 2W = -80

4W = 240

W = 60

L - W = 40

L - 60 = 40

L = 100

Basketball Arcade Game
You're buying the basketball arcade game for $4,500.00 with 5% tax. How much
will you pay all together? *

Answers

Answer:

$4,725

Step-by-step explanation:

multiply 4,500x0.07=225 add that to 4,500

the answer is $4,725 good luck!

write an absolute value inequality for each graph explain pls?

Answers

Answer:

Step-by-step explanation:

(n) less than or equat to

the answer would be B, because it is

1 1 point
Answer each of the following. Write your final answers in the blanks provided.
A building is 50 ft. high. At a distance away from the building, an architect observes that the angle of elevation to the top of the building is
28° How far is the observer from the base of the building? Round to the nearest foot.

Answers

Answer:

58

Step-by-step explanation:

57.5 round up. 58

PLEASE HELP!! I NEED THE ANSWER REALLY SOON!

Answers

Answer/ explaination

the answer is 108, not 180 because 9 goes into 7, 0 times but he put 8

Greta has two pet lizards draco and lizzy for every 11 crickets Greta feeds draco she always feeds lizzy 8 crickets last week Greta fed draco 77 crickets

Answers

greta fed lizzy 56 crickets

Answer:

She feeds Lizzy 56 crickets when she feeds Draco 77.

Step-by-step explanation:

Lets put it as an equality:

[tex]\frac{11}{8}[/tex]  = [tex]\frac{77}{x}[/tex]

We want to solve for x. We can do so by finding how much larger the second fraction is than the first. In this case, 77 is 7 times larger than 11 (77/11=7), so we know that x must also be 7 times larger than 8 (because the fractions are proportional).

Since x is 7 times larger than 8, we can use 7 times 8 to find the value.

7 times 8 is 56

56 crickets for Lizzy!

Hope this helps and makes sense!

Please help me with this equation, you are supposed to find x

Answers

Answer:

I believe its 2/3

Step-by-step explanation:

Which expression is equivalent to -6(3x-2/3)

Answers

Answer:

-18x + 4

Step-by-step explanation:

Judy baked a pizza for lunch.The size of the pizza was 14 inches in the diameter. Find the area of the pizza.​

Answers

A = πr². So, 14 / 2 = 7 inches (radius). A = (3.14)(7)² || A = (3.14)(49) || A = 153.86 Inches ². Hope this helps!

How to solve 72 + x+x + 52+80°

Answers

Answer:

2x+204 hope this helps pls give brainlist

Step-by-step explanation:

What is the value of tan(60°)?
A
12
30°
B
60°
14

Answers

Answer:

the answer is 1.7320508076

In ΔKLM, l = 660 cm, ∠L=107° and ∠M=18°. Find the length of k, to the nearest 10th of a centimeter.

Answers

Answer:

565.3 cm

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Sine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

In triangle KLM:

∠K + ∠L + ∠M = 180° (sum of angles in a triangle)

∠K + 107 + 18 = 180

∠K + 125 = 180

∠K = 55°

We can find the length of k using sine rule:

[tex]\frac{l}{sinL}=\frac{k}{sinK} \\\\substituting:\\\\\frac{660}{sin(107)}=\frac{k}{sin(55)} \\\\k=\frac{660}{sin(107)}*sin(55)\\\\k=565.3\ cm\\[/tex]

A line passes through the points (0, 14) and (18, 15) . What is its equation in slope-intercept form?

Answers

Answer:

y= 1/18x + 14

Step-by-step explanation:

Well we can first right the equation like  :  to find the slope

14- 15

____  = -1/-18 = 1/18

0-18

Now we know  the slope is 1/18

we can substitute one point in the equation and the slope to find the equation

let's take 0,14

14= 1/18 ( 0 ) + b

14=b

so b= 14

the y-intercept is 14

the equation is

y= 1/18x + 14

Can someone help me with this please

Answers

Answer: The system of equations is

40x + 55y = 920

40x + 65y = 1000

x is the cost of the adult ticket; y is the cost of the child ticket

Step-by-step explanation:

If you have to solve this, elimination is a good method.

Subtract the top equation from the second equation.

40x + 65y = 1000

-40x + 55y = 920  x cancels  Solve for y

0  + 10y  =  80    Divide both sides by 10

y  = 8 .  Substitute 8 for y in either equation and solve for x

40x + 65(8) = 1000

40x + 520 = 1000   Subtract 520 from both sides

  40x = 1000 - 520

40x = 480   Divide both sides by 40

x = 12  

If h(a)= 3a+5 and h (a) = 27 the what is the value of a?

Answers

Hey there!

Okay, so when you get a problem like this, all you need to do in insert the given value into the function and solve.

For example:

As you can see, they state that (a) = 27, so you insert 27 in for a in the function and it will look like this:

h(27) = 3(27) + 5

Now you solve on the right side of the equal sign:

3(27) = 81 (you multiply them)

81 + 5 = 86

When you plug the value of 27 in for a in this function, your output is equal to 86.

Answer: 22/3 or 7,(3)

Solution:

h(a)=3a+5

h(a)=27

3a+5=27

3a=27-5

3a=22

a=22/3

a=7,(3)

can i please get some help asap

Answers

if my math is right it should be b

s=ut+ 1/2 at²
u=10 a= -2 t= 1/2
work out the value of s

Answers

s=(10)(1/2)+(1/2)(-2)(1/2)^2
s=5+(-1)(1/4)
s=5-(1/4)
s=4 and 3/4 or 19/4

Factorise fully
70
+ 7z

Answers

Answer:

7(z+10)

Step-by-step explanation:

it is factored fully now

Brianliest for correct answer

Answers

Answer: i Think it would be 80

Step-by-step explanation: a right triangle is 90 degrees so how I got 80 is 90-10=80 I might be wrong though

PLEASE ANSWER ASAP !!!!!

Answers

Answer:

11

Step-by-step explanation:

well you have to multiply and divide

Answer:

-4

Step-by-step explanation:

4a) Why are the two triangles congruent? *
H
M
K
J
L

Answers

Answer:

SAS Congruency (see below)

Step-by-step explanation:

First, prove the two triangles congruent:

You should know that ∠HKL ≅ ∠MKL because of Vertical Angles Congruence Theorem because they're vertical angles.

If it's already given that HK ≅ MK and JK ≅ LK, then you can clearly see that you can use the SAS Postulate to prove ΔHKL ≅ ΔMKL.

For a flow chart proof for this, refer to the image:

write the number three million seven hundred thousand

Answers

3,700,000 because that’s how you write it

PLEASE HELP ASAP!!! i’ll mark brainlessly

Answers

1.5 km per hour

ngl i could be wrong :/

write an improper fraction 3 4/5

Answers

Answer:

19/5

Step-by-step explanation:

hope it helps

Answer:

19/5 = 3 4/5

Step-by-step explanation:

hope this helps

A rectangle is 12 inches long and 2 inches wide. Find its area. A 22 square inches 14 square inches 24 square inches 26 square inches​

Answers

im almost sure its 24 square inchs

Area of given rectangle = 24 square inches.

The correct option is C.

What is rectangle?

A rectangle is cyclic: all corners lie on a single circle. ; It is equiangular: all its corner angles are equal (each of 90 degrees).

Given,

Length of rectangle = 12 inches

Width of rectangle = 2 inches

Area of rectangle = length × width

                             = 12 × 2

Area of rectangle = 24 square inches.

Hence, 24 square inches is the area of rectangle.

Learn more about rectangle here:

https://brainly.com/question/29123947

#SPJ1

PLEASE HELP!!!!!!!!!!

Answers

Answer:

3

Step-by-step explanation:

Mr. Sampson wants to ship a birthday gift to his son in the navy. To meet shipping requirements at the Local U
Pack It We Ship it Store, the perimeter of the rectangular-shaped gift box must be less than 30 inches. Write
and graph an inequality to describe this situation.

X= length
Y= width

Answers

Answer:

Step-by-step explanation:

If length of the box = x

And width of the box = y

Then perimeter of the box = 2(length + width)

                                            = 2(x + y)

Since, perimeter of the box is less than 30 inches.

2(x + y) < 30

x + y < 15

y < -x + 15

Since, this inequality has a sign of less than, line on the graph will be a dotted line.

y intercept of the dotted line y = 15 (by x = 0)

x intercept of the line x = 15 (by y = 0)

Constraints for the graph will be,

x > 0

y > 0

Now we can plot the dotted line by joining the x and y intercepts.

In this graph common region under the dotted line between x axis and y axis will be the solution area of the given inequality.

Felix surrounds a 12 in. by 8 in. photo with a frame that is x inches wide. Which quadratic function represents the combined area A of the picture and the frame?

A. A(x) = x^2 + 20x + 96

B. A(x) = x^2 + 40x + 96

C. A(x) = 4x^2 + 20x + 96

D. A(x) = 4x^2 + 40x + 96

Answers

Answer:

D: A(x) = 4x² + 40x + 96

Step-by-step explanation:

Dimensions of photo is;

Length; L = 12 inches

Width; W = 8 inches

Now, this picture is surrounded by a frame that is "x" inches wide. Thus, new dimensions are;

L_new = 12 + x + x = 2x + 12

W_new = 8 + x + x = 2x + 8

New area is;

A_new = (2x + 12) × (2x + 8)

A_new = 4x² + 24x + 16x + 96

A_new = 4x² + 40x + 96

What kind of angles are 1 and 5 in the picture below?

Answers

Answer:

Step-by-step explanation:

I dont see anything. You need to click link and attach a picture or the image to the question

Answer:

You need to add the picture so we can answer

Step-by-step explanation:

Other Questions
the question is a picture pls help plz answer only if correct :) describes nativism in the us in the 1800s how did the government change because of the 13 and 14 and 15 amendment find the total surface area for this cuboid How have the teachings of Judaism influenced modern society? (Image included of the answer choices) asap pleasw the difference of f and 1/3 is 1/12 I need help with questions b and d, thats all.Thank you. A metal can form A. a stable nucleus B. an anion C. a new family D. a cation If a firm's average total cost decreases as the firm increases its output, the firm's marginal cost must be PLEASE HELP !I AM RUNNING OUT OF TIME Glenn bought 3 pounds of tomatoes. He used of them to make sauce.Make an equation that shows the number of pounds of tomatoes Glenn used for the sauce. how was Amanda Gorman raised? Which of the following equations is equivalent to 2/3a - 7 = 1/3 What was the total number of adults under supervision in the United States in 2012?O4,70004.781,30047.300471,300 What is the difference between an embryo and a foetus Generic sugar which costs $2.23/kg is made by combining brand X sugar which costs $1.18/kg with brand Y sugar which costs $3.98/kg. Find the number of kg of brand X sugar and brand Y sugar required to make 40 kg of generic sugar. What was the air combat strategy for WWII? What makes flying these planes risky, and what do pilots suffer from? How can the IR spectrum be used to show that there is not starting material left and the products are alcohols in What climate zone of earths are the temperatures the hottest? the mildest? the coldest?