Mathematics High School

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

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

PLEASE ANSWER ASAP !!!!!

Answers

Answer:

Step-by-step explanation:

well you have to multiply and divide

Answer:

-4

Step-by-step explanation:

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:

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

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

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:

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

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]

How to solve 72 + x+x + 52+80°

Answers

Answer:

2x+204 hope this helps pls give brainlist

Step-by-step explanation:

PLEASE HELP ASAP!!! i’ll mark brainlessly

Answers

1.5 km per hour

ngl i could be wrong :/

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

Answers

Answer:

the answer is 1.7320508076

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)

write the number three million seven hundred thousand

Answers

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

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

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

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

Answers

Answer:

Answer:

Step-by-step explanation:

(n) less than or equat to

the answer would be B, because it is

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.

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!

Factorise fully
70
+ 7z

Answers

Answer:

7(z+10)

Step-by-step explanation:

it is factored fully now

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:

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