1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ber [7]
2 years ago
6

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

Mathematics
1 answer:
mezya [45]2 years ago
7 0

Answer:

34^{\circ}

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:

\angle KJN=\angle LJN,\\\angle KLM=\angle JLM, \\\angle JKP=\angke LKP

What we're given:

  • \angle KJN=\angle LJN=30^{\circ}
  • \angle KLM=\angle JLM=26^{\circ}

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:

\angle KJN+\angle LJN+\angle KLM +\angle KLM +\angle JKP+ \angle LKP=180^{\circ}

Substituting given values:

30+30+26+26+\angle JKP+\angle LKP=180

Since \angle JKP=\angle LKP,

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}}

You might be interested in
Use the substitution method to solve the system of equations
yarga [219]

Answer:

C. (3,2)

Step-by-step explanation:

to begin the substitution method, we can begin by substituting the answer choice value into the given system or equations to determine if the values make the equation true.

the first choice is (2,1)

3(2) + 2(1) = 13

6 + 2 is not equal to 13. Therefore this answer choice is incorrect.

second choice (1,2)

3(1) + 2(2) = 13

3 + 4 is not equal to 13. This answer is also incorrect.

third choice (3,2)

3(3) + 2(2)

9 + 4 = 13 is true!

we can also substitute these x and y values for the equation underneath:

y = x - 1

2 = 3 - 1

2 = 2 is true! Therefore, C. (3,2) is correct!

5 0
3 years ago
Answer for x<br><br> y = 1/4x + 1
nikdorinn [45]

Answer:

x = 4y - 4

Step-by-step explanation:

y = ¹/₄.x + 1

y - 1 = ¹/₄.x

x = 4(y - 1)

x = 4y - 4

7 0
3 years ago
Read 2 more answers
Help needed please <br> I need to submit it by am hour
Tasya [4]

Answer:663

Step-by-step explanation:

4 0
3 years ago
The area of a square is 4x^2+28x+49. What expression represents the length of each side of the square?
kipiarov [429]

Answer:4x^2 +28x +49=(2x +7)^2

Step-by-step explanation:

a2±2ab+b2=(a±b)2

In this case

a=2x and b=7 ...

4x2+28x+49=(2x)2+(2⋅

(2x)⋅

7)+72=(2x+7)2

7 0
3 years ago
Can somebody help me out my grade are bad
Valentin [98]

Answer:

use ph0tomath it'll answer it for you and show how to do it

5 0
2 years ago
Read 2 more answers
Other questions:
  • Explain how to use the combine place value strategy to find 223 -119.
    6·1 answer
  • What is the ratio of melvin's weight to the total weight of the two boys?
    15·1 answer
  • What quotient of 9 and a remainder of 5
    5·1 answer
  • 4x-3(x + 5) &gt; 7-4(x + 6)
    5·1 answer
  • Need help please ????
    8·1 answer
  • What does x equal?. 3/4 x + 5/8=4x
    10·2 answers
  • Let f(x) = 2x^2 - 4x + 1 <br><br> Find the values of f(1), f(0), f(2), f(-2), f(a)
    12·1 answer
  • -2 = g-9 <br> I need this answer right now as I speak!!
    12·2 answers
  • Interest can be the money paid by a bank to a consumer as compensation for keeping their money in that bank. Interest can also b
    7·1 answer
  • I’ll give you brainliest if you help me pleasee
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!