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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}}

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Domain and range of graph need ASAP
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Answer:

Domain: -6 \leq x \leq 3

Range: -3 \leq x \leq 6

Step-by-step explanation:

The domain is the set of real values which can be inputted into a function and produce a real output. In this case, the domain is the following: -6 \leq x \leq 3, because this is the set of real values for which the function will produce a real output.

The range is the set of real values which a function outputs when a value from the domain is entered into the function. This is the set of y-values that one can see on the graph, the possible y-values are in between (-3) and (6).

6 0
2 years ago
Use the arc length formula and the given information to find r. s = 12 cm, 0 = 360; r = ?
hjlf
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2 years ago
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3 years ago
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The ratio to cats at an animal shelter 3:1. if there are 56 dogs and cats in all, how many more dogs than cats are there??
Black_prince [1.1K]

Answer:

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Step-by-step explanation:

If the ratio of dogs to cats at an animal shelter is 3:1, that means there are 3 dogs for every 1 cat.

The way I think about it is I try multiplying every number by 3 and 1, kind of like process of elimination.

After using every number from 1-13, I finally got to 14. Now, 3 x 14 = 42 and 1 x 14 = 14. Add 42 + 14 and you will get 56.

So there are 42 dogs and 14 cats at the animal shelter.

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Answer:

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Step-by-step explanation:

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