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Marysya12 [62]
2 years ago
15

If P the incenter of triangle JKL, find MP.

Mathematics
1 answer:
hram777 [196]2 years ago
4 0

9514 1404 393

Answer:

  MP = 38

Step-by-step explanation:

Each of the lengths MP, NP, OP is the radius of the incircle, so they are all congruent.

  3x +14 = 9x -34

  48 = 6x . . . . . . . . . . . . . . add 34-3x to both sides

  24 = 3x . . . . . . . . . . . . . . divide by 2 (we don't need x; we need 3x or 9x)

  NP = 3x +14 = 24 +14 = 38

  NP = OP = MP = 38

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%2B%202%7D%7B%20%7Bx%7D%5E%7B2%7D%20-%209%20%7D%20%20%5Ctimes%20%20%5Cfrac%7B
OlgaM077 [116]

Answer:

\frac{1}{(x-3)(x-2)}

Step-by-step explanation:

Factorise the denominators of both fractions

x² - 9 and x² - 4 are both differences of squares and factor as

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Cancel the factors (x + 3) and (x + 2) from the numerators/denominators of both fractions leaving

\frac{1}{(x-3)(x-2)}



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