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1 month ago

If LK=MK, LK=7x-10,KN=x+3, MN=9x-11 and KJ=28 find LJ

1 answer:

3 0

Consider points J, K, L, M, and N located on a single straight line.

Calculate MK by subtracting KN from MN: MK = MN + (-KN) = MN - KN = 9x - 11 - (x + 3) = 8x - 14

Given that LK equals MK and LK is also 7x - 10, we set:

7x - 10 = 8x - 14

Subtracting 7x from both sides gives:

0 - 10 = x - 14

Adding 10 to both sides results in:

0 = x - 4

Hence, x equals 4.

Next, compute LJ as the sum of MK and KJ.

Since MK = LK = 7x - 10, plugging in x = 4 yields MK = 7(4) - 10 = 28 - 10 = 18

Therefore, LJ equals 18 plus 28, totaling 46.

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1 month ago

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Step-by-step explanation:

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Explicación paso a paso:

El enunciado no está completo. El texto completo es: "Un globo se desplaza entre las ciudades A y B, que se encuentran a 1.500 m de distancia. Los ocupantes del globo observan la ciudad A con un ángulo de depresión de 27°, mientras que, para la ciudad B, el ángulo es de 36°. ¿Cuál es la altura aproximada del globo con respecto al suelo?"

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