travo3x37 travo3x37
  • 09-09-2020
  • Mathematics
contestada

9. If LK MK, LK = 7x - 10, KN = x + 3, MN = 9x - 1), and KJ = 28, find L.

Respuesta :

deannamitchell21
deannamitchell21 deannamitchell21
  • 09-09-2020

Answer:LJ = 18 + 28 = 46

Step-by-step explanation:

Suppose J, K, L, M, N are points on the same line.

MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14

Since LK = MK and LK = 7x - 10, then

7x - 10 = 8x - 14

8x - 7x = -10 + 14

x = 4

LJ = MK + KJ

MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18

LJ = 18 + 28 = 46

Answer Link

Otras preguntas

Explain what the four varnas are.
Work out the equation of the line which has a gradient of -2 and passes through the point (1,7).
The equation of the line that contains the points (1, 7) and (2, 6) is x+y=8
Explain the bridge builder by allen
What is the factorization of the trinominal below -x^2+2x +48
What three structures, in order, are involved of the production of mature sperm?
10 years from now Conner will be three times older than he is today. How old is Conner now
WORTH 75 POINTS. Name 10 cereal brands. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.
In what ways are the United States and Mexico similar? Check all that apply. A. Similar culture, especially along the border B. Share the North American contine
A piece of wood is cut into three pieces in the ratio 2:3:5. If C longer than B byby 8cm, find the lengths of the piece of wood.