braylii77 braylii77
  • 03-06-2020
  • Mathematics
contestada

If J is between H and K and HJ = 4x+9, JK = 3x+3 and KH = 33. What is the value of HJ?​

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Favouredlyf Favouredlyf
  • 10-06-2020

Answer:

Step-by-step explanation:

Assuming KH is a straight line with K and H being the beginning and the end of the line. If J is between H and K, it means that J is a point on line HK. Therefore, we can say that

HJ + JK= KH

If HJ = 4x + 9, JK = 3x + 3 and KH = 33, it means that

4x + 9 + 3x + 3 = 33

4x + 3x = 33 - (9 + 3)

7x = 21

Dividing both sides of the equation by 7, it becomes

x = 21/7 = 3

Therefore, HJ = 4 × 3 + 9 = 21

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