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

User Curlywei
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1 Answer

3 votes

Answer:

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

User Augis
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