If k is the midpoint of hj and hk =x+6 and hj =4x-6 then What does kj equal?

Jaden Bird

Jaden Bird

Answered question

2022-11-24

If k is the midpoint of hj and hk =x+6 and hj =4x-6 then What does kj equal?

Answer & Explanation

driwant9HB

driwant9HB

Beginner2022-11-25Added 11 answers

Given that:
k is the midpoint of hj and hk.
hk=x+6
hj=4x-6
We know that midpoint cuts the segment hj in 2 equal parts that means hk=kj and hk+kj=hj
h k + h k = h j 2 h k = h j 2 h k = h j 2 ( x + 6 ) = ( 4 x 6 ) 2 x + 12 = 4 x 6 12 + 6 = 4 x 2 x 18 = 2 x
Divide 2 on both sides, we get
18 2 = 2 x 2 9 = x h k = k j = x + 6 = ( 9 ) + 6 = 15 k j = 15
Therefore, the value of kj is 15

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