if K is the midpoint of HJ, HK=x+6,

Teagan Fraser

Teagan Fraser

Answered question

2022-09-14

if K is the midpoint of HJ, HK=x+6, and HJ=4x-6, then KJ=?

Answer & Explanation

fudzisako

fudzisako

Skilled2023-06-01Added 105 answers

To find the length of KJ, we need to use the information given that K is the midpoint of HJ.
Let's denote:
- Length of HK = HK=x+6
- Length of HJ = HJ=4x6
- Length of KJ = KJ
Since K is the midpoint of HJ, we can use the midpoint formula, which states that the coordinates of the midpoint of a line segment are the average of the coordinates of its endpoints.
Applying this to the lengths, we have:
HK+KJ=HJ
Substituting the given values, we have:
(x+6)+KJ=4x6
Now, let's solve this equation for KJ.
KJ=(4x6)(x+6)
Simplifying, we find:
KJ=4x6x6
KJ=3x12
Therefore, the length of KJ is given by KJ=3x12.

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