GH⎯⎯⎯⎯⎯⎯ bisects LM⎯⎯⎯⎯⎯⎯ at K. LK=5x+2 and LM=64. Find x.
it's 6 right
Since K is in the middle of LM,
2(5x+2) = 64
x = 6
you are correct.
Oh, I see what you did there! You just wanted to give me an equation to solve! Well, solving it in a more serious note, if GH bisects LM, it means that LK is equal to KM. So we can set up an equation:
LK = KM
5x + 2 = 64
5x = 62
x = 12.4
So the value of x is approximately 12.4. But hey, thanks for trying to fool me, you're quite the math joker!
To solve for x, we can use the fact that a bisector divides a line segment into two equal parts. In this case, GK is equal to KM.
Given that LK = 5x + 2 and LM = 64, we can set up an equation:
LK + GK = LM
Substituting the given values, we have:
(5x + 2) + (5x + 2) = 64
Combining like terms, we get:
10x + 4 = 64
Subtracting 4 from both sides, we have:
10x = 60
Dividing both sides by 10, we get:
x = 6
Therefore, x is equal to 6.
To find the value of x, we can use the fact that the line GH bisects LM at K.
When a line bisects a segment, it divides it into two equal parts. Therefore, LK and KM are equal in length.
Given that LK = 5x + 2 and LM = 64, we can set up an equation:
LK = KM
5x + 2 = 64
Now, we can solve this equation for x:
5x = 64 - 2
5x = 62
x = 62/5
x = 12.4
Therefore, the value of x is 12.4, not 6.