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AVprozaik [17]
3 years ago
11

If K is the midpoint of JL, JK = 8x + 11 and KL = 14x – 1, find JL.​

Mathematics
1 answer:
masha68 [24]3 years ago
3 0

Answer:

JL=54

Step-by-step explanation:

We are given that K is the midpoint of JL. Using this information, we want to find JL.

By the definition of midpoint, this means that:

JK=KL

Substitute them for their equations:

8x+11=14x-1

Solve for <em>x.</em> Subtract 8<em>x</em> from both sides:

11=6x-1

Add 1 to both sides:

6x=12

And divide both sides by 6. Hence:

x=2

JL is the sum of JK and KL. Hence:

JK+KL=JL

Since JK = KL, substitute either one for the other:

JK+(JK)=2JK=JL

Substitute JK for its equation:

2(8x+11)=JL

Since we know that <em>x</em> = 2:

2(8(2)+11)=2(16+11)=2(27)=54=JL

Thus:

JL=54

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