Question

If:
JL = 26,
KL=3x + 7, and
JK = 8x + 8,
Find KL.
J
K
L

Answer 1

Formula we use,

→ JK + KL = JL

Now the value of x will be,

→ (8x + 8) + (3x + 7) = 26

→ 11x + 15 = 26

→ 11x = 26 - 15

→ x = 11/11

→ [ x = 1 ]

Then the value of KL will be,

→ 3x + 7

→ (3 × 1) + 7

→ 3 + 7 = 10

Hence, the value of KL is 10.

Answer 2

KL = 10

Explanation:

Given:

`JL=26`

`KL=3x+7`

`JK=8x+8`

From inspection of the given diagram:

`JK+KL=JL`

Substitute the given values into the found equation and solve for x:

`\implies 8x+8+3x+7=26`

`\implies 11x+15=26`

`\implies 11x+15-15=26-15`

`\implies 11x=11`

`\implies (11x)/(11)=(11)/(11)`

`\implies x=1`

Substitute the found value of x into the expression for KL:

`\implies KL=3(1)+7`

`\implies KL=3+7`

`\implies KL=10`