Question

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

Answer 1

Answer:

KL = 10

Step-by-step 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:

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

$\implies 11x+15=26$

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

$\implies 11x=11$

$\implies \dfrac{11x}{11}=\dfrac{11}{11}$

$\implies x=1$

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

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

$\implies KL=3+7$

$\implies KL=10$

Answer 2

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.