Question

1. find ml

m ● 2x - 6 ● l 5 + x ● k
|←—————14—————→|

Explanation:

Step1: Set up equation

Since $ML + LK=MK$, we have $(2x - 6)+(5 + x)=14$.

Step2: Combine like - terms

Combining the $x$ terms and the constant terms on the left - hand side gives $2x+x-6 + 5=14$, which simplifies to $3x-1 = 14$.

Step3: Solve for $x$

Add 1 to both sides: $3x-1 + 1=14 + 1$, so $3x=15$. Then divide both sides by 3: $\frac{3x}{3}=\frac{15}{3}$, and $x = 5$.

Step4: Find $ML$

Substitute $x = 5$ into the expression for $ML$ which is $2x-6$. So $ML=2\times5-6=10 - 6=4$.

Answer:

4