Question

1. find lm

find lm
(only enter the numerical part of your answer)

Explanation:

Step1: Set up an equation

Since $LN = LM+MN$ and $LN = 17$, $LM=x - 1$, $MN=x$, we have $(x - 1)+x=17$.

Step2: Simplify the left - hand side of the equation

Combining like terms, $x-1 + x=2x-1$. So, $2x-1 = 17$.

Step3: Solve for $x$

Add 1 to both sides: $2x-1+1=17 + 1$, which gives $2x=18$. Then divide both sides by 2: $\frac{2x}{2}=\frac{18}{2}$, so $x = 9$.

Step4: Find $LM$

Since $LM=x - 1$, substitute $x = 9$ into the expression. $LM=9-1=8$.

Answer:

8