Find Side Length X in a Parallelogram with Perimeter 30 and AB = 10

To solve this problem, we'll follow these steps:

• Step 1: Identify the given information: $AB = 10$, $AC = X$, and the perimeter is 30.
• Step 2: Apply the formula for the perimeter of a parallelogram: $2(a + b) = \text{perimeter}$.
• Step 3: Substitute the values and solve for $X$.

Now, let's work through each step:
Step 1: The problem provides us $AB = 10$, $AC = X$, and the perimeter as 30.
Step 2: The perimeter $P$ of a parallelogram with sides $AB$ and $AC$ is given by $P = 2(AB + AC)$.
Substitute the known values: $2(10 + X) = 30$.
Step 3: Simplify this equation: $2(10 + X) = 30$ Divide both sides by 2: $10 + X = 15$ Subtract 10 from both sides to solve for $X$: $X = 5$

Therefore, the solution to the problem is $X = 5$.