Question

1. assuming the following two triangles are congruent, solve for x if bc = 2x - 1 and de = x + 9.

Explanation:

Step1: Use congruent - side property

Since the two triangles are congruent, corresponding sides are equal. So, $BC = DE$.

Step2: Set up the equation

We have the equation $2x - 1=x + 9$.

Step3: Solve the equation for x

Subtract $x$ from both sides: $2x-x-1=x - x+9$, which simplifies to $x - 1=9$. Then add 1 to both sides: $x-1 + 1=9 + 1$.

Answer:

$x = 10$