Answer:
x = 5
Step-by-step explanation:
Use properties of congruent triangles, which states that corresponding sides are proportional.
Set up the proportion:
[tex]\frac{4x}{15} = \frac{3x+1}{12}[/tex]
Cross multiply:
12(4x) = 15(3x+1)
Distribute:
48x = 45x + 15
Isolate variable term on one side (by subtracting 45x from both sides):
3x = 15
Divide by 3 to solve for x:
x = 5
