Question

What is the value of x ???

Answer 1

x = 5

Explanation:

Use properties of congruent triangles, which states that corresponding sides are proportional.

Set up the proportion:

`(4x)/(15) = (3x+1)/(12)`

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