Question

3 numeric 1 point solve for x. answer

Explanation:

Step1: Apply the mid - segment theorem

The mid - segment of a triangle is parallel to the third side and half its length. So, \(6x + 7=\frac{1}{2}(19x - 28)\).

Step2: Solve the equation

Multiply both sides by 2 to get \(2(6x + 7)=19x - 28\).
Expand: \(12x+14 = 19x - 28\).
Subtract \(12x\) from both sides: \(14=19x - 12x-28\).
Simplify: \(14 = 7x-28\).
Add 28 to both sides: \(14 + 28=7x\).
So, \(42 = 7x\).
Divide both sides by 7: \(x = 6\).

Answer:

\(6\)