Question

2 fill in the blank 1 point solve for x (hint: look at the midsegment notes). 10x - 72 3x - 4 x = type your answer...

Explanation:

Step1: Apply the midsegment theorem

The midsegment of a triangle is parallel to the third side and half its length. So, \(3x - 4=\frac{1}{2}(10x - 72)\)

Step2: Solve the equation

Multiply both sides by 2: \(2(3x - 4)=10x - 72\)
Expand: \(6x - 8 = 10x - 72\)
Subtract \(6x\) from both sides: \(- 8=4x - 72\)
Add 72 to both sides: \(64 = 4x\)
Divide by 4: \(x = 16\)

Answer:

\(x = 16\)