find the value of x.\nx = (simplify your answer.)
find the value of x.\nx = (simplify your answer.)
Answer
Explanation:
Step1: Apply the midsegment theorem
The midsegment of a triangle is parallel to the third side and half its length. Here, (6x - 8) is the midsegment and (8x + 4) is the third side. So, (6x-8=\frac{1}{2}(8x + 4)).
Step2: Solve the equation
Multiply both sides by 2 to get (2(6x - 8)=8x + 4). Expand: (12x-16 = 8x+4). Subtract (8x) from both sides: (12x-8x-16=8x - 8x+4), which gives (4x-16 = 4). Add 16 to both sides: (4x-16 + 16=4 + 16), so (4x=20). Divide both sides by 4: (x=\frac{20}{4}).
Answer:
(x = 5)