Question

What is the value of x if HF = 4x+1 and AB = 12x-3?|


Given m

Answer 1

Answer: x = 1.25

Explanation:

HF - is the middle line of the triangle ABC.

`HF=(1)/(2) AB\\\\HF=4x+1\\AB=12x-3\\\\4x+1=(1)/(2) \cdot (12x-3)\\\\4x+1=(12x-3)/(2) \\\\(4x+1) \cdot 2 =12x-3\\8x+2=12x-3\\8x+2-12x=12x-3-12x\\-4x+2=-3\\-4x+2-2=-3-2\\-4x=-5\\-4x \cdot (-1)=-5 \cdot (-1)\\4x=5\\4x / 4=5 / 4\\x=1.25`