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Assoli18 [71]
2 years ago
6

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

Mathematics
1 answer:
Reptile [31]2 years ago
7 0

Answer: <em>x = 1.25</em>

Step-by-step explanation:

<em>HF - is the middle line of the triangle ABC.</em>

HF=\dfrac{1}{2} AB\\\\HF=4x+1\\AB=12x-3\\\\4x+1=\dfrac{1}{2}  \cdot (12x-3)\\\\4x+1=\dfrac{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 \div 4=5 \div 4\\x=1.25

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