Given a sentence in English language, translate the sentence to Tagalog language keeping the meaning of the original sentence intact.

English sentence: Gold filters are the way to go, and not those messy paper ones. Gold plated stainless steel filters are a huge upgrade over paper.
Gold filter ay ang paraan upang pumunta, at hindi mga magulo mga papel. Gold tubog hindi kinakalawang na asero filter ay isang malaking upgrade sa paglipas ng papel.

English sentence: The point M is the midpoint of the arc BC on the circle c. Thus, the two chords BM and CM of the circle c have equal length. Hence, the chordal angles of these two chords must also be equal; in other words, we have &lt; BAM = &lt; CAM. Hence, the point M lies on the angle bisector of the angle BAC. Similarly, the point N lies on the angle bisector of the angle BAD. But, of course, the angle bisector of the angle BAD is the exterior angle bisector of the angle BAC; hence, since the interior and the exterior angle bisector of an angle are always perpendicular to each other, the angle bisector of the angle BAC and the angle bisector of the angle BAD are perpendicular to each other. Hence, &lt; MAN = 90°.
Ang point M ay ang midpoint ng Arc BC sa circle c. Kaya, ang dalawang Chords BM at CM ng c bilog ay may pantay na haba. Kaya, ang chordal angles ng mga dalawang Chords ay dapat pantay-pantay, sa ibang salita, mayroon kaming &lt; BAM = &lt; CAM. Kaya, ang point M kasinungalingan sa anggulo panggitnang guhit ng anggulo BAC.

English sentence: he certainly suggests that his interest went back to his student days or perhaps shortly afterwards.

siya tiyak nagmumungkahi na ang kanyang interes nagpunta bumalik sa kanyang estudyante na araw o marahil ilang sandali pagkatapos.