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

Answer: 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°.


Question: Tagalog sentence: Ang mga pangunahing problema sa lugar na ito ay upang mahanap ang isang nonsingular algebraic iba't-ibang U, na birationally ay katumbas ng isang hindi na mababawasan algebraic iba't-ibang V, tulad na ang mapping f: UV ay regular na ngunit hindi biregular.

Answer: The main problem in this area is to find a nonsingular algebraic variety U, that is birationally equivalent to an irreducible algebraic variety V, such that the mapping f: U V is regular but not biregular.


Question: Tagalog sentence: Sa maraming computer, maaari mong i-lock ang iyong screen sa pamamagitan ng pagpunta sa Mga System Preference ng iyong computer.

Answer:
On many computers, you can lock your screen by going into your computer’s Systems Preferences.