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How many ways can you arrange 3 things?
6 -- abc, acb, bac, bca, cab, cba
Prove that the bisectors of 2 adjacent supplementary angles include a right angle?
∠DAB + ∠EBA = 180� ⇒ 2∠CAB + 2∠CBA = 180� (Using (1) and (2)) ⇒ ∠CAB + ∠CBA = 90� In ∆ABC, ∠CAB + ∠CBA + ∠ABC = 180� (Angle sum property) ⇒ 90� + ∠ABC = 180� ⇒ ∠ABC = 180� - 90� = 90� Thus, the bisectors of two adjacent supplementary angles include a right angle.
How you can make All possible combinations of any three digits?
Well in general, the pattern for all combinations of three digits A, B, C will be: AAA, AAB, AAC, ABA, ABB, ABC, ACA, ACB, ACC, BAA, BAB, BAC, BBA, BBB, BBC, BCA, BCB, BCC, CAA, CAB, CAC, CBA, CBB, CBC, CCA, CCB, CCC
How many possible combinations of three letters are there?
Say you have the letters A,B, and C. Here are all the possible combinations. * ABC * ACB * BAC * BCA * CAB * CBA So, 6 if you don't repeat any of the letters. If you DO repeat letters, then simply take the number of letters you have, (3 for instance), and multiply it to the power of the number of letters you have. So, for 3 letters, the formula would be 33 . Or if you had 4 letters it would be 44 and so on.
What are three ways to name an angle?
Acute: 0 < X < 90; Right: = 90; Obtuse: 90 < X < 180; Straight: = 180; Reflex: 180 < X < 360. The Acut, Right, Straight and Reflex are actually classifications of an angle. Naming of an angle is done by identifying the vertex and a combination of the vertex and points on the two rays. For example an angle with points ABC where B is the vertex and A and C are points on the accompanying rays may be named as angle B, angle ABC or angle CBA. These can be written with the symbol for angle placed before the B the ABC and the CBA.
