math

• Exterior Angle Inequality Theorem

  The measure of an exterior angle of a triangle is greater than the measure of either interior angle
• Postulate


  A statement that is accepted without proof
• Adjacent side


  • A side common to two angles of a triangle
• Included side


  The side between two angles of a triangle
• The measure of ∠ABC in the figure is 75°
• Exterior angle


  An angle that forms a linear pair with an interior angle of a triangle when a side of the triangle is extended
• Exterior Angle Inequality Theorem

  • The measure of an exterior angle of a triangle is greater than the measure of either of its remote interior angles
• m∠AST and m∠ASR


  m∠AST > m∠ASR
• Triangle Inequality Theorem


  The sum of the lengths of any two sides of a triangle is greater than the length of the third side
• The expected number of heads when a fair coin is tossed 100 times is 50
• If the longest side of a triangle is 15, the sum of its two shorter sides must be greater than 15
• The sum of the measures of the interior angles of a triangle is 180°
• The probability of getting a consonant when a letter is chosen at random from the word FEBRUARY is 5/8
• Tree diagram


  A graphical device used to list all possibilities of a sequence of outcomes in a systematic way
• Exterior Angle Inequality Theorem

  The measure of an exterior angle of a triangle is greater than the measure of either interior angle
• Postulate


  A statement that is accepted without proof
• Adjacent side


  • A side common to two angles of a triangle
• Included side


  The side between two angles of a triangle
• The measure of ∠ABC is 75°
• Exterior angle


  An angle that forms a linear pair with an interior angle of a triangle when a side of the triangle is extended
• Exterior Angle Inequality Theorem

  • The measure of an exterior angle of a triangle is greater than the measure of either of its remote interior angles
• m∠AST and m∠ASR


  m∠AST > m∠ASR
• Triangle Inequality Theorem


  The sum of the lengths of any two sides of a triangle is greater than the length of the third side
• The expected number of heads when a fair coin is tossed 100 times is 50
• If the longest side of a triangle is 15, the sum of its two shorter sides must be greater than 15
• The sum of the measures of the interior angles of a triangle is 180°
• The probability of getting a consonant when a letter is chosen at random from the word FEBRUARY is 5/8
• Tree diagram


  A graphical device used to list all possibilities of a sequence of outcomes in a systematic way