math

<<equation of lines<<

1. the slope-intercept form: of a a linear equation is %%y=mx+b%% where m is the slope of the tine and b is the y-intercept.
2. the point-slope for: of a linear equation is %%y-y1=m(x-x1)%%, where %%(x1,y1)%% is any point on the line and m is the slope of the line.

]]equation of lines]]

• the equation of a horizontal line is %%y=b%%, where %%b%% is the y-intercept of line (ex: y=2)
• the equation of a vertical line is a %%x=a%%, where %%a%% is the x-intercept of the line.
• formulas: y=mx+b and y-y1=m (x-x1)

}}classifying triangle}}

• 
• we can classify angles in two ways:
• by their sides: $scalene (no equal sides), isosceles (2 equal sides), equilateral (3 equal sides)$
• by their angles:

     1. right triangle: a triangle in which one of the interior angles is 90°   2. obtuse triangle : more than 90°less then 180°   3. acute triangle: less than 90°   4. equilateral triangle: a triangle that has all its sides equal in length.

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{{angles of triangles{{

• theorem/ triangles angle-sum theorem: the sum of the measures of the angles of a triangle is 180°
• each exterior angle of a triangle has two remote interior angle that are not adjacent to the exterior angle.
• exterior angle theorem: the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. example (m<4=m<2 +m m<3)
• corollary: is theorem with a proof that follows as a direct result of another theorem.
• colloraries:
• the acute angles of a right triangle are complementary
• there can be at most on right or obtuse angle in a triangle.

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