1) BC intercept y at (2,1) (given)
2) The slope of AB ===> m= (-1 - 1)?(14 - 2) ===> m = - 1/6
2) the slope of BC that is perpendicular to AB is the inverse of (1/6) & change the sign, that is 6. To find the function y, apply the formula:
y-y1) = m(x-x1) ===> y-1 = 6(x-2) [the coordinate of B] ==> y= 12x - 11
3) if y= 13, replace y by 13 in the equation:
13 = 12x -11 ===>x = 2
1 is 100 degrees
2 is 72 degrees
3 is 9 degrees
4 is 125 degrees
5 is 155 degrees
6 is 91 degrees
7 is x=28 degrees
8 is x=125 degrees
9 is x=35
10. angle 2 is 86 degrees (vertical angles)
11. angle 3 s 94 degrees (supplementary to angle 2)
12. angle 4 is 86 degrees (<4 and <2 are alt. interior angles and are congruent)
13. angle 6 is 86 degrees (<6 and <4 are vertical angles)
Lxwxh=v 50x11= 550 x 2 = 1,100 your welcome
The median drawn from a vertex of a triangle intersects the opposing side at the mid point.
The three medians of a triangle intersect in a point named centroid, but that is another story.