Suppose dk is an angle bisector of △def. given: ek=2, fk=5, df=10. find de.

Step-by-step explanation:

We have been provided a graph of a triangle and we are asked to find the length of segment DE.

Angle bisector theorem states that if a ray bisects an angle of a triangle, then it bisects the opposite side of triangle into segments that are proportional to other two sides.

By angle bisector theorem we can set proportions of the given sides as:

Upon substituting our given values in above proportion we will get,

Upon multiplying both sides of our equation by 2 we will get,

Therefore, the length of segment DE is 4 units.

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.