Points B, D, and Fare midpoints of the sides of angle ACE. EC = 39 and DF = 18. Find AC

9
78
39
36

Line AC = 36

Step-by-step explanation: The first and most important clue is the fact that points B, D and F are midpoints of the triangle ACE. What this tells us is that point B divides line AC into two equal sides. Likewise points D and F. If point D divides line EC into two equal sides, then line ED equals

39/2 = 19.5

Also, triangle FED is similar to triangle AEC. Since ED is half of EC, and FE is half of AE. Therefore in triangles FED and AEC,

FD/ED = AC/EC

18/19.5 = AC/39

By cross multiplication we now have

(18 x 39)/19.5 = AC

702/19.5 = AC

36 = AC

Therefore line AC = 36

answer: 2 and 1

step-by-step explanation: got this question

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c