Write your conclusion in part D as a theorem, and prove the theorem using a two-column proof. When you write the proof, refer to the diagram you created in part A. As part of the proof, you will have to construct a line through point A parallel to BC Mark the point where the new line intersects the angle bisector, BD, and label the point E Take a screenshot of the construcion, save it and insert the image in the space below before you begin your written proof.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

final total: 63

step-by-step explanation:

60 times sales tax

60 times 0.05

3

60 + 3

63

where is the gragh

step-by-step explanation: