Given ΔADC and ΔAEB, What is AE?

AE = 43.2 units

Step-by-step explanation:

As per the given question image, it can be seen that in the  

1.  

2.  is common to both the triangles.

3. Two angles are common, so the third angle  is also equal to .

All the three angles in the  are equal to each other, hence the triangles are similar.

As per the property of similar triangles, the ratio of their sides will be equal.

AB : AC = AE : AD

AC = 88 units

BC = 55 units

AB = AC - AB = 33 units

Let side AE =  units

Side AD = AE + ED

So, AD =  

Using the ratio:

So, AE = 43.2 units

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb