State whether the triangles are similar. if so, write a similarity statement and the postulate or theorem you used.

ΔADB~ΔCDB; SAS~

Step-by-step explanation:

Due to the tick marks on AD and DC, we know that those sides are congruent

We also know that the angle D is congruent due to the marks

As they share line BD, that side is also congruent.

This means that we have a side, an angle, and another side.

This leaves us with the last two options

The only difference between them is what angle corresponds to which

In the case of this triangle, A and C correspond with each other and B and D are shared. This means we are looking for when the locations of A and C, and B and D are matched

This would mean that the 4th option

ΔADB~ΔCDB; SAS~

add 5 subtract 1

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.