Which piece of additional information can be used to prove cea ~ cdb?

Option A is correct that is Required additional information is ∠BDC and ∠AED are right angles.

Step-by-step explanation:

We need to find an additional information used to to prove ΔCEA ~ ΔCDB

In ΔCEA and  ΔCDB

    ∠ACE = ∠BCD  ( common angle in both triangle )

if,  ∠AEC = ∠BDC  ( both are right angles )

then ΔCEA ~ ΔCDB by AA similarity criteria.

Therefore, Option A is correct that is Required additional information is ∠BDC and ∠AED are right angles.  

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.