A. ASA
B. SSS
C. SAS
D. ASA

Option C:

BD ≅ BD (reflexive property) and ΔABD ≅ ΔCBD (SAS).

Solution:

Given data: BD is the perpendicular bisector of AC.

In ΔABD and ΔCBD,

AB ≅ BC (BD is the bisector of AC)

∠ABD ≅ ∠CBD (Each 90°)

BD ≅ BD (reflexive property)

Therefore, ΔABD ≅ ΔCBD by SAS similarity theorem.

Hence option C is the correct answer.

BD ≅ BD (reflexive property) and ΔABD ≅ ΔCBD (SAS).

ΔABD and ΔCBD congruence by SAS theorem.

Hence proved.

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50