A student was given the following diagram and asked to prove that AX = XC. What would be the reason for the fourth step in the proof?
Given: AB = BC and ZABX ZCBX
Prove: AX = XC
A
Х
с
Statements
1. AB BC and ZABX X CBX
2. BX BX
3. AABX ACBX
4. AXXC
Reasons
Given
Reflexive Property of Equality
SAS Triangle Congruence Theorem
A. Definition of midpoint
B. Substitution property of equality
C. Definition of perpendicular bisector
D. Corresponding parts of congruent triangles are congruent
(CPCTC)

The blue whale is the largest animal living on the earth. the average blue whale measures 100 feet long (30 meters) and weighs 300,000 pounds (136,000 kilograms). a whale’s head is 1⁄3 of the length of its body. a new baby whale is 1⁄4 the length of a grown whale. the average man is 1⁄17 the length of a blue whale, and 1⁄1,818 its weight. a human baby measures 1⁄4 of the length of an adult. calculate the following information: how long is a whale’s head? how long is a new baby whale? how tall is the average man? how much does the average man weigh? how tall is the average human baby?

Which approach to the theory-and-research cycle does the following sequence reflect: (1) specific observations suggest generalizations, (2) generalizations produce a tentative theory, (3) the theory is tested through the formation of hypotheses, and (4) hypotheses may provide suggestions for additional observations?

What expression is equivalent to (2x-1)(x-3)?