Answer:
Step-by-step explanation:
We know the definition of both functions: , and
A) In order to evaluate what , let's first investigate what g(-1) is using the definition for this function:
Now let's find what f(2) is using f(x) definition:
B) In order to evaluate what , let's first investigate what f(3) is using the definition for this function:
Now let's find what g(7) is using the definition for this function:
Answer:
Answer 1; Angles forming a linear sum to 180°
Answer 2; Substitution
Answer 3; Definition of perpendicular lines
Step-by-step explanation:
The two column proof is presented as follows;
Statement Reason
1. ∠SWT ≅ ∠TWU Given
2. m∠SWT + m∠TWU = 180° Angles forming a linear sum to 180°
3. m∠SWT + m∠SWT = 180° Substitution
4. m∠SWT = 90° Algebra
5. ⊥
Definition of perpendicular lines
Perpendicular lines are defined as lines that are at right angles (90°) to each other, therefore given that the angle formed by the lines and
m∠SWT = 90°, therefore, the lines
and
are perpendicular to each other.